EDP Sciences
1776422585
20260417
fre
laboutique.edpsciences.fr-002755
03
01
01
002755
03
9782759831999
15
9782759831999
00
BA
10
01
02
Textbooks for Tomorrow's Scientists
Textbooks for Tomorrow’s Scientists introduces advanced textbooks on a wide range of topics in STM subject areas. These books offer students, researchers, faculty and professionals the resources they need to learn and succeed in graduate courses.
01
01
Mechanics of Materials
1
A01
01
A2284
Hongyan MA
MA, Hongyan
Hongyan
MA
<p>Hongyan MA is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
2
A01
01
A2285
Yue MEI
MEI, Yue
Yue
MEI
<p>Yue MEI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
3
A01
01
A2287
Dzianis MARMYSH
MARMYSH, Dzianis
Dzianis
MARMYSH
<p>Dzianis MARMYSH is associate professor at Department of Theoretical and Applied Mechanics, Belarusian State University, and has a strong expertise in teaching and research in the field of engineering mechanics.</p>
<p>Dzianis MARMYSH is associate professor at Department of Theoretical and Applied Mechanics, Belarusian State University, and has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
4
A01
01
A2286
Shunying JI
JI, Shunying
Shunying
JI
<p>Shunying JI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
<p>Shunying JI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.</p>
01
eng
00
500
03
02
24
Izibook:Subject
Ingénierie
24
Izibook:Subject
Matériaux
24
Izibook:SubjectAndCategoryAndTags
|Ingénierie|
24
Izibook:SubjectAndCategoryAndTags
|Matériaux|
20
Mechanics of materials;structural design;mechanical engineering;computational mechanics;theory and practice;computer integration;Dalian University of Technology
10
2011
TEC009020
10
2011
TEC009070
01
620
05
03
00
<blockquote>Mechanics of materials is an important introductory course that aims to provide fundamental theories for the design of engineering structures. As a prerequisite to further studies on in mechanics, this course has received significant attention to become nowadays essential and compulsory for undergraduate students majoring in engineering. The Department of Engineering Mechanics of Dalian University of Technology is a leading institute in the field of computational mechanics and engineering science in China, and has grained substantial experience in the teaching of Mechanics of materials. Authors of this book presents their core teaching materials which have distinctive features in the combination of computer science and engineering, and of theory and practice.</blockquote>
02
00
<p>Mechanics of materials is a course for engineering students, providing the basics for structural design and further studies.</p>
04
00
<p class="MsoNormal"><span lang="EN-US">CHAPTER 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Introduction to Mechanics of Materials ............................. 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.1Introduction ............................................ 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.1.1Strength, Stiffness, and Stability ....................... 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.1.2 Research Objects of Mechanics of Materials ............... 2<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2 Basic Assumptions of Mechanics of Materials ................... 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.1 Assumption of Continuity ............................ 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.2 Assumption of Homogeneity ........................... 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.3 Assumption of Isotropy .............................. 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.4 Assumption of Infinit esimal Deformation ................. 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3External Force, Internal Force and Stress ...................... 4<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3.1External Force ..................................... 4<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3.2Internal Force and Method of Section.................... 5<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3.3Stress............................................ 6<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.4Displacement, Deformation, and Strain ........................ 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.4.1Displacement and Deformation......................... 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.4.2Strain ........................................... 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5 Basic Patterns of Deformation of Prismatic Bar ................. 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.1 AxialTension and Compression ........................ 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.2 Shear............................................ 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.3Torsion .......................................... 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.4Bending .......................................... 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................10<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 2<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Axial Tension and Compression .................................. 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.1Introduction ............................................ 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.2 Axial Forces and Axial Force Diagrams ........................ 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.2.1Normal Force ...................................... 14<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.2.2 Axial Force Diagram ................................ 15<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.3 Stress in an Axially Loaded Bar ............................. 17<o:p></o:p></span></p><p class="MsoNormal">2.3.1 Stresses on Cross Section............................. 17<o:p></o:p></p><p class="MsoNormal">2.3.2 Stresses on Oblique Section........................... <span lang="EN-US">18<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.3.3Saint–Venant Principle ............................... 20<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4Mechanical Behaviour of Materials Under Tension and Compression . . 22<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4.1Introduction of Tensile and Compressive Tests ............. 22<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4.2Mechanical Behaviour of Materials Under Tension .......... 24<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4.3Mechanical Behaviour of Materials Under Compression ...... 29<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.5Strength Condition of Axially Loaded Bar ..................... 32<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.6Deformation of Axially Loaded Bar........................... 37<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.7Statically Indeterminate Problems of Axial Tension and Compression . 43<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.7.1Analysis of Statically Indeterminate Problem in Tension </span>and Compression ................................... 43</p><p class="MsoNormal"><span lang="EN-US">2.7.2Assembly Stress .................................... 48<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.7.3Thermal Stress..................................... 50<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.8 Stress Concentration ...................................... 53<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................54<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Shearing in Connections ........................................ 65<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">3.1Introduction ............................................ 65<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">3.2Strength Check of Shearing Deformation in Connections ........... 66<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">3.3Strength Check of Bearing Deformation ....................... 68<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................74<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 4<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Torsion..................................................... 79<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.1Introduction ............................................ 79<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.2Internal Torque and Internal Torque Diagram ................... 80<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.2.1Twisting Couple on a Transmission Shaft................. 80<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.2.2Internal Torque and Torque Diagrams ................... 81<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.3 Pure Shear, Shearing Stress, Hooke’s Law in Shear Situations ....... 83<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.3.1 Shear Stress on Cross Sections of a Thin-Walled Tube Induced </span>by Torsion........................................ 83</p><p class="MsoNormal"><span lang="EN-US">4.3.2Shearing Stress..................................... 83<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.3.3Hooke’s Law in Shearing ............................. 84<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.4 Shear Stress in a Circular Shaft ............................. 85<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.4.1Calculation of Shear Stress............................ 85<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.4.2Stress on Oblique Plane of a Circular Shaft Subjected </span>to Torsion........................................ 