## Introduction to mechanics of deformable solids |

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Page 55

It requires only that the

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 ...

It requires only that the

**outer**circle, the inner circle, and all concentric circlesbetween 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 160

7 = T<p/L, and the equilibrium relation t = T/rA, Gn(Anrn2) The inner tube,

subscript n = 1, and the

modulus G or area of cross section A. The condition of deformation - = <p2' = v«

Gi^iV ...

7 = T<p/L, and the equilibrium relation t = T/rA, Gn(Anrn2) The inner tube,

subscript n = 1, and the

**outer**tube, subscript n = 2, need not have the same shearmodulus G or area of cross section A. The condition of deformation - = <p2' = v«

Gi^iV ...

Page 306

The approach OYL to the limit curve is drawn for constant 6 dip/dS = 2 (path for

inner tube 1 is OYiL\\ path for

radial motion. Incompressibility, v = ^, would simplify the picture to the extent that

L* ...

The approach OYL to the limit curve is drawn for constant 6 dip/dS = 2 (path for

inner tube 1 is OYiL\\ path for

**outer**tube 2, which yields first, is OWLi). RorNradial motion. Incompressibility, v = ^, would simplify the picture to the extent that

L* ...

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applied assemblage axial force beam behavior centroid circumferential column compatibility components of stress conditions of deformation constant creep cross section cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch fully plastic homogeneous idealization increase inelastic initial interior pressure isotropic Kelvin Kelvin material limit linear Maxwell linear-elastic response linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear nonlinear-viscous normal stress outer perfectly plastic perpendicular plane plastic deformation plastic-limit Poisson's ratio principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates rotation shaft shear strain shear stress shell simple shear solution statically statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled sphere thickness time-dependent torque torsion uniform unloading versus viscous yield curve yield stress zero