## Introduction to mechanics of deformable solids |

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6.6 Statically Indeterminate Problems 106 chapter 7 Beams in pure bending 111

115 117 122 7.1 Pure Bending of Plane Assemblages of Bars in Tension and

Compression 111 Linear-elastic behavior 114

6.6 Statically Indeterminate Problems 106 chapter 7 Beams in pure bending 111

115 117 122 7.1 Pure Bending of Plane Assemblages of Bars in Tension and

Compression 111 Linear-elastic behavior 114

**Elastic**—**perfectly plastic**...Page 102

{702^2 Elastic solution The answer can be obtained instead in a straightforward

manner from the start by solving the ...

idealized as

the ...

{702^2 Elastic solution The answer can be obtained instead in a straightforward

manner from the start by solving the ...

**Elastic**-**perfectly plastic**If each tube isidealized as

**elastic**-**perfectly plastic**, with yield stress a « and <r0i respectively,the ...

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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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