91</p><p class="MsoNormal"><span lang="EN-US">4.4.3Strength Design .................................... 94<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.5Torsional Deformation of a Circular Shaft and Stiffness Design ...... 96<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.5.1Torsional Deformation of a Circular Shaft ................ 96<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.5.2Stiffness Design .................................... 96<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.6Statically Indeterminate Shaft in Torsion ...................... 100<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.7 The Strength of Helical Springs.............................. 104<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.8 Torsion of Non circular Shafts ............................... 106</span></p><p class="MsoNormal"><span lang="EN-US">4.8.1 Free Torsion and Restrained Torsion .................... 106<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.8.2Rectangular Shaft in Torsion .......................... 107<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................109<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 5<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Bending.................................................... 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1Introduction ............................................ 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1.1Bending .......................................... 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1.2Boundary Supports of Beams .......................... 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1.3 BasicTypes of Beams ............................... 117<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.2 Shear Force and Bending Moment............................ 118<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.3 Shear Force Diagram and Bending Moment Diagram ............. 122<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.4Relationships Between Shear Forces, Bending Moments and External </span>Loads................................................. 128</p><p class="MsoNormal"><span lang="EN-US">5.4.1Differential Relations Among Shear Force, Bending Moments </span>and External Loads ................................. 128</p><p class="MsoNormal"><span lang="EN-US">5.4.2 Drawthe Shear Force and the Bending Moment </span>Diagram According to Differential Relations............... 130</p><p class="MsoNormal"><span lang="EN-US">5.4.3 Draw Bending Moment Diagram by the Principle </span>of Superposition .................................... 135</p><p class="MsoNormal"><span lang="EN-US">5.5Internal Forces in Plane Frames and Curved Beams .............. 137<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.5.1Internal Forces of Plane Frame ......................... 137<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.5.2Internal Force of Curved Beams ........................ 138<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................139<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 6<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Bending Stress ............................................... 147<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.1Introduction ............................................ 147<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2 Bending Normal Stress .................................... 148<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.1Geometric Aspects .................................. 148<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.2Physical Law ...................................... 150<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.3Statics ........................................... 150<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.4Bending Normal Stress............................... 151<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.5Normal Stress in Transverse Bending .................... 153<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3 Shear Stress in Bending ................................... 153<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3.1 Shear Stress of the Beam with Rectangular Cross Section..... 153<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3.2 Shear Stress of a Beam with I-Shape Cross Section ......... 156<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3.3 Shear Stress of a Beam with Circular and Circular Tubular </span>Cross Section ...................................... 157</p><p class="MsoNormal"><span lang="EN-US">6.3.4 Magnitude of Normal Stress and Shear Stress in Transverse </span>Bending.......................................... 159</p><p class="MsoNormal"><span lang="EN-US">6.3.5 Effects of Shear Stress on Normal Stress in Transverse </span>Bending.......................................... 160</p><p class="MsoNormal"><span lang="EN-US">6.4 Strength Condition of the Beam ............................. 162</span></p><p class="MsoNormal"><span lang="EN-US">6.4.1Strength Condition of Normal Stress .................... 162<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.4.2 Strength Condition of Shear Stress...................... 162<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.5 Plane Bending and Bending Centre of Asymmetric Section Beams ... 168<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6 Measures to Increase the Bending Strength of Beams ............. 170<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6.1 Selection of an Optimal Cross Section ................... 170<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6.2Tapered Beams and Beams of Uniform Strength ........... 171<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6.3Rearrange the External Loading of the Beam .............. 174<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................177<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Bending Deformation .......................................... 185<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.1Introduction ............................................ 185<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.2Approximated Differential Equation of Deflection Curve ........... 186<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.3Calculation of Beam Deformation by the Integral Method .......... 188<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.4 Calculate the Displacement of Beams by the Principle </span>of Superposition ......................................... 196</p><p class="MsoNormal"><span lang="EN-US">7.5 Stiffness Condition and Design of Beams ....................... 204<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.5.1Stiffness Condition of Beam ........................... 204<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.5.2Approaches to Improve Bending Stiffness ................. 205<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.6 Simple Statically Indeterminate Beams ........................ 207<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................214<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 8<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">State of Stress and Strength Theory ............................... 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1 Introduction ............................................ 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1.1Concept of State of Stress ............................ 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1.2General Description of State of Stress ................... 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1.3Strength Theory ................................... 227<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2 Plane State of Stress Analysis ............................... 228<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.1 Stress on Any Oblique Plane .......................... 228<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.2Principal Plane .................................... 229<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.3Principal Stress .................................... 230<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.4Extreme Shear Stress ................................ 231<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.3 Stress Circles in the State of Plane Stress ...................... 233<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.4 Maximum Stress in the Three-Dimensional State of Stress.......... 235<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.5Generalized Hooke’s Law .................................. 237<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.5.1Mathematical Formulation of the Generalized Hooke’s Law ... 237<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.5.2Volumetric Strain ................................... 239<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.6 Strain Energy and Distortion Energy ......................... 241<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.6.1Strain Energy and Strain Energy Density ................. 241<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.6.2Dilatational Strain Energy Density and Distortion Energy </span>Density.......................................... 242</p><p class="MsoNormal"><span lang="EN-US">8.7 Four Commonly Used Classical Strength Theories................ 243<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.7.1Strength Theory on Brittle Fracture ..................... 244<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.7.2Strength Theory of Plastic Yield ....................... 245<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS................................................. 252</span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Combined Deformation ......................................... 