## Introduction to mechanics of deformable solids |

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chapter 13

solutions 290 chapter 14 Strength of materials approach to bars under axial force

, shafts, and beams 321 13.1 Previous Stopping Point and Restatement of

Problem ...

chapter 13

**Nonlinear**thick-walled homogeneous cylinder and assemblagesolutions 290 chapter 14 Strength of materials approach to bars under axial force

, shafts, and beams 321 13.1 Previous Stopping Point and Restatement of

Problem ...

Page 271

Equations (12.3:1 or 2) are

material which reduce to the linear forms when 5c is a constant (l/E). They

represent elastic (reversible) behavior because the state of strain is determined

uniquely ...

Equations (12.3:1 or 2) are

**nonlinear**stress-strain relations for isotropic elasticmaterial which reduce to the linear forms when 5c is a constant (l/E). They

represent elastic (reversible) behavior because the state of strain is determined

uniquely ...

Page 299

Use of Eq. (13.3:10) in the form then transforms Eq. (13.3:11) to an algebraic (

ratios ti/t2 and <Tai/aa2 are found, the equations of equilibrium (13.3:2, 3) give

the ...

Use of Eq. (13.3:10) in the form then transforms Eq. (13.3:11) to an algebraic (

**nonlinear**) equation for aai/aa2 which can be solved numerically. Once the stressratios ti/t2 and <Tai/aa2 are found, the equations of equilibrium (13.3:2, 3) give

the ...

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applied assemblage axial force beam behavior centroid circumferential column compatibility components of stress conditions of deformation constant creep cross section cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch fully plastic homogeneous idealization increase inelastic initial interior pressure isotropic Kelvin Kelvin material limit linear Maxwell linear-elastic response linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer perfectly plastic perpendicular plane plastic deformation plastic-limit Poisson's ratio principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rotation shaft shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled sphere thickness time-dependent tion torque torsion uniform unloading versus viscous yield curve yield stress zero