## Introduction to Mechanics of Deformable Solids |

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Page 55

Instead , one circle in one

and 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 referenceand the 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

9 Axial symmetry , uniformity along length , and “ same ” end conditions lead to a

contradiction if radial lines distort in the

two ...

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 thetwo ...

Page 171

The warping of each and every

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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### Common terms and phrases

acting actual addition angle answer applied approximation assemblage axial force axis beam behavior bending circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve deflection deformation determined direction displacement effect elastic equal equation equations of equilibrium example Find force given gives homogeneous idealization increase initial interior isotropic length limit linear linear-elastic load material maximum Maxwell modulus moment nonlinear normal obtained plane plastic positive pressure principal Prob problem produced pure radius range ratio relation replaced requires response result rotation shear stress shell shown shows simple sketch solution solved statically steel strain stress-strain relations structural substitution Suppose surface symmetry temperature tensile tension tion tube twisting uniform virtual viscous yield zero