## Introduction to Mechanics of Deformable Solids |

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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 399

5 : 10 )

17M6 , ( 15 . 5 : 9 )

work then

5 : 10 )

**gives**a smaller qo than ( 15 . 5 : 9 ) and so is a better answer . For M6 >17M6 , ( 15 . 5 : 9 )

**gives**the actual limit load , and Fig . 15 . ... 15 . 9c ) . Virtualwork then

**gives**( qoL ) * 70 a 16 ( 0 % ) + M + M ( L – a ( L - a where 4 * = a0 * .Page 419

Trial and error

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

000 , 000 / 100 = 10 , 000 Por = 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 E , . A trial value of 50 , 000 psi

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

000

**gives**...### What people are saying - Write a review

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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