Introduction to Mechanics of Deformable Solids |
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Page 152
... beam A 11 in.2 ) = 7.8 / PROBLEMS OF ACTUAL BEAMS IN PURE BENDING OR ENFORCED ROTATION 7.20 Consider a beam of uniform cross section which is symmetric about the xy plane but not the xz plane . A pure bending moment M is applied in the ...
... beam A 11 in.2 ) = 7.8 / PROBLEMS OF ACTUAL BEAMS IN PURE BENDING OR ENFORCED ROTATION 7.20 Consider a beam of uniform cross section which is symmetric about the xy plane but not the xz plane . A pure bending moment M is applied in the ...
Page 154
... beam is essentially fully plastic ( σo everywhere except the imme- diate vicinity of the neutral axis ) , find : 1. M20 2. Myo 7.28 The I beam described in Prob . 7.22 is forced to bend about an axis z parallel to the flange at the ...
... beam is essentially fully plastic ( σo everywhere except the imme- diate vicinity of the neutral axis ) , find : 1. M20 2. Myo 7.28 The I beam described in Prob . 7.22 is forced to bend about an axis z parallel to the flange at the ...
Page 434
... Beam loading ( see Load , on beam ) Beam simulation by assemblage , 135 , 144 , 151 , 152 Beam support , 333 , 335 Beam tie , 407 Bending , 5 , 330-352 analogy with torsion , 159 of assemblages , 111-143 four - element , 121 , 122 ...
... Beam loading ( see Load , on beam ) Beam simulation by assemblage , 135 , 144 , 151 , 152 Beam support , 333 , 335 Beam tie , 407 Bending , 5 , 330-352 analogy with torsion , 159 of assemblages , 111-143 four - element , 121 , 122 ...
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angle applied assemblage axes axial force beam behavior buckling cantilever centroid circular circumferential column compatibility components of stress compression constant creep cross section cylinder deflection diameter direction displacement elastic elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous idealization inelastic initial interior pressure isotropic J₂ Kelvin Kelvin material limit linear Maxwell linear-elastic linear-viscoelastic linear-viscous load M₂ material maximum Maxwell material modulus Mohr's circle neutral axis nonlinear nonlinear-viscous normal stress P₁ P₂ perfectly plastic perpendicular plane plastic-limit principal stresses Prob problem radial radius ratio rotation shaft shear center 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 temperature tensile stress thick-walled time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