## Introduction to Mechanics of Deformable Solids |

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Page 185

Although each

must approximate b - a . Approximation by one or more thin

for the plastic - limit pressure per can be obtained by pretending that the elastic ...

Although each

**shell**will be treated as very thin , the combined thickness reallymust approximate b - a . Approximation by one or more thin

**shells**A crude resultfor the plastic - limit pressure per can be obtained by pretending that the elastic ...

Page 186

9 Simulation by two spherical

9 . 9 . Algebra then is kept to a minimum consistent with an understanding of the

behavior of the real system . Numbers obtained , however , cannot be expected ...

9 Simulation by two spherical

**shells**( presumed thin ) . radius b , as drawn in Fig .9 . 9 . Algebra then is kept to a minimum consistent with an understanding of the

behavior of the real system . Numbers obtained , however , cannot be expected ...

Page 187

With subscripts to distinguish between the

0o = ( 9 . 1 : 38 ) 2t1 for the inner

( 9 . 1 : 39 ) for the outer

...

With subscripts to distinguish between the

**shells**, ởi = 1 + P1 = = p . * - P12 ) a =0o = ( 9 . 1 : 38 ) 2t1 for the inner

**shell**1 and Ộ2 = 02 + po = 0o = ( P21 – pob 2t2( 9 . 1 : 39 ) for the outer

**shell**2 , where 2tı = 2t2 = b – a if both**shells**are taken to...

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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