## Introduction to mechanics of deformable solids |

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Page 226

11.9

stress. Its center is on the a„ axis at (o-a + <rc)/2 to the right of the origin; its radius

R is (aa — ac)/2, the coefficient of cos 20 and sin 2/3 in Eqs. (11.2:8, 9). Implicit in

...

11.9

**Mohr's circles**<r, > <rc. Fig. 11.10**Mohr's circles**aa < ac.**Mohr's circle**forstress. Its center is on the a„ axis at (o-a + <rc)/2 to the right of the origin; its radius

R is (aa — ac)/2, the coefficient of cos 20 and sin 2/3 in Eqs. (11.2:8, 9). Implicit in

...

Page 252

But for

positive. (c) For

transverse motion divided by the original or final length L, 5/3 = ec y cos 0 — ea j

sin /3 ...

But for

**Mohr's circle**: r*, is negative, ryz is positive, yxy is negative, and yyx ispositive. (c) For

**Mohr's circle**yn, is negative, y,n is positive. Angular change istransverse motion divided by the original or final length L, 5/3 = ec y cos 0 — ea j

sin /3 ...

Page 253

11.276, yxy is negative, 7„i is positive for

subscript notation for

= - t (1L7:8) where the sense of rotation is counterclockwise from the axis of the

first ...

11.276, yxy is negative, 7„i is positive for

**Mohr's**-**circle**plots. In the double-subscript notation for

**Mohr's circle**, Eq. (11.7:7) must be written ¥ = + !5LiP sin 20= - t (1L7:8) where the sense of rotation is counterclockwise from the axis of the

first ...

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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