## Introduction to Mechanics of Deformable Solids |

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Page 89

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GENERALIZED STRESS AND STRAIN The ... Considerations of equilibrium , of

strains and the deformations they are compatible with , and of stress - strain

1 /

**RELATION**TO THE GENERAL PROBLEM AND INTRODUCTION TOGENERALIZED STRESS AND STRAIN The ... Considerations of equilibrium , of

strains and the deformations they are compatible with , and of stress - strain

**relations**all ...Page 159

Ti and T , replace P , and P2 , T replaces R , 41 and 42 replace 81 and 82 , and

the T versus y generalized - stress - generalized - strain

versus 8

Ti and T , replace P , and P2 , T replaces R , 41 and 42 replace 81 and 82 , and

the T versus y generalized - stress - generalized - strain

**relation**replaces the Pversus 8

**relation**. There is , however , one important difference in the physical ...Page 322

For axial tension or compression , the generalized - stress - generalized - strain

U 25 N dx S PLN = Jo AE AX ( 14 . 2 : 1 ) which agrees , as it must , with the ...

For axial tension or compression , the generalized - stress - generalized - strain

**relation**is the uniaxial stress - strain**relation**itself , E = 0 / E , d8 _ N dc AE ord8 =U 25 N dx S PLN = Jo AE AX ( 14 . 2 : 1 ) which agrees , as it must , with the ...

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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