## 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

Pi + P2 = Rc Pi + P2 = RY 002A2

+ P = 0 Line of residual states PiRLi PERL2 AETA EZ (

Equilibrium ) Fig . 6 . 5

drawn ...

Pi + P2 = Rc Pi + P2 = RY 002A2

**Elastic**solution PER PER Pi + P , = R | 004 , Pi '+ P = 0 Line of residual states PiRLi PERL2 AETA EZ (

**Elastic**compatibility ) (Equilibrium ) Fig . 6 . 5

**Elastic**- perfectly plastic tubes of Fig . 6 . 4 . Diagramdrawn ...

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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