Introduction to Mechanics of Deformable Solids |
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Page 57
... approximation to the assumed constancy of strain . Unfortunately , the thinner the tube , the less the shear stress and strain it can carry before it buckles out of its circular shape . Experi- mental results can be obtained for the ...
... approximation to the assumed constancy of strain . Unfortunately , the thinner the tube , the less the shear stress and strain it can carry before it buckles out of its circular shape . Experi- mental results can be obtained for the ...
Page 185
... approximation and simulation . Therefore we have studied assemblages of a few bars which simulate a beam in bending and assem- blages of a few circular tubes which simulate a circular bar in torsion . Develop- ment of a feeling for ...
... approximation and simulation . Therefore we have studied assemblages of a few bars which simulate a beam in bending and assem- blages of a few circular tubes which simulate a circular bar in torsion . Develop- ment of a feeling for ...
Page 251
... approximation . To the same approximation tan ( B + 88 ) = 1 tan ẞtan 88 = ― tan ẞ tan 86 tan 6+ ( 1 + tan2 ß ) B so that δβ = ( Ec Ea ) tan B 1 + tan2 B = ( ca ) sin ẞ cos B ( 11.7 : 3 ) This result , too , can be obtained simply and ...
... approximation . To the same approximation tan ( B + 88 ) = 1 tan ẞtan 88 = ― tan ẞ tan 86 tan 6+ ( 1 + tan2 ß ) B so that δβ = ( Ec Ea ) tan B 1 + tan2 B = ( ca ) sin ẞ cos B ( 11.7 : 3 ) This result , too , can be obtained simply and ...
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Common terms and phrases
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