Introduction to Mechanics of Deformable Solids |
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Page 377
... equation of virtual work , the prime will be omitted ; when the displacements or the strains of the actual state are employed , the asterisk will be omitted . Rate forms Any equilibrium set and any compatible set may be substituted in ...
... equation of virtual work , the prime will be omitted ; when the displacements or the strains of the actual state are employed , the asterisk will be omitted . Rate forms Any equilibrium set and any compatible set may be substituted in ...
Page 386
... virtual - work equation ( 15.3 : 1 ) . No external force should be applied at F ( Fig . 15.46 ) . The residual system Q ' , R ' , S ' is in equilibrium ; R ' , P11 = Q ' , P15 P'14 = S ' ; and virtual work gives P13 = PL 0 = P13 + P14 ...
... virtual - work equation ( 15.3 : 1 ) . No external force should be applied at F ( Fig . 15.46 ) . The residual system Q ' , R ' , S ' is in equilibrium ; R ' , P11 = Q ' , P15 P'14 = S ' ; and virtual work gives P13 = PL 0 = P13 + P14 ...
Page 390
... equation of virtual work . 15.3 A. Use the equation of virtual work directly to find the downward displacement △ of pin C of the symmetric linear - elastic truss sketched in Fig . 15.2a . B. Discuss your result in terms of an energy ...
... equation of virtual work . 15.3 A. Use the equation of virtual work directly to find the downward displacement △ of pin C of the symmetric linear - elastic truss sketched in Fig . 15.2a . B. Discuss your result in terms of an energy ...
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aluminum applied assemblage axial force beam behavior change in length circle circumferential column components of stress computed constant cross section cylinder dashpot deflection diameter dimensions direction displacement elastic elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous HR steel idealization increase inelastic initial interior pressure isotropic Kelvin material linear Maxwell linear-elastic linear-viscous load M₂ maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic deformation plastic-limit Prob problem pure bending radial radius ratio residual stress rotation shaft shear strain shear stress shell shown in Fig simple shear simple tension solution statically statically indeterminate stress and strain stress-strain curve stress-strain relations structural Suppose surface symmetry t₁ temperature tensile stress thick-walled thickness time-dependent torsion uniaxial uniform unloading versus viscous yield point yield stress Young's modulus zero ΕΙ σα σο στ