## Introduction to Mechanics of Deformable Solids |

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Page 53

4 and the discussion on the symmetry of the stress tensor )

every point . At the circles bounding each cross section Tär = Trx = 0 . The

circular or axial symmetry and the vanishing of Tær , everywhere in the central

gage ...

4 and the discussion on the symmetry of the stress tensor )

**requires**Ter = Trx atevery point . At the circles bounding each cross section Tär = Trx = 0 . The

circular or axial symmetry and the vanishing of Tær , everywhere in the central

gage ...

Page 171

Uniformity along the length not only

otherwise distort equally but , when coupled with insensitivity to end - for - end

rotation about A - A ' , also

before ...

Uniformity along the length not only

**requires**that each cross section warp orotherwise distort equally but , when coupled with insensitivity to end - for - end

rotation about A - A ' , also

**requires**that each radial line in each cross sectionbefore ...

Page 317

Consequently , the plane - strain limit state for pa = pao

Tresca criterion is adopted instead , the plastic state of plane strain

that oa be the intermediate principal stress and that the maximum shear stress ...

Consequently , the plane - strain limit state for pa = pao

**requires**R = 0 . When theTresca criterion is adopted instead , the plastic state of plane strain

**requires**onlythat oa be the intermediate principal stress and that the maximum shear stress ...

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