## 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 pat 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 pat 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

P12 ) a 2t1 ( 9 . 1 : 38 ) for the inner

ôz = 02 + po = 0o = ( 9 . 1 : 39 ) 2t2 for the outer

...

With subscripts to distinguish between the

**shells**, ĝi = 01 + P12 = 0o = ( pal –P12 ) a 2t1 ( 9 . 1 : 38 ) for the inner

**shell**1 and óg = 0 + 0 = on = ( P21 — Po ) bôz = 02 + po = 0o = ( 9 . 1 : 39 ) 2t2 for the outer

**shell**2 , where 2tı = 2t2 = b – a if...

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actual addition angle answer applied assemblage axes axial axis beam behavior bending circle circular column combined compatibility components compression compressive stress 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 versus viscous yield zero