## Introduction to Mechanics of Deformable Solids |

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Page 127

In all these cases , the relevant stress - strain relation is one = Enen ( 7 . 3 : 8 ) A

liberal sprinkling of superscripts ( e ) serves as a reminder that linear - elastic

response is under discussion .

In all these cases , the relevant stress - strain relation is one = Enen ( 7 . 3 : 8 ) A

liberal sprinkling of superscripts ( e ) serves as a reminder that linear - elastic

response is under discussion .

**Substitution**of ( 7 . 3 : 3 ) for en ( see also Fig . 7 .Page 389

Note that

actual system for both the equilibrium set and the compatible set in the equation

of virtual work ( 15 . 3 : 12 ) gives a work - energy balance form . 1 2 { F , u ; = Su

Ne ...

Note that

**substitution**of the forces , displacements , stresses and strains of theactual system for both the equilibrium set and the compatible set in the equation

of virtual work ( 15 . 3 : 12 ) gives a work - energy balance form . 1 2 { F , u ; = Su

Ne ...

Page 411

3 : 7 )

- Vo Si or har et go = vo sin ma ( 16 . 3 : 8 ) We no longer have an eigenvalue or

buckling problem but simply a deflection problem ; v = 0 is not a solution of Eq ...

3 : 7 )

**Substitution**for M and for vi from Eq . ( 16 . 3 : 6 ) gives het ( o – vo sin " 1 ) -- Vo Si or har et go = vo sin ma ( 16 . 3 : 8 ) We no longer have an eigenvalue or

buckling problem but simply a deflection problem ; v = 0 is not a solution of Eq ...

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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