Introduction to Mechanics of Deformable Solids |
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Page 99
... obtained among 813 , 814 , 815 or their time derivatives , 814 COS B 815 COS α sin ( a + B ) 813 = 814 sin +815 sin ... obtained more directly from the requirement that the determinant - -813+ cos + sin -814+ cos a + sin a = 0 - - 815+ ...
... obtained among 813 , 814 , 815 or their time derivatives , 814 COS B 815 COS α sin ( a + B ) 813 = 814 sin +815 sin ... obtained more directly from the requirement that the determinant - -813+ cos + sin -814+ cos a + sin a = 0 - - 815+ ...
Page 185
... obtained for more elementary problems with the exact answers for these problems . A secondary reason for the study of assemblages is that they are good mechanics problems of importance in their own right . Simpler conceptually than the ...
... obtained for more elementary problems with the exact answers for these problems . A secondary reason for the study of assemblages is that they are good mechanics problems of importance in their own right . Simpler conceptually than the ...
Page 251
... obtain [ see Eqs . ( 11.2 : 3 , 8 ) ] En = ta = = cos2 B + sin2 ß Ea + Ee 2 + Ea Ec 2 - cos 28 ( 11.7 : 1 ) This result ... obtained simply and directly ( Fig . 11.26 ) . The transverse motion of the end point of the diagonal ( upward to ...
... obtain [ see Eqs . ( 11.2 : 3 , 8 ) ] En = ta = = cos2 B + sin2 ß Ea + Ee 2 + Ea Ec 2 - cos 28 ( 11.7 : 1 ) This result ... obtained simply and directly ( Fig . 11.26 ) . The transverse motion of the end point of the diagonal ( upward to ...
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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 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 determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry t₁ T₂ 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