## Introduction to mechanics of deformable solids |

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Page 83

Therefore, to moderate strains, the plots are the same as t

the twisted tube. Doubling of the stress scale gives the equivalence of ac

ecp and 2t

Therefore, to moderate strains, the plots are the same as t

**versus**or %(dy"/dt) forthe twisted tube. Doubling of the stress scale gives the equivalence of ac

**versus**ecp and 2t

**versus**Łyp. This "exact" result is related to but is not the same as the ...Page 108

Draw careful sketches, labeling all slopes and critical values, for the force in each

bar

displacement of its point of application B. Bar 1 Bar 2 Bar 3 E,psi Yield stress a0,

psi ...

Draw careful sketches, labeling all slopes and critical values, for the force in each

bar

**versus**FB. Also draw a careful sketch for FB**versus**the downwarddisplacement of its point of application B. Bar 1 Bar 2 Bar 3 E,psi Yield stress a0,

psi ...

Page 122

Plot M, Mi, and M 2

explicitly. 2. Plot Pi and P2

unloading- B. For the loading and unloading of an elastic-linear work-hardening

...

Plot M, Mi, and M 2

**versus**0 as in Fig. 7.5, and find M r, M0, Mf, M2r, 6r, 00, 6r°explicitly. 2. Plot Pi and P2

**versus**M for the complete cycle of loading andunloading- B. For the loading and unloading of an elastic-linear work-hardening

...

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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