Introduction to mechanics of deformable solids |
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Page 162
8.4 Nested assemblage is equivalent to thick-walled tube in torsion. position
comes with substitution of T for M, r for a, and all the other simple replacements of
Sec. 4.3. 8.2 / SOLID BARS AND THICK-WALLED TUBES AS ASSEMBLAGES
OF ...
8.4 Nested assemblage is equivalent to thick-walled tube in torsion. position
comes with substitution of T for M, r for a, and all the other simple replacements of
Sec. 4.3. 8.2 / SOLID BARS AND THICK-WALLED TUBES AS ASSEMBLAGES
OF ...
Page 175
chapter 9 ThicK-walled pressure vessels 9.1 / THICK-WALLED SPHERE The
assembling of individually homogeneous bars in tension and compression to
form a beam was reasonably straightforward. The assembling of homogeneous ...
chapter 9 ThicK-walled pressure vessels 9.1 / THICK-WALLED SPHERE The
assembling of individually homogeneous bars in tension and compression to
form a beam was reasonably straightforward. The assembling of homogeneous ...
Page 191
If the shell response is elastic, find pJ2 and p2i- 9.7 Revert to the torsion of a thick
-walled shaft approximated by just two thin shells, one at the inner radius a, the
other at the outer radius b. Treat each shell of thickness t as thin, but finally ...
If the shell response is elastic, find pJ2 and p2i- 9.7 Revert to the torsion of a thick
-walled shaft approximated by just two thin shells, one at the inner radius a, the
other at the outer radius b. Treat each shell of thickness t as thin, but finally ...
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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