Introduction to Mechanics of Deformable Solids |
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Page 226
... Mohr's circle for stress ( oa > σc > 0 , Fig . 11.7 ) . Tns 118 ns 28 00 · On σε 2800 02 03 σε 2βσα σ 1 σε 2B Ос 02 Fig . 11.9 Mohr's circles σa > Oc . T ns σε Τα σε Τα 32B 228 σα Tns σε σα σn σε 02 28 28 Fig . 11.10 Mohr's circles σα < oc ...
... Mohr's circle for stress ( oa > σc > 0 , Fig . 11.7 ) . Tns 118 ns 28 00 · On σε 2800 02 03 σε 2βσα σ 1 σε 2B Ос 02 Fig . 11.9 Mohr's circles σa > Oc . T ns σε Τα σε Τα 32B 228 σα Tns σε σα σn σε 02 28 28 Fig . 11.10 Mohr's circles σα < oc ...
Page 252
... Mohr's circle : 77 , is negative , Tyr is positive , Yz is negative , and is positive . ( c ) For Mohr's circle yns is negative , yn is positive . Angular change is transverse motion divided by the original or final length L , h δβ = Ec ...
... Mohr's circle : 77 , is negative , Tyr is positive , Yz is negative , and is positive . ( c ) For Mohr's circle yns is negative , yn is positive . Angular change is transverse motion divided by the original or final length L , h δβ = Ec ...
Page 254
... Mohr's - circle construction when ez , ey , y are given . r = Ex - 2 ( x , -Y / 2 ) 2 2 Ey Y + € 1 = 2 + Ey 2 + r € 2 = Ez + Ey 2 r γ tan 2a = - Ex Ey both En and Yns / 2 of Eqs . ( 11.7 : 1 , 8 ) . The change from axis a to axis x and ...
... Mohr's - circle construction when ez , ey , y are given . r = Ex - 2 ( x , -Y / 2 ) 2 2 Ey Y + € 1 = 2 + Ey 2 + r € 2 = Ez + Ey 2 r γ tan 2a = - Ex Ey both En and Yns / 2 of Eqs . ( 11.7 : 1 , 8 ) . The change from axis a to axis x and ...
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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