## Introduction to Mechanics of Deformable Solids |

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Page 299

3 : 2 , 3 )

because of a fundamental and very ... 3 : 12 ) then

Eq . ( 13 . 3 : 13 )

.

3 : 2 , 3 )

**give**the stresses themselves . This straightforward procedure worksbecause of a fundamental and very ... 3 : 12 ) then

**gives**001 / 0n2 as a number ,Eq . ( 13 . 3 : 13 )

**gives**T1 / T2 , and finally Eq . ( 13 . 3 : 11 )**gives**the ratio T / bR.

Page 378

Rigid - body rotations about x , y , and z

EM , = 0 . ... The third feature is that substitution of an arbitrary displacement field

u *

Rigid - body rotations about x , y , and z

**give**, respectively , EM , = 0 , EM , = 0 ,EM , = 0 . ... The third feature is that substitution of an arbitrary displacement field

u *

**gives**an equation of equilibrium ( for the forces acting on and in the body ) ...Page 419

Trial and error

causes a large change in E , or Er . A trial value of 50 , 000 psi

000 , 000 / 100 = 10 , 000 PAT = 23 , 000 Both are too low . A trial value of 45 ,

000 ...

Trial and error

**gives**the answers quickly , because a small change in P / Acauses a large change in E , or Er . A trial value of 50 , 000 psi

**gives**Pane = 1 ,000 , 000 / 100 = 10 , 000 PAT = 23 , 000 Both are too low . A trial value of 45 ,

000 ...

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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