## Introduction to mechanics of deformable solids |

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chapter 13 Nonlinear thick-walled homogeneous

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 173

B. After a long time elapses, what are the stress and the twisting moment in each

of twist <p with time. 8.3 Now consider the three

...

B. After a long time elapses, what are the stress and the twisting moment in each

**cylinder**? C. Determine a mathematical expression for the variation of the angleof twist <p with time. 8.3 Now consider the three

**cylinders**of Probs. 8.1 and 8.2 to...

Page 191

9.3 / THICK-WALLED CIRCULAR

may be assembled geometrically from an infinite number of spheres of

infinitesimal thickness (Fig. 9.1), so the thick-walled circular

assembled from ...

9.3 / THICK-WALLED CIRCULAR

**CYLINDER**Just as the thick-walled spheremay be assembled geometrically from an infinite number of spheres of

infinitesimal thickness (Fig. 9.1), so the thick-walled circular

**cylinder**may beassembled from ...

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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 nonlinear-viscous 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 rigid end plates rotation shaft shear strain shear stress shell 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 torque torsion uniform unloading versus viscous yield curve yield stress zero