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 20Y , 0 , e = 2.40 L Eh = which permits satisfaction of the equation of ...
... 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 20Y , 0 , e = 2.40 L Eh = which permits satisfaction of the equation of ...
Page 142
... Rotation in time t1 due to M , applied as a quadratic in time , M = Me ( t / t1 ) 2 4. Residual stress in each bar ... rotation due to the abrupt application of M. 3. Rotation after a very long time t2 following the slow increase of M to ...
... Rotation in time t1 due to M , applied as a quadratic in time , M = Me ( t / t1 ) 2 4. Residual stress in each bar ... rotation due to the abrupt application of M. 3. Rotation after a very long time t2 following the slow increase of M to ...
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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