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Contents Chapter 1 Mechanics of Materials Fundamentals 1 1.1 External Forces 1 1.2 Internal Forces 2 1.3 Stresses 3 1.4 Strains 7 1.5 Hooke's Law 9 1.6 Tensile Properties of Low-Carbon Steel 9 1.7 Stress-Strain Curve of Ductile Materials Without Distinct Yield Point 11 1.8 Ductile and Brittle Materials 12 1.9 Properties of Materials in Compression 12 Problems 13 Chapter 2 Axial Tension and Compression 15 2.1 Axial Force 15 2.2 Normal Stress on Cross Section 15 2.3 Normal and Shearing Stresses on Oblique Section 16 2.4 Normal Strain 18 2.5 Tensile and Compressive Deformation 19 2.6 Statically Indeterminate Bar in Tension and Compression 21 2.7 Design of Tensile and Compressive Bar 22 Problems 22 Chapter 3 Torsion 25 3.1 Torsional Moment 25 3.2 Hooke's Law in Shear 25 3.3 Shearing Stress on Cross Section 26 3.4 Normal and Shearing Stresses on Oblique Section 29 3.5 Angle of Twist 29 3.6 Statically Indeterminate Shaft 31 3.7 Design of Torsional Shaft 31 Problems 32 Chapter 4 Bending Internal Forces 35 4.1 Shearing-Force and Bending-Moment Diagrams 35 4.2 Relations Between Distributed Load£¬ Shearing Force£¬ and Bending Moment 38 4.3 Relations Between Concentrated Load£¬ Shearing Force£¬ and Bending Moment 40 Problems 42 Chapter 5 Bending Stresses 44 5.1 Normal Stresses on Cross Section in Pure Bending 44 5.2 Normal and Shearing Stresses on Cross Section in Transverse-Force Bending 48 5.3 Design of Bending Beam 52 Problems 53 Chapter 6 Bending Deformation 56 6.1 Method of Integration 57 6.2 Method of Superposition 58 6.3 Statically Indeterminate Beam 59 Problems 60 Chapter 7 Stress Analysis and Strength Theories 62 7.1 Stress Transformation 62 7.2 Principal Stresses 64 7.3 Maximum Shearing Stress 66 7.4 Pressure Vessels 67 7.5 Generalized Hooke's Law 69 7.6 Strength Theories 71 Problems 75 Chapter 8 Combined Loadings 77 8.1 Bar in Eccentric Tension or Compression 77 8.2 I-Beam in Transverse-Force Bending 79 8.3 Beam in Bending and Tension/Compression 82 8.4 Shaft in Torsion and Bending 83 Problems 86 Chapter 9 Stability of Column 88 9.1 Critical Load of Long Column with Pin Supports 88 9.2 Critical Load of Long Column with Other Supports 89 9.3 Critical Stress of Long Column 90 9.4 Critical Stress of Intermediate Column 91 9.5 Design of Column 92 Problems 94 Chapter 10 Unsymmetrical Bending 96 10.1 Unsymmetrical Pure Bending 96 10.2 Unsymmetrical