Introduction to Mechanics of Deformable Solids |
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Page 51
... circular tube of homogeneous and isotropic material . α w 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 . α w 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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Common terms and phrases
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