Introduction to Mechanics of Deformable Solids |
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Page 92
... determined by the existing value of the force and is inde- pendent of the prior history . The prior time history , however , is a determining factor for the rate of elongation of a Kelvin material . Suppose that the elongations of the ...
... determined by the existing value of the force and is inde- pendent of the prior history . The prior time history , however , is a determining factor for the rate of elongation of a Kelvin material . Suppose that the elongations of the ...
Page 228
... determined by the line through point 1 at the angle of inclination a of the 10,000 - psi normal stress on plane 1 , or by the line through 3 in the direction of the 5000 - psi compressive normal stress on plane 3 , or by the horizontal ...
... determined by the line through point 1 at the angle of inclination a of the 10,000 - psi normal stress on plane 1 , or by the line through 3 in the direction of the 5000 - psi compressive normal stress on plane 3 , or by the horizontal ...
Page 313
... determined from Eq . ( 13.5 : 10 ) , σc2 and σ then are determined from Eqs . ( 13.5 : 1 ) , σa2 and σa1 are given by Eqs . ( 13.5 : 6 ) , and R = 0 from Eqs . ( 13.5 : 2 ) . No force R is needed to prevent axial extension or ...
... determined from Eq . ( 13.5 : 10 ) , σc2 and σ then are determined from Eqs . ( 13.5 : 1 ) , σa2 and σa1 are given by Eqs . ( 13.5 : 6 ) , and R = 0 from Eqs . ( 13.5 : 2 ) . No force R is needed to prevent axial extension or ...
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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