## Introduction to mechanics of deformable solids |

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Page 168

If uniformity along the entire length of the

distribution of stress on the end cross sections which will keep the end cross

sections plane as well. (Of course, this is precisely the distribution of stress

enforced ...

If uniformity along the entire length of the

**shaft**is possible, there must be somedistribution of stress on the end cross sections which will keep the end cross

sections plane as well. (Of course, this is precisely the distribution of stress

enforced ...

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

If zero shear strain is to correspond to the zero shear stress at the corners of the

square, the right angle between the edge parallel to the axis of the

each of the perpendicular lines on the faces prior to twisting must remain a right ...

If zero shear strain is to correspond to the zero shear stress at the corners of the

square, the right angle between the edge parallel to the axis of the

**shaft**andeach of the perpendicular lines on the faces prior to twisting must remain a right ...

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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