261<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.1Introduction ............................................ 261<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.2Unsymmetric Bending ..................................... 261<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.3Combination of Tension (or Compression) and Bending ........... 268<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.4Eccentric Load and Core of Section........................... 272<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.4.1Strength Calculation of an Eccentric Axially Loaded Bar ..... 272<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.4.2 Core of Section .................................... 276<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.5Combination of Bending and Torsion ......................... 276<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................282<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 10<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Stability of Compressive Columns ................................. 291<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.1Introduction ........................................... 291<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2Critical Force of Slender Compressive Columns and Euler’s Formula . 293<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2.1Critical Force of a Column Hinged at Both Ends ......... 293<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2.2Critical Force of the Compressive Columns with Other </span>Types of Boundary Conditions ....................... 295</p><p class="MsoNormal"><span lang="EN-US">10.2.3 General Form of Euler’s Formula ..................... 298<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2.4 Application Scope of the Euler’s Formula ............... 299<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.3Critical Force and Critical Stress of the Column with Medium </span>or Small Slenderness Ratio ................................ 300</p><p class="MsoNormal"><span lang="EN-US">10.4Stability Check of Compressive Columns ...................... 304<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5Methods to Improve the Stability of Compressive Columns ........ 307<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5.1Select a Proper Section Shape ........................ 307<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5.2Change the Constraints of Compressive Columns ......... 307<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5.3Reasonably Select Materials ......................... 308<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................308<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 11<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Energ</span>y Method............................................... 313</p><p class="MsoNormal"><span lang="EN-US">11.1Introduction ........................................... 313<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2External Work Done and Strain Energy ...................... 313<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2.1 The External Work Done ........................... 313<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2.2Strain Energy of Member ........................... 315<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2.3Strain Energy Density.............................. 317<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3Castigliano’s The orem .................................... 319<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3.1Complementary Work and Complementary Strain Energy ... 319<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3.2Introduction of Castigliano’s Theorem ................. 321<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3.3Calculation of the Displacement by Castigliano’s Theorem . . 322<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.4Principle of Virtual Work on a Deformable Body................ 327<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.5 Unit Load Method ...................................... 329<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.5.1Introduction of Unit Load Method .................... 329<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.5.2 MohrIntegral .................................... 330</span></p><p class="MsoNormal"><span lang="EN-US">11.5.3Graph Multiplication Method ........................ 336<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.6Reciprocal Theorem ..................................... 342<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.6.1Maxwell–Betti Reciprocal Work Theorem ............... 342<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.6.2Theorem of Reciprocal Displacements .................. 343<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................346<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 12<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Statically Indeterminate Structures................................ 357<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.1Introduction ........................................... 357<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2 ForceMethod and General Equation of the Force Method ......... 358<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2.1Basic Unknown Variables, the Equivalent Statically </span>Determinate System ............................... 358</p><p class="MsoNormal"><span lang="EN-US">12.2.2General Formulation of the Force Method ............... 359<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2.3Solution to Externally Statically Indeterminate Problem .... 363<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2.4Solution to Internally Statically Indeterminate Problem .... 368<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.3Symmetric Statically Indeterminate Structure .................. 371<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................379<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Dynamic Loads............................................... 387<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.1Introduction ........................................... 387<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.2 Stressand Strain of Members Under Motion with a Constant </span>Acceleration........................................... 387</p><p class="MsoNormal"><span lang="EN-US">13.2.1Stress of Members in a Uniformly Accelerated Motion...... 388<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.2.2 Stresses and Deformations of Members in a Uniform </span>Circular Motion .................................. 391</p><p class="MsoNormal"><span lang="EN-US">13.3 Stress and Deformation Under Impact........................ 394<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.4 Measures to Improve the Capability of Resisting Impact .......... 405<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................406<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 14<o:p></o:p></span></p><p class="MsoNormal">Fatigue..................................................... 413<o:p></o:p></p><p class="MsoNormal">14.1 Introduction........................................... 413<o:p></o:p></p><p class="MsoNormal">14.1.1 Alternating Stress .................................413<o:p></o:p></p><p class="MsoNormal">14.1.2 Fatigue ......................................... <span lang="EN-US">415<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.2 Endurance Limit ........................................ 417<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.2.1 The Endurance Limit of Materials .................... 417<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.2.2 The Endurance Limit of a Member .................... 418<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.3 The Fatigue Strength Check of Structures Under Symmetric Cycling </span>Loads................................................ 422</p><p class="MsoNormal"><span lang="EN-US">14.4 The Fatigue Strength Check of Structures Under Asymmetric </span>Cycling Loads .......................................... 423</p><p class="MsoNormal"><span lang="EN-US">14.5Measures to Improve the Fatigue Strength .................... 424<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................425</span></p><p class="MsoNormal"><span lang="EN-US">AppendixA1. Geometric Properties of a Cross Section ................. 429<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">AppendixA2. Cross-Sectional Properties of Shapes of Steel ............. 451<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">AppendixA3. Mechanical Properties of Materials ..................... 469<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">AppendixA4. Geometric Properties of Plane ........................ 471<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">References.................................................. </span>475<o:p></o:p></p><p></p><p class="MsoNormal">Answers to Problems.......................................... 477</p>
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laboutique.edpsciences.fr-R002614
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Mechanics of Materials
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eng
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EDP Sciences & Science Press
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Textbooks for Tomorrow's Scientists
Textbooks for Tomorrow’s Scientists introduces advanced textbooks on a wide range of topics in STM subject areas. These books offer students, researchers, faculty and professionals the resources they need to learn and succeed in graduate courses.
