Introduction to Mechanics of Deformable Solids |
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Page 348
... limit load F greatly exaggerated . ) v << L , v « a . ( a ) Initial elastic deflection and subsequent shape as deflection continues at limit load ; ( b ) plastic deforma- tion only , at limit load ; ( c ) load - deflection curve ...
... limit load F greatly exaggerated . ) v << L , v « a . ( a ) Initial elastic deflection and subsequent shape as deflection continues at limit load ; ( b ) plastic deforma- tion only , at limit load ; ( c ) load - deflection curve ...
Page 438
... limit curve ) Limit load ( see Plastic - limit load ) Limit moment ( see Plastic - limit moment ) Limit state , plastic , 141 Linear elastic idealization , 16 , 36 , 61 ( See also under Elastic ) Linear Maxwell idealization , 36 , 61 ...
... limit curve ) Limit load ( see Plastic - limit load ) Limit moment ( see Plastic - limit moment ) Limit state , plastic , 141 Linear elastic idealization , 16 , 36 , 61 ( See also under Elastic ) Linear Maxwell idealization , 36 , 61 ...
Page 440
... limit load ) Plastic deformation , 9 , 10 contained , 182 , 306 Plastic hinge location , 333 , 398 Plastic - limit curve , 306 , 307 , 311 Plastic - limit load , 92 beams , 348-352 non - uniform , 398 solid bar in tension - torsion ...
... limit load ) Plastic deformation , 9 , 10 contained , 182 , 306 Plastic hinge location , 333 , 398 Plastic - limit curve , 306 , 307 , 311 Plastic - limit load , 92 beams , 348-352 non - uniform , 398 solid bar in tension - torsion ...
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applied assemblage axes axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous idealization increase inelastic initial interior pressure isotropic J₂ Kelvin Kelvin material limit linear Maxwell linear-elastic linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic-limit principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates rotation shaft shear strain shear stress shell shown in Fig simple shear solution statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry T₁ T₂ temperature tensile tensile stress thick-walled time-dependent torque torsion uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