Introduction to Mechanics of Deformable Solids |
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Page 152
... ( Actual beam A 11 in . 2 ) = 7.8 / PROBLEMS OF ACTUAL BEAMS IN PURE BENDING OR ENFORCED ROTATION 7.20 Consider a beam of uniform cross section which is symmetric about the xy plane but not the xz plane . A pure bending moment M is ...
... ( Actual beam A 11 in . 2 ) = 7.8 / PROBLEMS OF ACTUAL BEAMS IN PURE BENDING OR ENFORCED ROTATION 7.20 Consider a beam of uniform cross section which is symmetric about the xy plane but not the xz plane . A pure bending moment M is ...
Page 377
... actual , or real , state ( which satisfies both equilibrium and compatibility ) appear either in the equilibrium set ... actual state are substituted in the equation of virtual work , the prime will be omitted ; when the displacements or ...
... actual , or real , state ( which satisfies both equilibrium and compatibility ) appear either in the equilibrium set ... actual state are substituted in the equation of virtual work , the prime will be omitted ; when the displacements or ...
Page 389
... actual problem . When the displacements and strains of the actual system are considered , 8 , for example , may depend upon N , My , M2 , and T in combination . Linear - elastic systems are decoupled to the extent that each component of ...
... actual problem . When the displacements and strains of the actual system are considered , 8 , for example , may depend upon N , My , M2 , and T in combination . Linear - elastic systems are decoupled to the extent that each component 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