## Introduction to mechanics of deformable solids |

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Page 55

Instead, one circle in one

the angular rotations of all the other circles measured with respect to it. Do the

outer and the inner circles at a given

Instead, one circle in one

**cross section**of the tube can be taken as reference andthe angular rotations of all the other circles measured with respect to it. Do the

outer and the inner circles at a given

**cross section**, as well as the concentric ...Page 168

8.9 Axial symmetry, uniformity along length, and "same" end conditions lead to a

contradiction if radial lines distort in the

...

8.9 Axial symmetry, uniformity along length, and "same" end conditions lead to a

contradiction if radial lines distort in the

**cross section**or warp out of the**cross****section**. conditions, symmetry requires the**cross section**midway between the two...

Page 171

The warping of each and every

8.11a for the reference

the ends. If each

...

The warping of each and every

**cross section**which results is as shown in Fig.8.11a for the reference

**cross section**of zero rotation which lies halfway betweenthe ends. If each

**cross section**warps in exactly the same way to the same extent,...

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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