Introduction to Mechanics of Deformable Solids |
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Page 170
... axes of geometric symmetry of the cross section . These four axes of geometric symmetry , located in the cross section which lies halfway between the ends , cannot warp out of their plane or distort in their plane . Therefore , if ...
... axes of geometric symmetry of the cross section . These four axes of geometric symmetry , located in the cross section which lies halfway between the ends , cannot warp out of their plane or distort in their plane . Therefore , if ...
Page 371
... axes y , z and y1 , 21 ; ( b ) principal axes 7 , 5 . A ( b ) - A. ( a ) Arbitrary where a and b are constants . The equation of the neutral axis y ' = 0 now is expressed as b = στ 0 = ay + bz or y 2 a ( 14.9 : 5 ) Ordinarily , the ...
... axes y , z and y1 , 21 ; ( b ) principal axes 7 , 5 . A ( b ) - A. ( a ) Arbitrary where a and b are constants . The equation of the neutral axis y ' = 0 now is expressed as b = στ 0 = ay + bz or y 2 a ( 14.9 : 5 ) Ordinarily , the ...
Page 372
... axes ʼn and † ( principal axes ) always can be found for which Int 0 , I , is the smallest of all moments of inertia , and I the largest for all centroidal axes in the cross section . The 7 axis is called the weak axis , and the axis is ...
... axes ʼn and † ( principal axes ) always can be found for which Int 0 , I , is the smallest of all moments of inertia , and I the largest for all centroidal axes in the cross section . The 7 axis is called the weak axis , and the axis is ...
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Common terms and phrases
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