## Introduction to Mechanics of Deformable Solids |

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Page 80

tc , the axial strain ea , and the radial strain er are Once again , stress - strain

plots such as oc

independent materials ( Fig . 5 . 6a ) . The picture for the circumferential

quantities has a ...

tc , the axial strain ea , and the radial strain er are Once again , stress - strain

plots such as oc

**versus**tc or 0 ,**versus**ea can be drawn for ductile time -independent materials ( Fig . 5 . 6a ) . The picture for the circumferential

quantities has a ...

Page 83

Therefore , to moderate strains , the plots are the same as 7

dt ) for the twisted tube . Doubling of the stress scale gives the equivalence of Oc

Therefore , to moderate strains , the plots are the same as 7

**versus**typ or } ( dy " /dt ) for the twisted tube . Doubling of the stress scale gives the equivalence of Oc

**versus**EP and 27**versus**byp . This “ exact ” result is related to but is not the ...Page 108

Draw careful sketches , labeling all slopes and critical values , for the force in

each bar

displacement of its point of application B . Bar 1 Bar 2 Bar 3 30 , 000 , 000 30 ,

000 10 ...

Draw careful sketches , labeling all slopes and critical values , for the force in

each bar

**versus**FB . Also draw a careful sketch for Fb**versus**the downwarddisplacement of its point of application B . Bar 1 Bar 2 Bar 3 30 , 000 , 000 30 ,

000 10 ...

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### Common terms and phrases

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