## 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

Compression 111 Linear-elastic behavior 114 Elastic — perfectly plastic ...

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 andCompression 111 Linear-elastic behavior 114 Elastic — perfectly plastic ...

Page 122

V/ Four-element model and mixed models Figure 7.11 shows creep and recovery

in a four-element model

model with linear Maxwell bars on the outside and linear-elastic bars on the ...

V/ Four-element model and mixed models Figure 7.11 shows creep and recovery

in a four-element model

**assemblage**, Figs. 7.12 and 7.13 the behavior of a mixedmodel with linear Maxwell bars on the outside and linear-elastic bars on the ...

Page 144

These circular arcs are quite different in appearance from the straight bars of the

fibers of the beam and the strain e, or change in length per unit of length, vary ...

These circular arcs are quite different in appearance from the straight bars of the

**assemblages**we have been considering. However, the change in length 5 of thefibers of the beam and the strain e, or change in length per unit of length, vary ...

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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