Introduction to Mechanics of Deformable Solids |
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... Solid Bars and Thick - walled Tubes as Assemblages of Thin - walled Tubes 162 8.3 Independent Derivation for Solid Circular Shaft 167 8.4 Noncircular Cross Sections 8.5 Torsion Problems 172 9.1 Thick - walled Sphere 175 169 Limit ...
... Solid Bars and Thick - walled Tubes as Assemblages of Thin - walled Tubes 162 8.3 Independent Derivation for Solid Circular Shaft 167 8.4 Noncircular Cross Sections 8.5 Torsion Problems 172 9.1 Thick - walled Sphere 175 169 Limit ...
Page 165
... solid shaft of diameter d π To = 12 To Tod3 as compared with the twisting moment for first yield , TY π = Toda 16 = The ratio To / TY = 16 is large but not quite so large as the corresponding bending - moment ratio of in a beam of ...
... solid shaft of diameter d π To = 12 To Tod3 as compared with the twisting moment for first yield , TY π = Toda 16 = The ratio To / TY = 16 is large but not quite so large as the corresponding bending - moment ratio of in a beam of ...
Page 166
... solid shaft . Hollow shafts are more effective than solid , just as properly oriented I beams are more effec- tive bending - moment carrying members than rectangular beams . They also have lower residual stresses than solid bars when ...
... solid shaft . Hollow shafts are more effective than solid , just as properly oriented I beams are more effec- tive bending - moment carrying members than rectangular beams . They also have lower residual stresses than solid bars when ...
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applied assemblage axes axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous idealization increase inelastic initial interior pressure isotropic J₂ Kelvin Kelvin material limit linear Maxwell linear-elastic linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic-limit principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates rotation shaft shear strain shear stress shell shown in Fig simple shear solution statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry T₁ T₂ temperature tensile tensile stress thick-walled time-dependent torque torsion uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