Introduction to Mechanics of Deformable Solids |
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Page 53
... radius of the tube r , small enough , it is hoped , to have negligible variation of stress from the inside to the outside radius . As there can be no variation in the circumferential direction for a perfectly circular and homogeneous ...
... radius of the tube r , small enough , it is hoped , to have negligible variation of stress from the inside to the outside radius . As there can be no variation in the circumferential direction for a perfectly circular and homogeneous ...
Page 79
... radius r , and the wall thickness t . The symbol r represents equally well the inside radius r , or the mean radius rm , or the outside radius of the shell when t << r . σa ( 2πrmtw ) = p ( πr ; 2 ) σα = and pr , 2 pr 2rmtw oc2 ( Ltw ) ...
... radius r , and the wall thickness t . The symbol r represents equally well the inside radius r , or the mean radius rm , or the outside radius of the shell when t << r . σa ( 2πrmtw ) = p ( πr ; 2 ) σα = and pr , 2 pr 2rmtw oc2 ( Ltw ) ...
Page 175
... radius a and outer radius . b under interior pressure pa and exterior pressure p ( Fig . 9.1 ) . Geometrically the sphere is equivalent to a set of thin spherical shells of radius r and thickness Ar nested one inside the other . On the ...
... radius a and outer radius . b under interior pressure pa and exterior pressure p ( Fig . 9.1 ) . Geometrically the sphere is equivalent to a set of thin spherical shells of radius r and thickness Ar nested one inside the other . On the ...
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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