01
01
Mechanics of Materials
1
A01
01
A2284
Hongyan MA
MA, Hongyan
Hongyan
MA
<p>Hongyan MA is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
2
A01
01
A2285
Yue MEI
MEI, Yue
Yue
MEI
<p>Yue MEI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
3
A01
01
A2287
Dzianis MARMYSH
MARMYSH, Dzianis
Dzianis
MARMYSH
<p>Dzianis MARMYSH is associate professor at Department of Theoretical and Applied Mechanics, Belarusian State University, and has a strong expertise in teaching and research in the field of engineering mechanics.</p>
<p>Dzianis MARMYSH is associate professor at Department of Theoretical and Applied Mechanics, Belarusian State University, and has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
4
A01
01
A2286
Shunying JI
JI, Shunying
Shunying
JI
<p>Shunying JI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
<p>Shunying JI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.</p>
01
eng
08
500
03
02
24
Izibook:Subject
Ingénierie
24
Izibook:Subject
Matériaux
24
Izibook:SubjectAndCategoryAndTags
|Ingénierie|
24
Izibook:SubjectAndCategoryAndTags
|Matériaux|
20
Mechanics of materials;structural design;mechanical engineering;computational mechanics;theory and practice;computer integration;Dalian University of Technology
10
2011
TEC009020
10
2011
TEC009070
01
620
05
03
00
<blockquote>Mechanics of materials is an important introductory course that aims to provide fundamental theories for the design of engineering structures. As a prerequisite to further studies on in mechanics, this course has received significant attention to become nowadays essential and compulsory for undergraduate students majoring in engineering. The Department of Engineering Mechanics of Dalian University of Technology is a leading institute in the field of computational mechanics and engineering science in China, and has grained substantial experience in the teaching of Mechanics of materials. Authors of this book presents their core teaching materials which have distinctive features in the combination of computer science and engineering, and of theory and practice.</blockquote>
02
00
<p>Mechanics of materials is a course for engineering students, providing the basics for structural design and further studies.</p>
04
00
<p class="MsoNormal"><span lang="EN-US">CHAPTER 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Introduction to Mechanics of Materials ............................. 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.1Introduction ............................................ 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.1.1Strength, Stiffness, and Stability ....................... 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.1.2 Research Objects of Mechanics of Materials ............... 2<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2 Basic Assumptions of Mechanics of Materials ................... 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.1 Assumption of Continuity ............................ 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.2 Assumption of Homogeneity ........................... 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.3 Assumption of Isotropy .............................. 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.4 Assumption of Infinit esimal Deformation ................. 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3External Force, Internal Force and Stress ...................... 4<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3.1External Force ..................................... 4<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3.2Internal Force and Method of Section.................... 5<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3.3Stress............................................ 6<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.4Displacement, Deformation, and Strain ........................ 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.4.1Displacement and Deformation......................... 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.4.2Strain ........................................... 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5 Basic Patterns of Deformation of Prismatic Bar ................. 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.1 AxialTension and Compression ........................ 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.2 Shear............................................ 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.3Torsion .......................................... 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.4Bending .......................................... 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................10<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 2<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Axial Tension and Compression .................................. 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.1Introduction ............................................ 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.2 Axial Forces and Axial Force Diagrams ........................ 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.2.1Normal Force ...................................... 14<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.2.2 Axial Force Diagram ................................ 15<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.3 Stress in an Axially Loaded Bar ............................. 17<o:p></o:p></span></p><p class="MsoNormal">2.3.1 Stresses on Cross Section............................. 17<o:p></o:p></p><p class="MsoNormal">2.3.2 Stresses on Oblique Section........................... <span lang="EN-US">18<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.3.3Saint–Venant Principle ............................... 20<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4Mechanical Behaviour of Materials Under Tension and Compression . . 22<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4.1Introduction of Tensile and Compressive Tests ............. 22<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4.2Mechanical Behaviour of Materials Under Tension .......... 24<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4.3Mechanical Behaviour of Materials Under Compression ...... 29<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.5Strength Condition of Axially Loaded Bar ..................... 32<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.6Deformation of Axially Loaded Bar........................... 37<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.7Statically Indeterminate Problems of Axial Tension and Compression . 43<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.7.1Analysis of Statically Indeterminate Problem in Tension </span>and Compression ................................... 43</p><p class="MsoNormal"><span lang="EN-US">2.7.2Assembly Stress .................................... 48<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.7.3Thermal Stress..................................... 50<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.8 Stress Concentration ...................................... 53<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................54<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Shearing in Connections ........................................ 65<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">3.1Introduction ............................................ 65<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">3.2Strength Check of Shearing Deformation in Connections ........... 66<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">3.3Strength Check of Bearing Deformation ....................... 68<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................74<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 4<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Torsion..................................................... 79<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.1Introduction ............................................ 79<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.2Internal Torque and Internal Torque Diagram ................... 80<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.2.1Twisting Couple on a Transmission Shaft................. 80<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.2.2Internal Torque and Torque Diagrams ................... 81<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.3 Pure Shear, Shearing Stress, Hooke’s Law in Shear Situations ....... 83<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.3.1 Shear Stress on Cross Sections of a Thin-Walled Tube Induced </span>by Torsion........................................ 83</p><p class="MsoNormal"><span lang="EN-US">4.3.2Shearing Stress..................................... 83<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.3.3Hooke’s Law in Shearing ............................. 84<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.4 Shear Stress in a Circular Shaft ............................. 85<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.4.1Calculation of Shear Stress............................ 85<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.4.2Stress on Oblique Plane of a Circular Shaft Subjected </span>to Torsion........................................ 91</p><p class="MsoNormal"><span lang="EN-US">4.4.3Strength Design .................................... 94<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.5Torsional Deformation of a Circular Shaft and Stiffness Design ...... 96<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.5.1Torsional Deformation of a Circular Shaft ................ 96<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.5.2Stiffness Design .................................... 96<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.6Statically Indeterminate Shaft in Torsion ...................... 100<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.7 The Strength of Helical Springs.............................. 104<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.8 Torsion of Non circular Shafts ............................... 106</span></p><p class="MsoNormal"><span lang="EN-US">4.8.1 Free Torsion and Restrained Torsion .................... 106<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.8.2Rectangular Shaft in Torsion .......................... 107<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................109<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 5<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Bending.................................................... 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1Introduction ............................................ 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1.1Bending .......................................... 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1.2Boundary Supports of Beams .......................... 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1.3 BasicTypes of Beams ............................... 117<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.2 Shear Force and Bending Moment............................ 118<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.3 Shear Force Diagram and Bending Moment Diagram ............. 122<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.4Relationships Between Shear Forces, Bending Moments and External </span>Loads................................................. 