## 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 276

12.4 Strain energy density W = a de. Complementary energy density tl = eda. (a)

cube. 12.4 / STRAIN ENERGY AND COMPLEMENTARY ENERGY DENSITY IN ...

12.4 Strain energy density W = a de. Complementary energy density tl = eda. (a)

**Nonlinear**-elastic; (6) linear-elastic; (c) stretching of unit cube; (rf) shearing of unitcube. 12.4 / STRAIN ENERGY AND COMPLEMENTARY ENERGY DENSITY IN ...

Page 299

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

ratios n/r2 and aai/aai 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 oa\/aa2 which can be solved numerically. Once the stressratios n/r2 and aai/aai are found, the equations of equilibrium (13.3:2, 3) give the

...

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angle applied assemblage axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cross section cylinder dashpot deflection diameter direction displacement elastic-perfectly plastic elongation equation of virtual equations of equilibrium factor of safety free-body sketch 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 nonlinear-viscous normal stress outer perfectly plastic perpendicular plane plastic deformation plastic-limit principal stresses Prob problem pure bending radial radius ratio rotation shaft shear center shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel strain rate stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled thickness time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress zero