## Introduction to mechanics of deformable solids |

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Page 228

The line joining points 1 and 3 is a diameter of the

components of stress acting on any plane perpendicular to the plane of the paper

. Two points are sufficient to determine the circle, because its center must lie on

the <ra ...

The line joining points 1 and 3 is a diameter of the

**Mohr's circle**for thecomponents of stress acting on any plane perpendicular to the plane of the paper

. Two points are sufficient to determine the circle, because its center must lie on

the <ra ...

Page 252

But for

positive. (c) For

transverse motion divided by the original or final length L, 50 = ec jf cos 0 — Ğa ^

sin 0 ...

But for

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

**Mohr's circle**yni is negative, y,a is positive. Angular change istransverse motion divided by the original or final length L, 50 = ec jf cos 0 — Ğa ^

sin 0 ...

Page 255

Principal values obtained from

dimensions. As for stress, see Fig. 11.16, they would be designated Ği, e2 or *2,

e3 or e1, e3 when the third principal strain e, is algebraically the least or the

greatest or ...

Principal values obtained from

**Mohr's circle**are principal strains in threedimensions. As for stress, see Fig. 11.16, they would be designated Ği, e2 or *2,

e3 or e1, e3 when the third principal strain e, is algebraically the least or the

greatest or ...

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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