Introduction to Mechanics of Deformable Solids |
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Page 386
... virtual - work equation ( 15.3 : 1 ) . No external force should be applied at F ( Fig . 15.4b ) . The residual system Q ' , R ' , S ' is in equilibrium ; P13 R ' , P11 = Q ' , Pis = S ' ; and virtual work gives = P14 P15 0 = P15 AE 6 ...
... virtual - work equation ( 15.3 : 1 ) . No external force should be applied at F ( Fig . 15.4b ) . The residual system Q ' , R ' , S ' is in equilibrium ; P13 R ' , P11 = Q ' , Pis = S ' ; and virtual work gives = P14 P15 0 = P15 AE 6 ...
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 ...
Page 395
... virtual work really shines , although integration by parts also will do the trick . You want deflection at A in some form as yet unknown . Naturally you select an upward force Q ' at A ( Fig . 15.7e ) , to exhibit va in the equation of ...
... virtual work really shines , although integration by parts also will do the trick . You want deflection at A in some form as yet unknown . Naturally you select an upward force Q ' at A ( Fig . 15.7e ) , to exhibit va in the equation 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