## Introduction to Mechanics of Deformable Solids |

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Page 55

It requires only that the

between the two remain concentric circles at all times . Absolute angular rotation

is not the significant quantity in the twisting of a tube . This is obvious when the

tube ...

It requires only that the

**outer**circle , the inner circle , and all concentric circlesbetween the two remain concentric circles at all times . Absolute angular rotation

is not the significant quantity in the twisting of a tube . This is obvious when the

tube ...

Page 57

5 , the shear strain y at the

in angle from the original 90° between the direction of the generator and any one

of the

5 , the shear strain y at the

**outer**surface is this constant angle of tilt , the changein angle from the original 90° between the direction of the generator and any one

of the

**outer**circles . Therefore , as illustrated in Fig . 4 . 9 , tan y is given by the ...Page 160

y = rų / L , and the equilibrium relation 7 = T / ra , T , L on " = Gn ( Anrn ? ) The

inner tube , subscript n = 1 , and the

the same shear modulus G or area of cross section A . The condition of

deformation ...

y = rų / L , and the equilibrium relation 7 = T / ra , T , L on " = Gn ( Anrn ? ) The

inner tube , subscript n = 1 , and the

**outer**tube , subscript n = 2 , need not havethe same shear modulus G or area of cross section A . The condition of

deformation ...

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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