## Introduction to Mechanics of Deformable Solids |

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Page 4

1 Pure Bending of Plane

Linear - elastic behavior 114 Elastic ... 146 Derivation of beam formulas 147

Elastic - plastic beams 149 Simulation of a beam by an

.

1 Pure Bending of Plane

**Assemblages**of Bars in Tension and Compression 111Linear - elastic behavior 114 Elastic ... 146 Derivation of beam formulas 147

Elastic - plastic beams 149 Simulation of a beam by an

**assemblage**of bars 151 7.

Page 122

13 Relaxation of five - bar composite

element model and mixed models Figure 7 . 11 shows creep and recovery in a

four - element model

...

13 Relaxation of five - bar composite

**assemblage**( see Fig . 7 . 12 ) . Four -element model and mixed models Figure 7 . 11 shows creep and recovery in a

four - element model

**assemblage**, Figs . 7 . 12 and 7 . 13 the behavior of a mixed...

Page 144

These circular arcs are quite different in appearance from the straight bars of the

between the beam and the

long ...

These circular arcs are quite different in appearance from the straight bars of the

**assemblages**we have been considering ... Much of the pictorial differencebetween the beam and the

**assemblage**of bars can be removed by replacing thelong ...

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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