## Introduction to Mechanics of Deformable Solids |

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Page 15

3 / IDEALIZATIONS OF TIME -

majority of engineering applications of structural materials from metals to

concrete and ceramics to plastics and rubber , time independence of the stress -

strain ...

3 / IDEALIZATIONS OF TIME -

**INDEPENDENT**BEHAVIOR IN TENSION In themajority of engineering applications of structural materials from metals to

concrete and ceramics to plastics and rubber , time independence of the stress -

strain ...

Page 97

are two

P8 , and Pg . Additional equations of equilibrium such as Ps + P , = Fo provide no

additional information . For the parallel three - bar or three - wire system ( Fig . 6 .

are two

**independent**equations of equilibrium relating the three unknowns P7 ,P8 , and Pg . Additional equations of equilibrium such as Ps + P , = Fo provide no

additional information . For the parallel three - bar or three - wire system ( Fig . 6 .

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5 ) , with its three

provide little information , however , and no useful technique of gathering and

interpreting data when a fourth variable , say or , must be considered in addition (

thick ...

5 ) , with its three

**independent**variables of stress o a , Oc , and 7 . It wouldprovide little information , however , and no useful technique of gathering and

interpreting data when a fourth variable , say or , must be considered in addition (

thick ...

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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