## Introduction to mechanics of deformable solids |

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Page 79

Equating summation of forces to zero gives the axial stress <Ta and the

and the wall thickness tw. The symbol r represents equally well the inside radius r

„ or the ...

Equating summation of forces to zero gives the axial stress <Ta and the

**circumferential**stress ac in terms of the uniform interior pressure p, the radius r,and the wall thickness tw. The symbol r represents equally well the inside radius r

„ or the ...

Page 80

The picture for the j

first glance be mistaken for the uniaxial tension curve. The yield stress or yield

strength will be nearly the same, and the slope in the elastic range as well as the

...

The picture for the j

**circumferential**quantities has a familiar shape and might atfirst glance be mistaken for the uniaxial tension curve. The yield stress or yield

strength will be nearly the same, and the slope in the elastic range as well as the

...

Page 179

9.4

paL _ 0 81ff0. (fo) pai „ 2 20ff0 ffr+Afr (a) (b) Fig. 9.5 Stress components <rr, <r«-

Displacement u. (c) metric that you can analyze it fully as a straightforward ...

9.4

**Circumferential**stress at at the limit pressure paL (pb = 0). (a) pai = 2.20(r0paL _ 0 81ff0. (fo) pai „ 2 20ff0 ffr+Afr (a) (b) Fig. 9.5 Stress components <rr, <r«-

Displacement u. (c) metric that you can analyze it fully as a straightforward ...

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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