A W12x50 is used as a column to support an axial compressive load of 145kips. The length is 20feet, and the ends are pinned. Without regard to load or resistance factor, investigate this for stability. (The grade of steel need not be known: the critical buckling load is a function of the modulus of elasticity, not the yield stress or ultimate tensile stress). PROPERTIES OF W12X50: Ag = 14.6in^2, rx = 5.18in, ry = 1.96in, bf/2tf = 6.31, h/tw = 28.1, d = 12.2in, Ix = 391in^4, ly = 56.3in

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Chapter5: Beams
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Problem 5.10.6P
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A W12x50 is used as a column to support an axial compressive load
of 145kips. The length is 20feet, and the ends are pinned. Without
regard to load or resistance factor, investigate this for stability. (The
grade of steel need not be known: the critical buckling load is a
function of the modulus of elasticity, not the yield stress or ultimate
tensile stress). PROPERTIES OF w12X50: Ag = 14.6in^2, rx = 5.18in,
ry = 1.96in, bf/2tf = 6.31, h/tw = 28.1, d = 12.2in, Ix = 391in^4, ly =
56.3in
Transcribed Image Text:A W12x50 is used as a column to support an axial compressive load of 145kips. The length is 20feet, and the ends are pinned. Without regard to load or resistance factor, investigate this for stability. (The grade of steel need not be known: the critical buckling load is a function of the modulus of elasticity, not the yield stress or ultimate tensile stress). PROPERTIES OF w12X50: Ag = 14.6in^2, rx = 5.18in, ry = 1.96in, bf/2tf = 6.31, h/tw = 28.1, d = 12.2in, Ix = 391in^4, ly = 56.3in
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