## Introduction to Mechanics of Deformable Solids |

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Page 55

Axial symmetry does not rule out a change in radius or an axial displacement ,

nor does it restrict the angular

of the tube can be taken as reference and the angular

Axial symmetry does not rule out a change in radius or an axial displacement ,

nor does it restrict the angular

**rotation**. ... Instead , one circle in one cross sectionof the tube can be taken as reference and the angular

**rotations**of all the other ...Page 116

A

middle pair to reach yield , because the strain in these bars is only half the strain

in the outer bars . The lever arm of the resisting moment , correspondingly , is half

as ...

A

**rotation**00 , twice the**rotation**or , DO 0o = 20 400L = Eh is required for themiddle pair to reach yield , because the strain in these bars is only half the strain

in the outer bars . The lever arm of the resisting moment , correspondingly , is half

as ...

Page 142

Residual stress in each bar produced by the application and removal of M . D .

Assume ...

**Rotation**in time ty due to Me applied abruptly and held constant for time ti 3 .**Rotation**in time tıdue to Me applied as a quadratic in time , M = M ( t / tı ) 2 4 .Residual stress in each bar produced by the application and removal of M . D .

Assume ...

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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