Contents1. Stress and Strain 11.1 Internal loadings 11.2 Average normal stress in an axially loaded bar 31.3 Average shear stress in connections 51.4 Normal strain and shear strain 92. Mechanical Properties of Materials 113. Axial Load 153.1 Elastic deformation of an axially loaded member 153.2 Displacement calculation 163.3 Statically indeterminate axially loaded members 213.4 Strain energy in an axially loaded member 394. Torsion 424.1 Torsional stress 424.2 Torsional deformation 444.3 Statically indeterminate torque-loaded members 454.4 Strain energy in a torque-loaded member 485. Internal Loadings in Bending 505.1 Shear and moment functions 505.2 Shear and moment diagrams 536. Bending Stresses 626.1 Normal stress in bending 626.2 Shear stress in bending 666.3 Bending strength 766.4 Unsymmetric bending 796.5 Composite beams 876.6 Curved beams 956.7 Inelastic deformation and residual stress 997. Combined Loadings 1097.1 Thin-walled vessels 1097.2 Eccentric tension and compression 1107.3 State of stress caused by combined loadings 1138. Stress and Strain Transformation 1218.1 Plane-stress transformation 1218.2 Absolute maximum shear stress 1298.3 Material-property relationships 1318.4 Theories of failures 1449. Deflection of Beams 1509.1 The elastic curve 1509.2 Slope and displacement by integration 1549.3 Method of superposition 1579.4 Statically indeterminate beams 1639.5 Stain energy of beams 16610. Buckling of Columns 17010.1 Critical loads of columns 17010.2 Buckling of statically indeterminate structures 17710.3 Design of columns 17911. Energy Method 18611.1 Strain energy and work 18611.2 Displacement calculation by energy method 18711.3 Energy method applied to statically indeterminate problems 19211.4 Impact loadings 193Appendix Geometric Properties of an Area 202A.1 Centroid of an area 202A.2 Moment of inertia and product of inertia for an area 203A.3 Principal moment of inertia 206
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