## 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

... subscript n = 1 , and the

shear modulus G or area of cross section A . The condition of deformation . TL TL

GjA111 ? G . A or , 2 = 42° = ye coupled with the equation of equilibrium T , + T2 ...

... subscript n = 1 , and the

**outer**tube , subscript n = 2 , need not have the sameshear modulus G or area of cross section A . The condition of deformation . TL TL

GjA111 ? G . A or , 2 = 42° = ye coupled with the equation of equilibrium T , + T2 ...

Page 187

1 : 39 ) for the

of equal thickness . From ( 9 . 1 : 39 ) : ( 9 . 1 : 40 ) 62 2t 6 62 ( 9 . 1 : 41 ) P21 =

243 00 + po From ( 9 . 1 : 37 ) : P12 = paino = 2426 60 + potom From ( 9 .

1 : 39 ) for the

**outer**shell 2 , where 2tı = 2t2 = b – a if both shells are taken to beof equal thickness . From ( 9 . 1 : 39 ) : ( 9 . 1 : 40 ) 62 2t 6 62 ( 9 . 1 : 41 ) P21 =

243 00 + po From ( 9 . 1 : 37 ) : P12 = paino = 2426 60 + potom From ( 9 .

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### Common terms and phrases

acting actual addition angle answer applied approximation assemblage axial force axis beam behavior bending circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve deflection deformation determined direction displacement effect elastic equal equation equations of equilibrium example Find force given gives homogeneous idealization increase initial interior isotropic length limit linear linear-elastic load material maximum Maxwell modulus moment nonlinear normal obtained 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 solved statically steel strain stress-strain relations structural substitution Suppose surface symmetry temperature tensile tension tion tube twisting uniform virtual viscous yield zero