## Introduction to mechanics of deformable solids |

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Page viii

6.6 Statically Indeterminate Problems 106 7.1 Pure Bending of Plane

Assemblages of Bars in Tension and Compression 111 Linear-elastic behavior

114

idealization 117 ...

6.6 Statically Indeterminate Problems 106 7.1 Pure Bending of Plane

Assemblages of Bars in Tension and Compression 111 Linear-elastic behavior

114

**Elastic**—**perfectly plastic**idealization 115 Linear — work-hardeningidealization 117 ...

Page 115

M M — ^<T0Ah/2 Eh 2.4c0L Eh |— tfr« Fig. 7.S

assemblage of five equal bars (Fig. 7.2). AfY = i<?0Ah MS Mi = A M0 M0 = \a0Ah

When M is removed, the stresses, strains, forces, elongations, and rotations

return to zero, ...

M M — ^<T0Ah/2 Eh 2.4c0L Eh |— tfr« Fig. 7.S

**Elastic**-**perfectly plastic**assemblage of five equal bars (Fig. 7.2). AfY = i<?0Ah MS Mi = A M0 M0 = \a0Ah

When M is removed, the stresses, strains, forces, elongations, and rotations

return to zero, ...

Page 177

Limit pressure (

require simultaneous consideration of equilibrium, compatibility, and stress-

strain relations. Statically determinate problems (Sec. 6.2) are obvious examples

in ...

Limit pressure (

**elastic**-**perfectly plastic**material) However, not all problems dorequire simultaneous consideration of equilibrium, compatibility, and stress-

strain relations. Statically determinate problems (Sec. 6.2) are obvious examples

in ...

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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