Introduction to Mechanics of Deformable Solids |
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Page 233
... direction of σ and the plane on which it acts can be determined approxi- mately by inspection . As illustrated by the square element of Fig . 11.15a , if σo , the direction of σ in the absence of r would be the direction of the heavy ...
... direction of σ and the plane on which it acts can be determined approxi- mately by inspection . As illustrated by the square element of Fig . 11.15a , if σo , the direction of σ in the absence of r would be the direction of the heavy ...
Page 240
... direction and the direction of N , to get the component of the force in the direction of on . An abbreviated notation for Eq . ( 11.4 : 7 ) is 3 3 ση = Σ Σ σulinlin i = 1 j = 1 An even more convenient notation is σn = σijlinljn ( 11.4 ...
... direction and the direction of N , to get the component of the force in the direction of on . An abbreviated notation for Eq . ( 11.4 : 7 ) is 3 3 ση = Σ Σ σulinlin i = 1 j = 1 An even more convenient notation is σn = σijlinljn ( 11.4 ...
Page 370
... direction of V , V = P , will vary with material behavior but certainly cannot be vertical . Therefore the direction of P cannot coincide with the enforced , vertically downward direction of the deflection . When the enforced axis of ...
... direction of V , V = P , will vary with material behavior but certainly cannot be vertical . Therefore the direction of P cannot coincide with the enforced , vertically downward direction of the deflection . When the enforced axis of ...
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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