Introduction to Mechanics of Deformable Solids |
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Page 228
... Mohr's circle for the components of stress acting on any plane perpendicular to the plane of the paper . Two points are sufficient to determine the circle , because its center must lie on the σn axis . The center of the Mohr's circle is ...
... Mohr's circle for the components of stress acting on any plane perpendicular to the plane of the paper . Two points are sufficient to determine the circle , because its center must lie on the σn axis . The center of the Mohr's circle is ...
Page 234
... Mohr's circles , and label σ1 , 02 , 03 , Tmax . E. Find and sketch the components of stress on the planes which are ... circle to find the magnitudes and orientations of the principal stresses σ1 , 2 , 3 and the maximum shear stress ...
... Mohr's circles , and label σ1 , 02 , 03 , Tmax . E. Find and sketch the components of stress on the planes which are ... circle to find the magnitudes and orientations of the principal stresses σ1 , 2 , 3 and the maximum shear stress ...
Page 252
... Mohr's circle : and TIV ( ၁ ) ( a ) Positive shear stress ; is positive , Y is negative , is negative , τ Yuz is positive . ( c ) For Mohr's circle yns is negative , yn is positive . Angular change is transverse motion divided by the ...
... Mohr's circle : and TIV ( ၁ ) ( a ) Positive shear stress ; is positive , Y is negative , is negative , τ Yuz is positive . ( c ) For Mohr's circle yns is negative , yn is positive . Angular change is transverse motion divided by 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 M₂ 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 stress thick-walled time-dependent torque torsion uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