Introduction to Mechanics of Deformable Solids |
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Page 55
... outer circle , the inner circle , and all concentric circles between the two remain concentric circles at all times . Absolute angular rotation is not the significant quantity in the twisting of a tube . This is obvious when the tube is ...
... outer circle , the inner circle , and all concentric circles between the two remain concentric circles at all times . Absolute angular rotation is not the significant quantity in the twisting of a tube . This is obvious when the tube is ...
Page 57
... outer surface is this constant angle of tilt , the change in angle from the original 90 ° between the direction of the generator and any one of the outer circles . Therefore , as illustrated in Fig . 4.9 , tan y is given by the angle of ...
... outer surface is this constant angle of tilt , the change in angle from the original 90 ° between the direction of the generator and any one of the outer circles . Therefore , as illustrated in Fig . 4.9 , tan y is given by the angle of ...
Page 160
... outer tube is strained more in shear than the inner ( both start from a state of zero stress and strain ) ( Fig . 8.2 ) . For tubes of the same time - independent material , the outer tube will be stressed more and will be the first to ...
... outer tube is strained more in shear than the inner ( both start from a state of zero stress and strain ) ( Fig . 8.2 ) . For tubes of the same time - independent material , the outer tube will be stressed more and will be the first to ...
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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