Introduction to Mechanics of Deformable Solids |
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Page 55
... rotation . It requires only that the outer circle , the inner circle , and all concentric circles between the two remain concentric circles at all times . Absolute angular rotation is not the significant quantity in the twisting of a ...
... rotation . It requires only that the outer circle , the inner circle , and all concentric circles between the two remain concentric circles at all times . Absolute angular rotation is not the significant quantity in the twisting of a ...
Page 116
... rotation , e 200L / Eh , they do . As the rotation for both = sets of bars must be the same , there is a unique value of rotation intermediate between 0 and 20o , 0 , = 2.40 L Eh which permits satisfaction of the equation of equilibrium ...
... rotation , e 200L / Eh , they do . As the rotation for both = sets of bars must be the same , there is a unique value of rotation intermediate between 0 and 20o , 0 , = 2.40 L Eh which permits satisfaction of the equation of equilibrium ...
Page 142
... Rotation in time t , due to M , applied as a quadratic in time , M = Mc ( t / t1 ) 2 4. Residual stress in each bar ... rotation due to the abrupt application of Mc 3. Rotation after a very long time t2 following the slow increase of M ...
... Rotation in time t , due to M , applied as a quadratic in time , M = Mc ( t / t1 ) 2 4. Residual stress in each bar ... rotation due to the abrupt application of Mc 3. Rotation after a very long time t2 following the slow increase of M ...
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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