## Introduction to mechanics of deformable solids |

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Page 348

(See Fig. 14.7) Plastic hinge M = M0 True hinge (c) (d) Fig. 14.14 Collapse at

plastic-

a) Initial elastic deflection and subsequent shape as deflection continues at

(See Fig. 14.7) Plastic hinge M = M0 True hinge (c) (d) Fig. 14.14 Collapse at

plastic-

**limit**load F = F0. (Note: Deflections v greatly exaggerated.) v « L, v <K a. (a) Initial elastic deflection and subsequent shape as deflection continues at

**limit**...Page 397

M'0' is the

forces and displav (15.5:10) quantities, the component of va12) in the direction of

Fll) equal»x of vB(1) in the direction of Fi2) when Fw = Fm in magnitude.

M'0' is the

**limit**f(l)(_^(2)) = iF(2)(_ys(l!) = vbO) for = F(2). More generally, becauseforces and displav (15.5:10) quantities, the component of va12) in the direction of

Fll) equal»x of vB(1) in the direction of Fi2) when Fw = Fm in magnitude.

Page 438

... 10, 11, 44, 429

load)

elastic idealization, 16, 36, 61 (See also under Elastic) Linear Maxwell

idealization, ...

... 10, 11, 44, 429

**Limit**curve (see Plastic-**limit**curve)**Limit**load (see Plastic-**limit**load)

**Limit**moment (see Plastic-**limit**moment)**Limit**state, plastic, 141 Linearelastic idealization, 16, 36, 61 (See also under Elastic) Linear Maxwell

idealization, ...

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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