## Introduction to Mechanics of Deformable Solids |

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Page 171

11 Warping of a

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

perpendicular lines on the faces prior to

11 Warping of a

**twisted**square bar . ... at the corners of the square , the rightangle between 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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acts actual addition angle answer applied assemblage axial axis beam behavior bending carry circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve deflection deformation determined diameter dimensions direction displacement effect elastic equal equation example Figure Find force given gives homogeneous idealization increase independent 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 response result rotation shear stress shell shown shows simple sketch solution steel strain stress-strain relations structural Suppose surface symmetry temperature tensile tension thickness thin-walled tube twisting uniform unloading versus viscous yield zero