Introduction to Mechanics of Deformable Solids |
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Page 80
... V σε 2 E 2v ) a E 3ν σε 2 E 812 σα = - 3ν E - v / 2 ) is The slope of the σ . versus e plot in the linear - elastic range E / ( 1 steeper than the value E for uniaxial tension . For Poisson's ratio in the neighborhood of 0.3 , the ...
... V σε 2 E 2v ) a E 3ν σε 2 E 812 σα = - 3ν E - v / 2 ) is The slope of the σ . versus e plot in the linear - elastic range E / ( 1 steeper than the value E for uniaxial tension . For Poisson's ratio in the neighborhood of 0.3 , the ...
Page 83
... versus y or ( dy " / dt ) for the twisted tube . Doubling of the stress scale gives the equivalence of σ versus " and 27 versus " . This " exact " result is related to but is not the same as the approximate comparison with versus in ...
... versus y or ( dy " / dt ) for the twisted tube . Doubling of the stress scale gives the equivalence of σ versus " and 27 versus " . This " exact " result is related to but is not the same as the approximate comparison with versus in ...
Page 122
... versus ℗ as in Fig . 7.7 . 2. Find M and M2 " explicitly . 2 3. Plot P1 and P2 versus M for the complete cycle of loading and unloading . 4. Compare results with the elastic - perfectly plastic idealization , and explain how you would ...
... versus ℗ as in Fig . 7.7 . 2. Find M and M2 " explicitly . 2 3. Plot P1 and P2 versus M for the complete cycle of loading and unloading . 4. Compare results with the elastic - perfectly plastic idealization , and explain how you would ...
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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