Introduction to Mechanics of Deformable Solids |
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Page 8
... displacements , find the time history of the stress , strain , and displacement at each point . The simplest class of these enormously complicated problems is that of static equilibrium of a body which is in equilibrium with its ...
... displacements , find the time history of the stress , strain , and displacement at each point . The simplest class of these enormously complicated problems is that of static equilibrium of a body which is in equilibrium with its ...
Page 93
... displacement ( the velocity ) of A is d81 dt + d82 dt downward The form for B should be obvious . Should a negative number appear as the answer , the velocity vector points up instead of down . Return now to the displacement of C when ...
... displacement ( the velocity ) of A is d81 dt + d82 dt downward The form for B should be obvious . Should a negative number appear as the answer , the velocity vector points up instead of down . Return now to the displacement of C when ...
Page 378
... displacements u * chosen for the com- putation of the virtual work need bear no relation to the character of the actual displacement u of the body . The second and related point is the lack of any requirement that the " displacements ...
... displacements u * chosen for the com- putation of the virtual work need bear no relation to the character of the actual displacement u of the body . The second and related point is the lack of any requirement that the " displacements ...
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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 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 statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry T₁ 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