Introduction to Mechanics of Deformable Solids |
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Page 55
... 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 tube . This is obvious when the tube is a ...
... 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 tube . This is obvious when the tube is a ...
Page 228
... circle for the components of stress acting on any plane perpendicular to the plane of the paper . Two points are sufficient to determine the circle , because its center must lie on the on axis . The center of the Mohr's circle is ...
... circle for the components of stress acting on any plane perpendicular to the plane of the paper . Two points are sufficient to determine the circle , because its center must lie on the on axis . The center of the Mohr's circle is ...
Page 230
... Circle is traced out as ẞ goes from 0 to 180 ° ( see Fig . 11.8 ) . The calculation is simple and direct and should not be skipped . The result , however , can be written down without going through the entire process of summation of ...
... Circle is traced out as ẞ goes from 0 to 180 ° ( see Fig . 11.8 ) . The calculation is simple and direct and should not be skipped . The result , however , can be written down without going through the entire process of summation of ...
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angle applied assemblage axes axial force beam behavior buckling cantilever centroid circular circumferential column compatibility components of stress compression constant creep cross section cylinder deflection diameter direction displacement elastic elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous idealization inelastic initial interior pressure isotropic J₂ Kelvin Kelvin material limit linear Maxwell linear-elastic linear-viscoelastic linear-viscous load M₂ material maximum Maxwell material modulus Mohr's circle neutral axis nonlinear nonlinear-viscous normal stress P₁ P₂ perfectly plastic perpendicular plane plastic-limit principal stresses Prob problem radial radius ratio rotation shaft shear center 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 temperature tensile stress thick-walled time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