Introduction to Mechanics of Deformable Solids |
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Page 51
... circular tube of homogeneous and isotropic material . T tw Fig . 4.4 Typical cross section . The wall thickness tu is exag- gerated to make the details clearer . The mean radius r differs little from the outer or the inner radius . 4.2 ...
... circular tube of homogeneous and isotropic material . T tw Fig . 4.4 Typical cross section . The wall thickness tu is exag- gerated to make the details clearer . The mean radius r differs little from the outer or the inner radius . 4.2 ...
Page 163
... circular bar if the change in length of each individual tube were the same and the change in diameter were proportional to the diameter . Another way of stating this condition is that the longitudinal , or axial , strain and the trans ...
... circular bar if the change in length of each individual tube were the same and the change in diameter were proportional to the diameter . Another way of stating this condition is that the longitudinal , or axial , strain and the trans ...
Page 170
... circular tubes provide no guide to the solution , because only a circular solid or hollow shaft can result from their combination . It is easy to see that no reliance can be placed on the main results of the circular - shaft analysis ...
... circular tubes provide no guide to the solution , because only a circular solid or hollow shaft can result from their combination . It is easy to see that no reliance can be placed on the main results of the circular - shaft analysis ...
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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