Introduction to Mechanics of Deformable Solids |
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Page 98
... equation in P7 , P8 , and P ,, provided of course that a force - elongation relation exists . It does for linear - elastic bars with zero or known initial stress . For zero initial stress & has the form PL / AE + aL0c , where 0 , is the ...
... equation in P7 , P8 , and P ,, provided of course that a force - elongation relation exists . It does for linear - elastic bars with zero or known initial stress . For zero initial stress & has the form PL / AE + aL0c , where 0 , is the ...
Page 180
... equation ( 9.1 : 16 ) gives d dr στ 2νσο = [ ( 1 v ) roe - - vro , ] ( 9.1 : 18 ) on the assumption that E does not vary with r . Take the material as homoge- neous throughout so that is constant also , and use the equation of ...
... equation ( 9.1 : 16 ) gives d dr στ 2νσο = [ ( 1 v ) roe - - vro , ] ( 9.1 : 18 ) on the assumption that E does not vary with r . Take the material as homoge- neous throughout so that is constant also , and use the equation of ...
Page 386
... 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 AE AE 13 ( PE ) ...
... 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 AE AE 13 ( PE ) ...
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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