## Introduction to mechanics of deformable solids |

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Page 208

This concludes the demonstration in words that the axisymmetric thin-walled tube

is one of the best specimens available for the determination of the stress-strain

relations of materials.

This concludes the demonstration in words that the axisymmetric thin-walled tube

is one of the best specimens available for the determination of the stress-strain

relations of materials.

**Radial**or proportional loading Consider now the biaxial ...Page 211

All paths of loading inside the initial yield curve elicit elastic response whether

they are

Plastic response, on the contrary, is irreversible, and the resulting components of

strain ...

All paths of loading inside the initial yield curve elicit elastic response whether

they are

**radial**or not. The state of strain is determined by the state of stress.Plastic response, on the contrary, is irreversible, and the resulting components of

strain ...

Page 441

... 429 (See also Material properties) Proportional loading, 209 Propped

cantilever beam, 334, 342 Propped cantilever column, 422 Pure bending, of

assemblages, 112, 126 of beams, 143, 147

in spherical ...

... 429 (See also Material properties) Proportional loading, 209 Propped

cantilever beam, 334, 342 Propped cantilever column, 422 Pure bending, of

assemblages, 112, 126 of beams, 143, 147

**Radial**loading, 209**Radial**strain, 75in spherical ...

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### Common terms and phrases

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