128</p><p class="MsoNormal"><span lang="EN-US">5.4.1Differential Relations Among Shear Force, Bending Moments </span>and External Loads ................................. 128</p><p class="MsoNormal"><span lang="EN-US">5.4.2 Drawthe Shear Force and the Bending Moment </span>Diagram According to Differential Relations............... 130</p><p class="MsoNormal"><span lang="EN-US">5.4.3 Draw Bending Moment Diagram by the Principle </span>of Superposition .................................... 135</p><p class="MsoNormal"><span lang="EN-US">5.5Internal Forces in Plane Frames and Curved Beams .............. 137<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.5.1Internal Forces of Plane Frame ......................... 137<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.5.2Internal Force of Curved Beams ........................ 138<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................139<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 6<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Bending Stress ............................................... 147<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.1Introduction ............................................ 147<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2 Bending Normal Stress .................................... 148<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.1Geometric Aspects .................................. 148<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.2Physical Law ...................................... 150<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.3Statics ........................................... 150<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.4Bending Normal Stress............................... 151<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.5Normal Stress in Transverse Bending .................... 153<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3 Shear Stress in Bending ................................... 153<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3.1 Shear Stress of the Beam with Rectangular Cross Section..... 153<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3.2 Shear Stress of a Beam with I-Shape Cross Section ......... 156<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3.3 Shear Stress of a Beam with Circular and Circular Tubular </span>Cross Section ...................................... 157</p><p class="MsoNormal"><span lang="EN-US">6.3.4 Magnitude of Normal Stress and Shear Stress in Transverse </span>Bending.......................................... 159</p><p class="MsoNormal"><span lang="EN-US">6.3.5 Effects of Shear Stress on Normal Stress in Transverse </span>Bending.......................................... 160</p><p class="MsoNormal"><span lang="EN-US">6.4 Strength Condition of the Beam ............................. 162</span></p><p class="MsoNormal"><span lang="EN-US">6.4.1Strength Condition of Normal Stress .................... 162<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.4.2 Strength Condition of Shear Stress...................... 162<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.5 Plane Bending and Bending Centre of Asymmetric Section Beams ... 168<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6 Measures to Increase the Bending Strength of Beams ............. 170<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6.1 Selection of an Optimal Cross Section ................... 170<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6.2Tapered Beams and Beams of Uniform Strength ........... 171<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6.3Rearrange the External Loading of the Beam .............. 174<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................177<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Bending Deformation .......................................... 185<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.1Introduction ............................................ 185<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.2Approximated Differential Equation of Deflection Curve ........... 186<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.3Calculation of Beam Deformation by the Integral Method .......... 188<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.4 Calculate the Displacement of Beams by the Principle </span>of Superposition ......................................... 196</p><p class="MsoNormal"><span lang="EN-US">7.5 Stiffness Condition and Design of Beams ....................... 204<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.5.1Stiffness Condition of Beam ........................... 204<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.5.2Approaches to Improve Bending Stiffness ................. 205<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.6 Simple Statically Indeterminate Beams ........................ 207<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................214<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 8<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">State of Stress and Strength Theory ............................... 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1 Introduction ............................................ 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1.1Concept of State of Stress ............................ 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1.2General Description of State of Stress ................... 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1.3Strength Theory ................................... 227<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2 Plane State of Stress Analysis ............................... 228<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.1 Stress on Any Oblique Plane .......................... 228<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.2Principal Plane .................................... 229<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.3Principal Stress .................................... 230<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.4Extreme Shear Stress ................................ 231<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.3 Stress Circles in the State of Plane Stress ...................... 233<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.4 Maximum Stress in the Three-Dimensional State of Stress.......... 235<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.5Generalized Hooke’s Law .................................. 237<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.5.1Mathematical Formulation of the Generalized Hooke’s Law ... 237<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.5.2Volumetric Strain ................................... 239<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.6 Strain Energy and Distortion Energy ......................... 241<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.6.1Strain Energy and Strain Energy Density ................. 241<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.6.2Dilatational Strain Energy Density and Distortion Energy </span>Density.......................................... 242</p><p class="MsoNormal"><span lang="EN-US">8.7 Four Commonly Used Classical Strength Theories................ 243<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.7.1Strength Theory on Brittle Fracture ..................... 244<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.7.2Strength Theory of Plastic Yield ....................... 245<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS................................................. 252</span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Combined Deformation ......................................... 261<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.1Introduction ............................................ 261<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.2Unsymmetric Bending ..................................... 261<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.3Combination of Tension (or Compression) and Bending ........... 268<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.4Eccentric Load and Core of Section........................... 272<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.4.1Strength Calculation of an Eccentric Axially Loaded Bar ..... 272<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.4.2 Core of Section .................................... 276<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.5Combination of Bending and Torsion ......................... 276<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................282<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 10<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Stability of Compressive Columns ................................. 291<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.1Introduction ........................................... 291<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2Critical Force of Slender Compressive Columns and Euler’s Formula . 293<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2.1Critical Force of a Column Hinged at Both Ends ......... 293<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2.2Critical Force of the Compressive Columns with Other </span>Types of Boundary Conditions ....................... 295</p><p class="MsoNormal"><span lang="EN-US">10.2.3 General Form of Euler’s Formula ..................... 298<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2.4 Application Scope of the Euler’s Formula ............... 299<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.3Critical Force and Critical Stress of the Column with Medium </span>or Small Slenderness Ratio ................................ 300</p><p class="MsoNormal"><span lang="EN-US">10.4Stability Check of Compressive Columns ...................... 304<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5Methods to Improve the Stability of Compressive Columns ........ 307<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5.1Select a Proper Section Shape ........................ 307<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5.2Change the Constraints of Compressive Columns ......... 307<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5.3Reasonably Select Materials ......................... 308<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................308<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 11<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Energ</span>y Method............................................... 313</p><p class="MsoNormal"><span lang="EN-US">11.1Introduction ........................................... 313<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2External Work Done and Strain Energy ...................... 313<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2.1 The External Work Done ........................... 313<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2.2Strain Energy of Member ........................... 315<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2.3Strain Energy Density.............................. 317<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3Castigliano’s The orem .................................... 319<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3.1Complementary Work and Complementary Strain Energy ... 319<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3.2Introduction of Castigliano’s Theorem ................. 