Introduction to Mechanics of Deformable Solids |
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Page 76
... pressure po to Fig . 5.2 . A proper treatment of thick spherical shells must ... interior pres- sure is plotted against diametral expansion for a ductile ... pressure , is sufficient to predict the details of behavior in the thin shell ...
... pressure po to Fig . 5.2 . A proper treatment of thick spherical shells must ... interior pres- sure is plotted against diametral expansion for a ductile ... pressure , is sufficient to predict the details of behavior in the thin shell ...
Page 175
... pressure vessels into thick- walled vessels under interior and exterior pressure . Consider a symmetric thick - walled sphere of inner radius a and outer radius . b under interior pressure pa and exterior pressure p ( Fig . 9.1 ) ...
... pressure vessels into thick- walled vessels under interior and exterior pressure . Consider a symmetric thick - walled sphere of inner radius a and outer radius . b under interior pressure pa and exterior pressure p ( Fig . 9.1 ) ...
Page 178
... pressures pa1 . and the pressure required at r = a to produce this fully plastic state is the plastic - limit pressure pa1 , Pal b = 2 ln σο ( 9.1 : 9 ) as shown by the curve labeled Exact in Fig . 9.3 . Very high interior pressures can ...
... pressures pa1 . and the pressure required at r = a to produce this fully plastic state is the plastic - limit pressure pa1 , Pal b = 2 ln σο ( 9.1 : 9 ) as shown by the curve labeled Exact in Fig . 9.3 . Very high interior pressures can ...
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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