A W14x61, A992 steel, 6.5 m long fixed at both ends, is to be investigated for use as a column in a braced frame. The axial load and end moments obtained from analysis of gravity loads and wind load are given below. All bending moments are about the strong axis with single curvature forming along the column. Use ASD and conservative value of Cb. Neglect local buckling for compression. Consider secondary effects. Calculate the interaction ratio. Properties of W14x61 A - 11500 mm² bf = 254 mm d = 353 mm tf = 16.4 mm tw = 9.53 mm ry = 62.2 mm k₁ = 25.4 mm Zx 1670 x 10³ mm³ Sx 1510 x 10³ mm³ ■

A W14x61, A992 steel, 6.5 m long fixed at both ends, is to be investigated for use as a column in a braced frame. The axial load and end moments obtained from analysis of gravity loads and wind load are given below. All bending moments are about the strong axis with single curvature forming along the column. Use ASD and conservative value of Cb. Neglect local buckling for compression. Consider secondary effects. Calculate the interaction ratio. Properties of W14x61 A - 11500 mm² bf = 254 mm d = 353 mm tf = 16.4 mm tw = 9.53 mm ry = 62.2 mm k₁ = 25.4 mm Zx 1670 x 10³ mm³ Sx 1510 x 10³ mm³ ■

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A W14x61, A992 steel, 6.5 m long fixed at both ends, is to be investigated for use as a column in a
braced frame. The axial load and end moments obtained from analysis of gravity loads and wind
load are given below. All bending moments are about the strong axis with single curvature forming
along the column. Use ASD and conservative value of Cb. Neglect local buckling for compression.
Consider secondary effects. Calculate the interaction ratio.
Properties of W14x61
A = 11500 mm²
bf = 254 mm
d = 353 mm
tf = 16.4 mm
tw = 9.53 mm
ry = 62.2 mm
k₁ = 25.4 mm
Zx = 1670 x 10³ mm³
Sx = 1510 x 10³ mm³
J = 912 x 10³ mm³
Axial Load: PDL =178 KN, PLL = 278 KN
Top Moments: MDL = 20 kN-m, MLL = 28 kN-m, MWL = 14 kN-m
Bottom Moments: MDL = 20 kN-m, MLL = 30 kN-m, MWL = 15 kN-m

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Step 1: Introducing Given Data

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Step 2: Calculation of M1 & M2

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Step 3: AISC table 6.2 for W14x61

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Step 4: Calculation of Allowable strength

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Step 5: Calculation of modification factor (Cm)

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Step 6: Calculation of interaction factor

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