321<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3.3Calculation of the Displacement by Castigliano’s Theorem . . 322<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.4Principle of Virtual Work on a Deformable Body................ 327<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.5 Unit Load Method ...................................... 329<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.5.1Introduction of Unit Load Method .................... 329<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.5.2 MohrIntegral .................................... 330</span></p><p class="MsoNormal"><span lang="EN-US">11.5.3Graph Multiplication Method ........................ 336<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.6Reciprocal Theorem ..................................... 342<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.6.1Maxwell–Betti Reciprocal Work Theorem ............... 342<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.6.2Theorem of Reciprocal Displacements .................. 343<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................346<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 12<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Statically Indeterminate Structures................................ 357<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.1Introduction ........................................... 357<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2 ForceMethod and General Equation of the Force Method ......... 358<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2.1Basic Unknown Variables, the Equivalent Statically </span>Determinate System ............................... 358</p><p class="MsoNormal"><span lang="EN-US">12.2.2General Formulation of the Force Method ............... 359<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2.3Solution to Externally Statically Indeterminate Problem .... 363<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2.4Solution to Internally Statically Indeterminate Problem .... 368<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.3Symmetric Statically Indeterminate Structure .................. 371<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................379<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Dynamic Loads............................................... 387<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.1Introduction ........................................... 387<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.2 Stressand Strain of Members Under Motion with a Constant </span>Acceleration........................................... 387</p><p class="MsoNormal"><span lang="EN-US">13.2.1Stress of Members in a Uniformly Accelerated Motion...... 388<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.2.2 Stresses and Deformations of Members in a Uniform </span>Circular Motion .................................. 391</p><p class="MsoNormal"><span lang="EN-US">13.3 Stress and Deformation Under Impact........................ 394<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.4 Measures to Improve the Capability of Resisting Impact .......... 405<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................406<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 14<o:p></o:p></span></p><p class="MsoNormal">Fatigue..................................................... 413<o:p></o:p></p><p class="MsoNormal">14.1 Introduction........................................... 413<o:p></o:p></p><p class="MsoNormal">14.1.1 Alternating Stress .................................413<o:p></o:p></p><p class="MsoNormal">14.1.2 Fatigue ......................................... <span lang="EN-US">415<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.2 Endurance Limit ........................................ 417<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.2.1 The Endurance Limit of Materials .................... 417<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.2.2 The Endurance Limit of a Member .................... 418<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.3 The Fatigue Strength Check of Structures Under Symmetric Cycling </span>Loads................................................ 422</p><p class="MsoNormal"><span lang="EN-US">14.4 The Fatigue Strength Check of Structures Under Asymmetric </span>Cycling Loads .......................................... 423</p><p class="MsoNormal"><span lang="EN-US">14.5Measures to Improve the Fatigue Strength .................... 424<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................425</span></p><p class="MsoNormal"><span lang="EN-US">AppendixA1. Geometric Properties of a Cross Section ................. 429<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">AppendixA2. Cross-Sectional Properties of Shapes of Steel ............. 451<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">AppendixA3. Mechanical Properties of Materials ..................... 469<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">AppendixA4. Geometric Properties of Plane ........................ 471<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">References.................................................. </span>475<o:p></o:p></p><p></p><p class="MsoNormal">Answers to Problems.......................................... 477</p>
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laboutique.edpsciences.fr-002757
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Textbooks for Tomorrow's Scientists
Textbooks for Tomorrow’s Scientists introduces advanced textbooks on a wide range of topics in STM subject areas. These books offer students, researchers, faculty and professionals the resources they need to learn and succeed in graduate courses.
01
01
Mechanics of Materials
1
A01
01
A2284
Hongyan MA
MA, Hongyan
Hongyan
MA
<p>Hongyan MA is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
2
A01
01
A2285
Yue MEI
MEI, Yue
Yue
MEI
<p>Yue MEI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
3
A01
01
A2287
Dzianis MARMYSH
MARMYSH, Dzianis
Dzianis
MARMYSH
<p>Dzianis MARMYSH is associate professor at Department of Theoretical and Applied Mechanics, Belarusian State University, and has a strong expertise in teaching and research in the field of engineering mechanics.</p>
<p>Dzianis MARMYSH is associate professor at Department of Theoretical and Applied Mechanics, Belarusian State University, and has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
4
A01
01
A2286
Shunying JI
JI, Shunying
Shunying
JI
<p>Shunying JI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.<br></p>
<p>Shunying JI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.</p>
01
eng
08
500
03
02
24
Izibook:Subject
Ingénierie
24
Izibook:Subject
Matériaux
24
Izibook:SubjectAndCategoryAndTags
|Ingénierie|
24
Izibook:SubjectAndCategoryAndTags
|Matériaux|
20
Mechanics of materials;structural design;mechanical engineering;computational mechanics;theory and practice;computer integration;Dalian University of Technology
10
2011
TEC009020
10
2011
TEC009070
01
620
05
03
00
<blockquote>Mechanics of materials is an important introductory course that aims to provide fundamental theories for the design of engineering structures. As a prerequisite to further studies on in mechanics, this course has received significant attention to become nowadays essential and compulsory for undergraduate students majoring in engineering. The Department of Engineering Mechanics of Dalian University of Technology is a leading institute in the field of computational mechanics and engineering science in China, and has grained substantial experience in the teaching of Mechanics of materials. Authors of this book presents their core teaching materials which have distinctive features in the combination of computer science and engineering, and of theory and practice.</blockquote>
02
00
<p>Mechanics of materials is a course for engineering students, providing the basics for structural design and further studies.</p>
04
00
<p class="MsoNormal"><span lang="EN-US">CHAPTER 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Introduction to Mechanics of Materials ............................. 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.1Introduction ............................................ 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.1.1Strength, Stiffness, and Stability ....................... 1<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.1.2 Research Objects of Mechanics of Materials ............... 2<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2 Basic Assumptions of Mechanics of Materials ................... 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.1 Assumption of Continuity ............................ 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.2 Assumption of Homogeneity ........................... 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.3 Assumption of Isotropy .............................. 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.2.4 Assumption of Infinit esimal Deformation ................. 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3External Force, Internal Force and Stress ...................... 4<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3.1External Force ..................................... 4<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3.2Internal Force and Method of Section.................... 5<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.3.3Stress............................................ 6<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.4Displacement, Deformation, and Strain ........................ 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.4.1Displacement and Deformation......................... 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.4.2Strain ........................................... 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5 Basic Patterns of Deformation of Prismatic Bar ................. 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.1 AxialTension and Compression ........................ 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.2 Shear............................................ 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.3Torsion .......................................... 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">1.5.4Bending .......................................... 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................10<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 2<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Axial Tension and Compression .................................. 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.1Introduction ............................................ 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.2 Axial Forces and Axial Force Diagrams ........................ 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.2.1Normal Force ...................................... 14<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.2.2 Axial Force Diagram ................................ 15<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.3 Stress in an Axially Loaded Bar ............................. 17<o:p></o:p></span></p><p class="MsoNormal">2.3.1 Stresses on Cross Section............................. 17<o:p></o:p></p><p class="MsoNormal">2.3.2 Stresses on Oblique Section........................... <span lang="EN-US">18<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.3.3Saint–Venant Principle ............................... 