## Introduction to mechanics of deformable solids |

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Page 194

outward by a total force F. F = para2 + pr{b2 - a2) [ , , a3(b* - a1) 1 = * a. + b. P- 27

~ (9-3 ,17) Therefore a compressive

prevent relative axial motion w of the end plates of Fig. 9.11. If the constraint w =

0 ...

outward by a total force F. F = para2 + pr{b2 - a2) [ , , a3(b* - a1) 1 = * a. + b. P- 27

~ (9-3 ,17) Therefore a compressive

**axial force**of F — (Pi + P2) is required toprevent relative axial motion w of the end plates of Fig. 9.11. If the constraint w =

0 ...

Page 210

10.4 / YIELD CURVES AND SURFACES (IN STRESS SPACE) Suppose now that

a number of closed-end thin-walled circular tubes of a particular structural metal

are tested under various combinations of

10.4 / YIELD CURVES AND SURFACES (IN STRESS SPACE) Suppose now that

a number of closed-end thin-walled circular tubes of a particular structural metal

are tested under various combinations of

**axial force**R, interior pressure p, and ...Page 211

When combinations of twisting moment and

ratio with p = 0, the shear stress t (due to the torque T) and the axial stress <ra (

due to the

...

When combinations of twisting moment and

**axial force**are applied in constantratio with p = 0, the shear stress t (due to the torque T) and the axial stress <ra (

due to the

**axial force**N = R) (Fig. 10.5) are natural choices for coordinates of the...

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angle applied assemblage axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cross section cylinder dashpot deflection diameter direction displacement elastic-perfectly plastic elongation equation of virtual equations of equilibrium factor of safety free-body sketch 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 principal stresses Prob problem pure bending radial radius ratio rotation shaft shear center shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel strain rate stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled thickness time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress zero