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Strain and StressStrain Relations
TwoDimensional Problems in Elasticity
Mechanical Behavior of Materials
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angle of twist applying Eq assumed axes axial axis beam bending body forces boundary conditions buckling centroid Chapter column compressive constant coordinates cross-section curvature curve cylinder deﬂection deformation derived Determine direction disk displacement elastic equations of equilibrium EXAMPLE expression factor of safety finite difference finite element finite element method given by Eq Hooke’s law indicial notation inertia integration load material matrix maximum principal maximum shearing stress maximum stress membrane method midspan Mohr’s circle normal stresses obtain plane strain plane stress plastic plate pressure principal stresses problem radial radius rectangular represents rotation shear center shear force shear strain shown in Fig sign convention simply supported solution static statically indeterminate strain energy stress components stress function stresses acting subjected Substituting surface tangential stress tensile thickness torque torsion unit length values yield zero