## Introduction to mechanics of deformable solids |

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Page 194

9.12 outward by a total force F. F = paira2 + pw(b2 - a2) [ , , a3(62 - a2) |_ a3 + o'

Pi + P» 2v (9.3:17) Therefore a compressive

required to prevent relative axial motion w of the end plates of Fig. 9.11. If the

constraint ...

9.12 outward by a total force F. F = paira2 + pw(b2 - a2) [ , , a3(62 - a2) |_ a3 + o'

Pi + P» 2v (9.3:17) Therefore a compressive

**axial force**of F — (Pi + P2) isrequired to prevent relative axial motion w of the end plates of Fig. 9.11. If the

constraint ...

Page 403

Nevertheless small deflections may be significant geometry changes when

appreciable

beam column of Fig. 16.2. A tensile force R tends to pull the beam back to its

straight ...

Nevertheless small deflections may be significant geometry changes when

appreciable

**axial force**accompanies the bending, as in the cantilever beam tie orbeam column of Fig. 16.2. A tensile force R tends to pull the beam back to its

straight ...

Page 404

16.2 Small deflection,

compressive force P destabilizes. Neither causes bending moment in the

undeformed configuration. (b) Undeformed configuration; (c) deformed

configuration. column ...

16.2 Small deflection,

**axial force**plus bending. Tensile force R stabilizes;compressive force P destabilizes. Neither causes bending moment in the

undeformed configuration. (b) Undeformed configuration; (c) deformed

configuration. column ...

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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