Introduction to Mechanics of Deformable Solids |
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Page 120
... equal bars . Sketch drawn for n large in M2 + M 3 " de 1 do dt = Eм dt = 0 + ( - ) n of 2 times the stress in the ... equal and opposite character M2 " = -M3 ' ( Fig . 7.10 ) . Remember that it is not the residual stresses σ2 " and σ3 ...
... equal bars . Sketch drawn for n large in M2 + M 3 " de 1 do dt = Eм dt = 0 + ( - ) n of 2 times the stress in the ... equal and opposite character M2 " = -M3 ' ( Fig . 7.10 ) . Remember that it is not the residual stresses σ2 " and σ3 ...
Page 156
... equal length L and equal cross section b h on their common surface bXL , as shown . For the purpose of analysis , the materials of the beam may be regarded as linear Maxwell , with different elastic constants E1 and E2 = 3E1 , but the ...
... equal length L and equal cross section b h on their common surface bXL , as shown . For the purpose of analysis , the materials of the beam may be regarded as linear Maxwell , with different elastic constants E1 and E2 = 3E1 , but the ...
Page 187
... equal thickness . From ( 9.1 : 39 ) : P21 = 2t2 b Το + ро From ( 9.1 : 37 ) : P12 = P21 b2 = 2t2b Το b2 + po a2 a2 a2 From ( 9.1 : 38 ) : PaL = 2t1 a = 00 00 + P12 - b2 a2 a2 = σο a 2t1 + 2t2 16 ) + po b2 a2 b2 a2 + Pb 2 | ( 9.1 : 40 ) ...
... equal thickness . From ( 9.1 : 39 ) : P21 = 2t2 b Το + ро From ( 9.1 : 37 ) : P12 = P21 b2 = 2t2b Το b2 + po a2 a2 a2 From ( 9.1 : 38 ) : PaL = 2t1 a = 00 00 + P12 - b2 a2 a2 = σο a 2t1 + 2t2 16 ) + po b2 a2 b2 a2 + Pb 2 | ( 9.1 : 40 ) ...
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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