## 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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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