## Introduction to mechanics of deformable solids |

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Page 55

Axial symmetry does not rule out a change in radius or an axial displacement, nor

does it restrict the angular

circle, and all concentric circles between the two remain concentric circles at all ...

Axial symmetry does not rule out a change in radius or an axial displacement, nor

does it restrict the angular

**rotation**. It requires only that the outer circle, the innercircle, and all concentric circles between the two remain concentric circles at all ...

Page 116

A

reach yield, because the strain in these bars is only half the strain in the outer

bars. The lever arm of the resisting moment, correspondingly, is half as large so

that ...

A

**rotation**60, twice the**rotation**6Y, = 26Y = Eh is required for the middle pair toreach yield, because the strain in these bars is only half the strain in the outer

bars. The lever arm of the resisting moment, correspondingly, is half as large so

that ...

Page 142

Residual stress in each bar produced by the application and removal of Mc D.

Assume a ...

**Rotation**in time ti due to Mc applied abruptly and held constant for time U 3.**Rotation**in time ti due to Mc applied as a quadratic in time, M = Mc(t/ti)2 4.Residual stress in each bar produced by the application and removal of Mc D.

Assume a ...

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applied assemblage axial force beam behavior centroid circumferential column compatibility components of stress conditions of deformation constant creep cross section cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch fully plastic 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 Poisson's ratio principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates rotation shaft shear strain shear stress shell simple shear solution statically statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled sphere thickness time-dependent torque torsion uniform unloading versus viscous yield curve yield stress zero