## 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 160

y = r « / L , and the equilibrium relation 7 = T / rA , TL Ano = 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 = r « / L , and the equilibrium relation 7 = T / rA , TL Ano = 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 ...

Page 186

The total force exerted on the

force exerted on the inner sphere 1 . Call the respective forces per unit of area ,

or pressures , P21 and P12 ( Fig . 9 . 9 ) , P1247a2 = P214162 or P12a2 = P2162

...

The total force exerted on the

**outer**sphere 2 by the bars is the same as the totalforce exerted on the inner sphere 1 . Call the respective forces per unit of area ,

or pressures , P21 and P12 ( Fig . 9 . 9 ) , P1247a2 = P214162 or P12a2 = P2162

...

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### Common terms and phrases

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