Introduction to Mechanics of Deformable Solids |
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Page 137
... centroid of the transformed , or equivalent , areas EnAn , Σ EnAnyn n = Σ EnAn n ( 7.5 : 3 ) E ) , In the special but very important case of a homogeneous assemblage ( constant Өе - N = − = EArÿ ( 7.5 : 4 ) where Ar is the total cross ...
... centroid of the transformed , or equivalent , areas EnAn , Σ EnAnyn n = Σ EnAn n ( 7.5 : 3 ) E ) , In the special but very important case of a homogeneous assemblage ( constant Өе - N = − = EArÿ ( 7.5 : 4 ) where Ar is the total cross ...
Page 138
... centroid of the cross section , or of the transformed cross section if E is not constant . In general , however ... centroid must lie halfway between the centroid of bars 1 and 2 and the centroid of bars 3 and 4 . As the bending moment M ...
... centroid of the cross section , or of the transformed cross section if E is not constant . In general , however ... centroid must lie halfway between the centroid of bars 1 and 2 and the centroid of bars 3 and 4 . As the bending moment M ...
Page 365
Daniel Charles Drucker. Txe Shear center Centroid Shear center Centroid * FO V Fig . 14.21 Two examples showing large separation of shear center and centroid of cross section . Shear center of homogeneous thin angle section is ...
Daniel Charles Drucker. Txe Shear center Centroid Shear center Centroid * FO V Fig . 14.21 Two examples showing large separation of shear center and centroid of cross section . Shear center of homogeneous thin angle section is ...
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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