20<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4Mechanical Behaviour of Materials Under Tension and Compression . . 22<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4.1Introduction of Tensile and Compressive Tests ............. 22<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4.2Mechanical Behaviour of Materials Under Tension .......... 24<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.4.3Mechanical Behaviour of Materials Under Compression ...... 29<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.5Strength Condition of Axially Loaded Bar ..................... 32<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.6Deformation of Axially Loaded Bar........................... 37<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.7Statically Indeterminate Problems of Axial Tension and Compression . 43<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.7.1Analysis of Statically Indeterminate Problem in Tension </span>and Compression ................................... 43</p><p class="MsoNormal"><span lang="EN-US">2.7.2Assembly Stress .................................... 48<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.7.3Thermal Stress..................................... 50<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">2.8 Stress Concentration ...................................... 53<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................54<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 3<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Shearing in Connections ........................................ 65<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">3.1Introduction ............................................ 65<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">3.2Strength Check of Shearing Deformation in Connections ........... 66<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">3.3Strength Check of Bearing Deformation ....................... 68<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................74<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 4<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Torsion..................................................... 79<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.1Introduction ............................................ 79<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.2Internal Torque and Internal Torque Diagram ................... 80<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.2.1Twisting Couple on a Transmission Shaft................. 80<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.2.2Internal Torque and Torque Diagrams ................... 81<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.3 Pure Shear, Shearing Stress, Hooke’s Law in Shear Situations ....... 83<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.3.1 Shear Stress on Cross Sections of a Thin-Walled Tube Induced </span>by Torsion........................................ 83</p><p class="MsoNormal"><span lang="EN-US">4.3.2Shearing Stress..................................... 83<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.3.3Hooke’s Law in Shearing ............................. 84<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.4 Shear Stress in a Circular Shaft ............................. 85<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.4.1Calculation of Shear Stress............................ 85<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.4.2Stress on Oblique Plane of a Circular Shaft Subjected </span>to Torsion........................................ 91</p><p class="MsoNormal"><span lang="EN-US">4.4.3Strength Design .................................... 94<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.5Torsional Deformation of a Circular Shaft and Stiffness Design ...... 96<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.5.1Torsional Deformation of a Circular Shaft ................ 96<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.5.2Stiffness Design .................................... 96<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.6Statically Indeterminate Shaft in Torsion ...................... 100<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.7 The Strength of Helical Springs.............................. 104<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.8 Torsion of Non circular Shafts ............................... 106</span></p><p class="MsoNormal"><span lang="EN-US">4.8.1 Free Torsion and Restrained Torsion .................... 106<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">4.8.2Rectangular Shaft in Torsion .......................... 107<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................109<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 5<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Bending.................................................... 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1Introduction ............................................ 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1.1Bending .......................................... 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1.2Boundary Supports of Beams .......................... 115<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.1.3 BasicTypes of Beams ............................... 117<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.2 Shear Force and Bending Moment............................ 118<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.3 Shear Force Diagram and Bending Moment Diagram ............. 122<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.4Relationships Between Shear Forces, Bending Moments and External </span>Loads................................................. 128</p><p class="MsoNormal"><span lang="EN-US">5.4.1Differential Relations Among Shear Force, Bending Moments </span>and External Loads ................................. 128</p><p class="MsoNormal"><span lang="EN-US">5.4.2 Drawthe Shear Force and the Bending Moment </span>Diagram According to Differential Relations............... 130</p><p class="MsoNormal"><span lang="EN-US">5.4.3 Draw Bending Moment Diagram by the Principle </span>of Superposition .................................... 135</p><p class="MsoNormal"><span lang="EN-US">5.5Internal Forces in Plane Frames and Curved Beams .............. 137<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.5.1Internal Forces of Plane Frame ......................... 137<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">5.5.2Internal Force of Curved Beams ........................ 138<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................139<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 6<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Bending Stress ............................................... 147<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.1Introduction ............................................ 147<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2 Bending Normal Stress .................................... 148<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.1Geometric Aspects .................................. 148<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.2Physical Law ...................................... 150<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.3Statics ........................................... 150<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.4Bending Normal Stress............................... 151<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.2.5Normal Stress in Transverse Bending .................... 153<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3 Shear Stress in Bending ................................... 153<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3.1 Shear Stress of the Beam with Rectangular Cross Section..... 153<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3.2 Shear Stress of a Beam with I-Shape Cross Section ......... 156<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.3.3 Shear Stress of a Beam with Circular and Circular Tubular </span>Cross Section ...................................... 157</p><p class="MsoNormal"><span lang="EN-US">6.3.4 Magnitude of Normal Stress and Shear Stress in Transverse </span>Bending.......................................... 159</p><p class="MsoNormal"><span lang="EN-US">6.3.5 Effects of Shear Stress on Normal Stress in Transverse </span>Bending.......................................... 160</p><p class="MsoNormal"><span lang="EN-US">6.4 Strength Condition of the Beam ............................. 162</span></p><p class="MsoNormal"><span lang="EN-US">6.4.1Strength Condition of Normal Stress .................... 162<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.4.2 Strength Condition of Shear Stress...................... 162<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.5 Plane Bending and Bending Centre of Asymmetric Section Beams ... 168<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6 Measures to Increase the Bending Strength of Beams ............. 170<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6.1 Selection of an Optimal Cross Section ................... 170<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6.2Tapered Beams and Beams of Uniform Strength ........... 171<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">6.6.3Rearrange the External Loading of the Beam .............. 174<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................177<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 7<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Bending Deformation .......................................... 185<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.1Introduction ............................................ 185<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.2Approximated Differential Equation of Deflection Curve ........... 186<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.3Calculation of Beam Deformation by the Integral Method .......... 188<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.4 Calculate the Displacement of Beams by the Principle </span>of Superposition ......................................... 196</p><p class="MsoNormal"><span lang="EN-US">7.5 Stiffness Condition and Design of Beams ....................... 204<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.5.1Stiffness Condition of Beam ........................... 204<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.5.2Approaches to Improve Bending Stiffness ................. 205<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">7.6 Simple Statically Indeterminate Beams ........................ 207<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................214<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 8<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">State of Stress and Strength Theory ............................... 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1 Introduction ............................................ 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1.1Concept of State of Stress ............................ 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1.2General Description of State of Stress ................... 225<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.1.3Strength Theory ................................... 