## Introduction to mechanics of deformable solids |

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Page 163

It is worth recalling that the special strain requirement is met in

tension or compression of bars of homogeneous isotropic material of any cross

section; the axial strain is

It is worth recalling that the special strain requirement is met in

**uniform**axialtension or compression of bars of homogeneous isotropic material of any cross

section; the axial strain is

**uniform**, and the transverse strains are the same in all ...Page 356

14.11 The beam of Prob. 14.9 is modified by changing its cross section from

round to square and by fixing the end A against rotation but keeping B as a

simple support. P is removed, and a

entire span.

14.11 The beam of Prob. 14.9 is modified by changing its cross section from

round to square and by fixing the end A against rotation but keeping B as a

simple support. P is removed, and a

**uniform**load of q lb/in. is applied over theentire span.

Page 420

Each leads to an eigenvalue problem; the initial, perfectly straight configuration is

a possible equilibrium state. If the columns are linear-elastic, some of the

buckling loads can be obtained from others. For example, Pc for the

cantilever ...

Each leads to an eigenvalue problem; the initial, perfectly straight configuration is

a possible equilibrium state. If the columns are linear-elastic, some of the

buckling loads can be obtained from others. For example, Pc for the

**uniform**cantilever ...

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angle applied assemblage axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cross section cylinder dashpot deflection diameter direction displacement elastic-perfectly plastic elongation equation of virtual equations of equilibrium factor of safety free-body sketch homogeneous idealization increase inelastic initial interior pressure isotropic Kelvin Kelvin material limit linear Maxwell linear-elastic response linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear nonlinear-viscous normal stress outer perfectly plastic perpendicular plane plastic deformation plastic-limit principal stresses Prob problem pure bending radial radius ratio rotation shaft shear center shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel strain rate stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled thickness time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress zero