## Introduction to Mechanics of Deformable Solids |

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Page 171

8.11 Warping of a

between the edge parallel to the axis of the shaft and each of the perpendicular

lines on the faces prior to

8.11 Warping of a

**twisted**( a ) ( b ) square bar . ... of the square , the right anglebetween the edge parallel to the axis of the shaft and each of the perpendicular

lines on the faces prior to

**twisting**must remain a right angle after**twisting**( Fig .Page 173

B . After a long time elapses , what are the stress and the

cylinder ? C . Determine a mathematical expression for the variation of the angle

of

B . After a long time elapses , what are the stress and the

**twisting**moment in eachcylinder ? C . Determine a mathematical expression for the variation of the angle

of

**twist**♡ with time . 8 . 3 Now consider the three cylinders of Probs . 8 .Page 174

A

the distribution of shear stress and shear strain over the combined cross section

of the inner and the outer cylinder : A . Immediately upon application of T B .

A

**twisting**moment T is applied abruptly to the assemblage . Compute and sketchthe distribution of shear stress and shear strain over the combined cross section

of the inner and the outer cylinder : A . Immediately upon application of T B .

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actual addition angle answer applied assemblage axial axis beam behavior bending circle circular column combined components compression compressive stress computed 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 viscous yield zero