227<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2 Plane State of Stress Analysis ............................... 228<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.1 Stress on Any Oblique Plane .......................... 228<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.2Principal Plane .................................... 229<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.3Principal Stress .................................... 230<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.2.4Extreme Shear Stress ................................ 231<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.3 Stress Circles in the State of Plane Stress ...................... 233<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.4 Maximum Stress in the Three-Dimensional State of Stress.......... 235<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.5Generalized Hooke’s Law .................................. 237<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.5.1Mathematical Formulation of the Generalized Hooke’s Law ... 237<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.5.2Volumetric Strain ................................... 239<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.6 Strain Energy and Distortion Energy ......................... 241<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.6.1Strain Energy and Strain Energy Density ................. 241<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.6.2Dilatational Strain Energy Density and Distortion Energy </span>Density.......................................... 242</p><p class="MsoNormal"><span lang="EN-US">8.7 Four Commonly Used Classical Strength Theories................ 243<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.7.1Strength Theory on Brittle Fracture ..................... 244<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">8.7.2Strength Theory of Plastic Yield ....................... 245<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS................................................. 252</span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 9<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Combined Deformation ......................................... 261<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.1Introduction ............................................ 261<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.2Unsymmetric Bending ..................................... 261<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.3Combination of Tension (or Compression) and Bending ........... 268<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.4Eccentric Load and Core of Section........................... 272<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.4.1Strength Calculation of an Eccentric Axially Loaded Bar ..... 272<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.4.2 Core of Section .................................... 276<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">9.5Combination of Bending and Torsion ......................... 276<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................282<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 10<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Stability of Compressive Columns ................................. 291<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.1Introduction ........................................... 291<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2Critical Force of Slender Compressive Columns and Euler’s Formula . 293<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2.1Critical Force of a Column Hinged at Both Ends ......... 293<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2.2Critical Force of the Compressive Columns with Other </span>Types of Boundary Conditions ....................... 295</p><p class="MsoNormal"><span lang="EN-US">10.2.3 General Form of Euler’s Formula ..................... 298<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.2.4 Application Scope of the Euler’s Formula ............... 299<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.3Critical Force and Critical Stress of the Column with Medium </span>or Small Slenderness Ratio ................................ 300</p><p class="MsoNormal"><span lang="EN-US">10.4Stability Check of Compressive Columns ...................... 304<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5Methods to Improve the Stability of Compressive Columns ........ 307<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5.1Select a Proper Section Shape ........................ 307<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5.2Change the Constraints of Compressive Columns ......... 307<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">10.5.3Reasonably Select Materials ......................... 308<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................308<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 11<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Energ</span>y Method............................................... 313</p><p class="MsoNormal"><span lang="EN-US">11.1Introduction ........................................... 313<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2External Work Done and Strain Energy ...................... 313<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2.1 The External Work Done ........................... 313<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2.2Strain Energy of Member ........................... 315<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.2.3Strain Energy Density.............................. 317<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3Castigliano’s The orem .................................... 319<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3.1Complementary Work and Complementary Strain Energy ... 319<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3.2Introduction of Castigliano’s Theorem ................. 321<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.3.3Calculation of the Displacement by Castigliano’s Theorem . . 322<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.4Principle of Virtual Work on a Deformable Body................ 327<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.5 Unit Load Method ...................................... 329<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.5.1Introduction of Unit Load Method .................... 329<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.5.2 MohrIntegral .................................... 330</span></p><p class="MsoNormal"><span lang="EN-US">11.5.3Graph Multiplication Method ........................ 336<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.6Reciprocal Theorem ..................................... 342<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.6.1Maxwell–Betti Reciprocal Work Theorem ............... 342<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">11.6.2Theorem of Reciprocal Displacements .................. 343<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................346<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 12<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Statically Indeterminate Structures................................ 357<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.1Introduction ........................................... 357<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2 ForceMethod and General Equation of the Force Method ......... 358<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2.1Basic Unknown Variables, the Equivalent Statically </span>Determinate System ............................... 358</p><p class="MsoNormal"><span lang="EN-US">12.2.2General Formulation of the Force Method ............... 359<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2.3Solution to Externally Statically Indeterminate Problem .... 363<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.2.4Solution to Internally Statically Indeterminate Problem .... 368<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">12.3Symmetric Statically Indeterminate Structure .................. 371<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................379<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 13<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">Dynamic Loads............................................... 387<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.1Introduction ........................................... 387<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.2 Stressand Strain of Members Under Motion with a Constant </span>Acceleration........................................... 387</p><p class="MsoNormal"><span lang="EN-US">13.2.1Stress of Members in a Uniformly Accelerated Motion...... 388<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.2.2 Stresses and Deformations of Members in a Uniform </span>Circular Motion .................................. 391</p><p class="MsoNormal"><span lang="EN-US">13.3 Stress and Deformation Under Impact........................ 394<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">13.4 Measures to Improve the Capability of Resisting Impact .......... 405<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................406<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">CHAPTER 14<o:p></o:p></span></p><p class="MsoNormal">Fatigue..................................................... 413<o:p></o:p></p><p class="MsoNormal">14.1 Introduction........................................... 413<o:p></o:p></p><p class="MsoNormal">14.1.1 Alternating Stress .................................413<o:p></o:p></p><p class="MsoNormal">14.1.2 Fatigue ......................................... <span lang="EN-US">415<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.2 Endurance Limit ........................................ 417<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.2.1 The Endurance Limit of Materials .................... 417<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.2.2 The Endurance Limit of a Member .................... 418<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">14.3 The Fatigue Strength Check of Structures Under Symmetric Cycling </span>Loads................................................ 422</p><p class="MsoNormal"><span lang="EN-US">14.4 The Fatigue Strength Check of Structures Under Asymmetric </span>Cycling Loads .......................................... 423</p><p class="MsoNormal"><span lang="EN-US">14.5Measures to Improve the Fatigue Strength .................... 424<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">PROBLEMS.................................................425</span></p><p class="MsoNormal"><span lang="EN-US">AppendixA1. Geometric Properties of a Cross Section ................. 429<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">AppendixA2. Cross-Sectional Properties of Shapes of Steel ............. 451<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">AppendixA3. Mechanical Properties of Materials ..................... 469<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">AppendixA4. Geometric Properties of Plane ........................ 471<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-US">References.................................................. </span>475<o:p></o:p></p><p></p><p class="MsoNormal">Answers to Problems.......................................... 477</p>
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