Introduction to Mechanics of Deformable Solids |
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Page 6
... 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 Tod3 12 ( r ̧3 — r ; 3 ) To as compared with the twisting moment for first yield , TY Π = Tod3 16 The ratio To / TY 16 = = is large but not quite so large as the corresponding bending - moment ratio of in a ...
... solid shaft of diameter d = π Tod3 12 ( r ̧3 — r ; 3 ) To as compared with the twisting moment for first yield , TY Π = Tod3 16 The ratio To / TY 16 = = is large but not quite so large as the corresponding bending - moment ratio of in a ...
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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Common terms and phrases
aluminum applied assemblage axial force beam behavior change in length circle circumferential column components of stress computed constant cross section cylinder dashpot deflection diameter dimensions direction displacement elastic elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous HR steel idealization increase inelastic initial interior pressure isotropic Kelvin material linear Maxwell linear-elastic linear-viscous load M₂ maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic deformation plastic-limit Prob problem pure bending radial radius ratio residual stress rotation shaft shear strain shear stress shell shown in Fig simple shear simple tension solution statically statically indeterminate stress and strain stress-strain curve stress-strain relations structural Suppose surface symmetry t₁ temperature tensile stress thick-walled thickness time-dependent torsion uniaxial uniform unloading versus viscous yield point yield stress Young's modulus zero ΕΙ σα σο στ