## Introduction to mechanics of deformable solids |

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Page 166

8.7 Torque-twist curves for

between solid

Unloading from the limit state gives a residual stress pattern as shown in Fig. 8.6.

8.7 Torque-twist curves for

**shafts**of elastic-perfectly plastic material. Comparisonbetween solid

**shaft**and hollow**shaft**r, = r«/3. 3<pY is *,0 for the hollow**shaft**.Unloading from the limit state gives a residual stress pattern as shown in Fig. 8.6.

Page 170

Examine the homogeneous square

tubes provide no guide to the solution, because only a circular solid or hollow

placed ...

Examine the homogeneous square

**shaft**first (Fig. 8.10). Concentric circulartubes provide no guide to the solution, because only a circular solid or hollow

**shaft**can result from their combination. It is easy to see that no reliance can beplaced ...

Page 171

Rotation of 90° about the axis of the

end-for-end rotation about A- A'. If zero shear strain is to correspond to the zero

shear stress at the corners of the square, the right angle between the edge ...

Rotation of 90° about the axis of the

**shaft**leaves the picture unchanged, as doesend-for-end rotation about A- A'. If zero shear strain is to correspond to the zero

shear stress at the corners of the square, the right angle between the edge ...

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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 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 rotation shaft shear strain shear stress shell shown in Fig 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 tion torque torsion uniform unloading versus viscous yield curve yield stress zero