Introduction to Mechanics of Deformable Solids |
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Page 126
... actual stress and strain are in essence the same . definitions En = and δη L Pn onAn = ( 7.3 : 6 ) ( 7.3 : 7 ) along with the corresponding steps in the derivations must be repeated over and over again in bar problems when actual stress ...
... actual stress and strain are in essence the same . definitions En = and δη L Pn onAn = ( 7.3 : 6 ) ( 7.3 : 7 ) along with the corresponding steps in the derivations must be repeated over and over again in bar problems when actual stress ...
Page 377
... actual , or real , state ( which satisfies both equilibrium and compatibility ) appear either in the equilibrium set ... actual state are substituted in the equation of virtual work , the prime will be omitted ; when the displacements or ...
... actual , or real , state ( which satisfies both equilibrium and compatibility ) appear either in the equilibrium set ... actual state are substituted in the equation of virtual work , the prime will be omitted ; when the displacements or ...
Page 384
... ( Actual ) compatible set ( no forces applied ) ; ( b ) equilibrium set to find uc . The actual horizontal displacement uc of C is to be found . Therefore the actual displacements and strains ( elongations 8 ) are taken as the compatible ...
... ( Actual ) compatible set ( no forces applied ) ; ( b ) equilibrium set to find uc . The actual horizontal displacement uc of C is to be found . Therefore the actual displacements and strains ( elongations 8 ) are taken as the compatible ...
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aluminum applied assemblage axial force beam behavior change in length circle circumferential column components of stress computed constant cross section cylinder dashpot deflection diameter dimensions direction displacement elastic elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous HR steel idealization increase inelastic initial interior pressure isotropic Kelvin material linear Maxwell linear-elastic linear-viscous load M₂ maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic deformation plastic-limit Prob problem pure bending radial radius ratio residual stress rotation shaft shear strain shear stress shell shown in Fig simple shear simple tension solution statically statically indeterminate stress and strain stress-strain curve stress-strain relations structural Suppose surface symmetry t₁ temperature tensile stress thick-walled thickness time-dependent torsion uniaxial uniform unloading versus viscous yield point yield stress Young's modulus zero ΕΙ σα σο στ