Transverse-Force Bending 99 Problems 104 Chapter 11 Energy Methods 106 11.1 External Work 106 11.2 Stain-Energy Density 107 11.3 Strain Energy 108 11.4 Principle of Work and Energy 111 11.5 Reciprocal Theorem 112 11.6 Castigliano's Theorem 113 11.7 Principle of Virtual Work 116 11.8 Unit Load Method 118 11.9 Applications of Energy Methods 120 Problems 121 Chapter 12 Impact Loading 125 12.1 Vertical Impact 125 12.2 Horizontal Impact 127 Problems 129 Chapter 13 Statically Indeterminate Structures 131 13.1 Static Indeterminacy 131 13.2 Force Method for Analysis of Statically Indeterminate Structures 132 13.3 Force Method for Analysis of Symmetrical Statically-Indeterminate Structures 137 Problems 139 Appendix I Properties of Area 143 I.1 First Moment (Static Moment) 143 I.2 Moment of Inertia and Polar Moment of Inertia 144 I.3 Radius of Gyration and Polar Radius of Gyration 144 I.4 Product of Inertia 145 I.5 Parallel-Axis Theorem 145 I.6 Properties of Commonly-Used Areas 146 Appendix II Shape Steels 147 II.1 I-Steel 147 II.2 Channel Steel 148 II.3 Equal Angle Steel 149 II.4 Unequal Angle Steel 151 Appendix III Deflection Curves 154 References 155 Ŀ¼ µÚ1Õ ²ÄÁÏÁ¦Ñ§»ù´¡ 156 1.1 ÍâÁ¦ 156 1.2 ÄÚÁ¦ 157 1.3 Ó¦Á¦ 158 1.4 Ó¦±ä 160 1.5 ºú¿Ë¶¨ÂÉ 162 1.6 µÍ̼¸ÖÀ­ÉìÐÔÄÜ 162 1.7 ÎÞÃ÷ÏÔÇü·þµãËÜÐÔ²ÄÁϵÄÓ¦Á¦Ó¦±äÇúÏß 164 1.8 ËÜÐÔ²ÄÁϺʹàÐÔ²ÄÁÏ 165 1.9 ²ÄÁÏѹËõÐÔÄÜ 165 Ï°Ìâ 165 µÚ2Õ ÖáÏòÀ­ÉìÓëѹËõ 167 2.1 ÖáÁ¦ 167 2.2 ºá½ØÃæÕýÓ¦Á¦ 167 2.3 б½ØÃæÕýÓ¦Á¦ºÍ¼ôÓ¦Á¦ 168 2.4 ÏßÓ¦±ä 170 2.5 À­Ñ¹±äÐÎ 171 2.6 ¾²²»¶¨À­Ñ¹¸Ë 172 2.7 À­Ñ¹¸ËÉè¼Æ 173 Ï°Ìâ 173 µÚ3Õ Ťת 176 3.1 Ť¾Ø 176 3.2 ¼ôÇкú¿Ë¶¨ÂÉ 176 3.3 ºá½ØÃæ¼ôÓ¦Á¦ 177 3.4 б½ØÃæÕýÓ¦Á¦ºÍ¼ôÓ¦Á¦ 179 3.5 Ťת½Ç 180 3.6 ¾²²»¶¨Öá 180 3.7 ŤתÖáÉè¼Æ 181 Ï°Ìâ 182 µÚ4Õ ÍäÇúÄÚÁ¦ 184 4.1 ¼ôÁ¦Í¼ºÍÍä¾Øͼ 184 4.2 ·Ö²¼Ôغɡ¢¼ôÁ¦ºÍÍä¾ØÖ®¼äµÄ¹Øϵ 186 4.3 ¼¯ÖÐÔغɡ¢¼ôÁ¦ºÍÍä¾ØÖ®¼äµÄ¹Øϵ 188 Ï°Ìâ 189 µÚ5Õ ÍäÇúÓ¦Á¦ 191 5.1 ´¿ÍäÇúºá½ØÃæÕýÓ¦Á¦ 191 5.2 ºáÁ¦ÍäÇúºá½ØÃæÕýÓ¦Á¦ºÍ¼ôÓ¦Á¦ 194 5.3 ÍäÇúÁºÉè¼Æ 197 Ï°Ìâ 198 µÚ6Õ ÍäÇú±äÐÎ 201 6.1 »ý·Ö·¨ 202 6.2 µþ¼Ó·¨ 203 6.3 ¾²²»¶¨Áº 203 Ï°Ìâ 204 µÚ7Õ ӦÁ¦·ÖÎöÓëÇ¿¶ÈÀíÂÛ 206 7.1 Ó¦Á¦±ä»» 206 7.2 Ö÷Ó¦Á¦ 208 7.3 *´ó¼ôÓ¦Á¦ 209 7.4 ѹÁ¦ÈÝÆ÷ 211 7.5 ¹ãÒåºú¿Ë¶¨ÂÉ 212 7.6 Ç¿¶ÈÀíÂÛ 214 Ï°Ìâ 217 µÚ8Õ ×éºÏÔØºÉ 218 8.1 Æ«ÐÄÀ­Ñ¹¸Ë 218 8.2 ºáÁ¦ÍäÇú¹¤×ÖÁº 219 8.3 À­Ñ¹ÍäÇúÁº 221 8.4 ÍäÇúŤתÖá 223 Ï°Ìâ 225 µÚ9Õ ѹ¸ËÎȶ¨ 227 9.1 Á½¶Ë½Â֧ϸ³¤Ñ¹¸ËÁÙ½çÔØºÉ 227 9.2 ÆäËûÖ§³Åϸ³¤Ñ¹¸ËÁÙ½çÔØºÉ 228 9.3 ϸ³¤Ñ¹¸ËÁÙ½çÓ¦Á¦ 228 9.4 Öг¤Ñ¹¸ËÁÙ½çÓ¦Á¦ 229 9.5 ѹ¸ËÉè¼Æ 230 Ï°Ìâ 232 µÚ10Õ ·Ç¶Ô³ÆÍäÇú 233 10.1 ·Ç¶Ô³Æ´¿ÍäÇú 233 10.2 ·Ç