## Introduction to mechanics of deformable solids |

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Page 5

The moment about the axis of the bar Mx = T is called a twisting moment, or

moments. Bars are found as elements of so many different structures and

machines, that they ...

The moment about the axis of the bar Mx = T is called a twisting moment, or

**torque**; the two other components of moment My, Mz are termed bendingmoments. Bars are found as elements of so many different structures and

machines, that they ...

Page 165

When the shear stress becomes a uniform r0, v > <c0, no additional

be carried. The plastic-limit, or collapse, twisting moment T0 is given by T0 =

T0fArdA = 2tt0 f ' r*dr = ^ (r„3 - rfy. For a solid shaft of diameter d TT 12 as

compared ...

When the shear stress becomes a uniform r0, v > <c0, no additional

**torque**canbe carried. The plastic-limit, or collapse, twisting moment T0 is given by T0 =

T0fArdA = 2tt0 f ' r*dr = ^ (r„3 - rfy. For a solid shaft of diameter d TT 12 as

compared ...

Page 173

B. Determine a mathematical expression for the variation of

8.5 Assume a linear-work-hardening idealization for a structural aluminum alloy,

with (?tan in the plastic range = G/20, 6 = 4,000,000 psi. The yield point tY is ...

B. Determine a mathematical expression for the variation of

**torque**T with time.8.5 Assume a linear-work-hardening idealization for a structural aluminum alloy,

with (?tan in the plastic range = G/20, 6 = 4,000,000 psi. The yield point tY is ...

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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