A W 14 x 142 is used as a column having length of 9 m long. It is hinged at the upper end and fixed at the lower end but there is a lateral bracing perpendicular to the minor axis of the W section at the 5.4 m above the bottom support. It is assumed to be pinned connected at the bracing point. Using A36 steel, the yield strength is 248 MPa and the NSCP 2015 specifications, elastic modulus of steel is 200 GPa. Compute the slenderness ratio and the axial capacity of the column both for LRFD and ASD. Properties of W 14 x 142 A = 26,967.69 mm² d = 374.65 mm bf = 393.70 mm W 14x142 t₁ = 27.00 mm tv = 17.27 mm Ix = 695 x 106 mm4 Sx = 3,719.18 x 10³ mm³ [x = 160.53 mm ry = 100.84 mm ly = 274.71 x 106 mm4 S, 1,396.18 x 10³ mm³ lateral support (assume to be pinned connected) What is the Slenderness Ratio? KL/r Using LRFD, what is the ultimate load capacity of the column? Express your answer in KN Using ASD, what is the allowable load capacity of the column? Express your answer in KN 3.6 m 5.4 m 3

A W 14 x 142 is used as a column having length of 9 m long. It is hinged at the upper end and fixed at the lower end but there is a lateral bracing perpendicular to the minor axis of the W section at the 5.4 m above the bottom support. It is assumed to be pinned connected at the bracing point. Using A36 steel, the yield strength is 248 MPa and the NSCP 2015 specifications, elastic modulus of steel is 200 GPa. Compute the slenderness ratio and the axial capacity of the column both for LRFD and ASD. Properties of W 14 x 142 A = 26,967.69 mm² d = 374.65 mm bf = 393.70 mm W 14x142 t₁ = 27.00 mm tv = 17.27 mm Ix = 695 x 106 mm4 Sx = 3,719.18 x 10³ mm³ [x = 160.53 mm ry = 100.84 mm ly = 274.71 x 106 mm4 S, 1,396.18 x 10³ mm³ lateral support (assume to be pinned connected) What is the Slenderness Ratio? KL/r Using LRFD, what is the ultimate load capacity of the column? Express your answer in KN Using ASD, what is the allowable load capacity of the column? Express your answer in KN 3.6 m 5.4 m 3

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter5: Beams

Section: Chapter Questions

Problem 5.11.2P

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