## Introduction to Mechanics of Deformable Solids |

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Page 4

1 Pure Bending of Plane Assemblages of Bars in Tension and Compression 111

Linear -

work - hardening idealization 117 Linear Maxwell idealization 118 Nonlinear ...

1 Pure Bending of Plane Assemblages of Bars in Tension and Compression 111

Linear -

**elastic**behavior 114**Elastic**- perfectly plastic idealization 115 Linear -work - hardening idealization 117 Linear Maxwell idealization 118 Nonlinear ...

Page 18

This geometric calculation is valid , but the linear -

longer applicable once appreciable plastic deformation occurs . Answers to

problems in practice and in class , which presume

be ...

This geometric calculation is valid , but the linear -

**elastic**idealization is nolonger applicable once appreciable plastic deformation occurs . Answers to

problems in practice and in class , which presume

**elastic**behavior , must alwaysbe ...

Page 102

5

temperature . Diagram The answer can be obtained instead in a straightforward

manner from the start by solving the equations of equilibrium and compatibility ,

Pi ' + P ...

5

**Elastic**- perfectly plastic tubes of Fig . 6 . 4 . drawn for zero change intemperature . Diagram The answer can be obtained instead in a straightforward

manner from the start by solving the equations of equilibrium and compatibility ,

Pi ' + P ...

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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