## Introduction to mechanics of deformable solids |

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Page 303

For twisting moment T alone, the plastic-

20 percent higher than TY for our choice of dimensions. Upon loading to T0 in ...

For twisting moment T alone, the plastic-

**limit**load T0 is the sum of the individual**limit**torques; T0 = 7\>i + T0i = t0AiO + t0Aj6 = %r0A2b = (-\/3/2) a0AJb, which is20 percent higher than TY for our choice of dimensions. Upon loading to T0 in ...

Page 305

The

+ aalA2 (13.4:10) T = T +T = VlAl +r*A* (13.4:11) A geometric construction which

is entirely equivalent to the algebraic forms (13.4:9, 10, 11) is sketched in Fig.

The

**limit**curve R* versus T*/b is found in parametric form as R* = N\ + N* = °a\A\+ aalA2 (13.4:10) T = T +T = VlAl +r*A* (13.4:11) A geometric construction which

is entirely equivalent to the algebraic forms (13.4:9, 10, 11) is sketched in Fig.

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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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