## Introduction to Mechanics of Deformable Solids |

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Page 3

2 Introduction to the Basic

independent behavior in tension and compression 2 . 1 Bars Tested in Tension 9

2 . 2 Reduction from Force to Stress and from Elongation to Strain 10 2 .

2 Introduction to the Basic

**Problem**of the Bar 4 1 . 3**Problems**6 chapter 2 Time -independent behavior in tension and compression 2 . 1 Bars Tested in Tension 9

2 . 2 Reduction from Force to Stress and from Elongation to Strain 10 2 .

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chapter 1 Introduction 1 . 1 / THE GENERAL

DEFORMABLE SOLIDS In elementary mechanics , bodies are idealized as rigid

and systems thought of as connected assemblages of rigid bodies and mass

points .

chapter 1 Introduction 1 . 1 / THE GENERAL

**PROBLEM**OF MECHANICS OFDEFORMABLE SOLIDS In elementary mechanics , bodies are idealized as rigid

and systems thought of as connected assemblages of rigid bodies and mass

points .

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The bar can be and will be treated as a simplified general

be sought to the stresses , strains , and displacements , or deflections , produced

by axial force , twisting moment , bending moment , and shearing force .

The bar can be and will be treated as a simplified general

**problem**. Solutions willbe sought to the stresses , strains , and displacements , or deflections , produced

by axial force , twisting moment , bending moment , and shearing force .

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### Common terms and phrases

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