## Introduction to mechanics of deformable solids |

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Page 97

are two independent

, andP9. Additional

additional information. For the parallel three-bar or three-wire system (Fig. 6.3e) ...

are two independent

**equations of equilibrium**relating the three unknowns P7, P8, andP9. Additional

**equations of equilibrium**such as P8 + P9 = Fd provide noadditional information. For the parallel three-bar or three-wire system (Fig. 6.3e) ...

Page 99

Two independent

corresponding equations relating dv/dt and du/dt to the time rates of elongation

dS/dt), with 5 or dS/dt put in terms of P, give five equations in five unknowns: Pn, ...

Two independent

**equations of equilibrium**plus the three equations above (or thecorresponding equations relating dv/dt and du/dt to the time rates of elongation

dS/dt), with 5 or dS/dt put in terms of P, give five equations in five unknowns: Pn, ...

Page 202

Suppose that a particular set of values e', de' /dt, a', da' /dt, M', dM' /dt, . . . satisfies

equilibrium, compatibility, and the ... Recall that the full linearity (on which

superposition depends) is based in part on writing the

...

Suppose that a particular set of values e', de' /dt, a', da' /dt, M', dM' /dt, . . . satisfies

equilibrium, compatibility, and the ... Recall that the full linearity (on which

superposition depends) is based in part on writing the

**equations of equilibrium**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