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Q3. The W250 × 45 A-36 steel column is pinned at its top and fixed at its base. Also, the column is braced along its weak axis at mid height. If P= 250 kN, investigate whether the column is adequate to support this loading. Use F.S. = 2.0 against buckling and F.S. 1.5 against yielding. Assume rx = 112 mm, A = 5700 mm², Ix = 71.1 × 10° mm4, Iy = %3D 7.03 × 10° mm*, cx = 113 mm and yield stress capacity is 250 MPa. (Ans: max. Pallow= 299.7 kN) P 4 250 mm 250 mm 4 m 4 m

Q3. The W250 × 45 A-36 steel column is pinned at its top and fixed at its base. Also, the column is braced along its weak axis at mid height. If P= 250 kN, investigate whether the column is adequate to support this loading. Use F.S. = 2.0 against buckling and F.S. 1.5 against yielding. Assume rx = 112 mm, A = 5700 mm², Ix = 71.1 × 10° mm4, Iy = %3D 7.03 × 10° mm*, cx = 113 mm and yield stress capacity is 250 MPa. (Ans: max. Pallow= 299.7 kN) P 4 250 mm 250 mm 4 m 4 m

Structural Analysis
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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Q3. The W250 × 45 A-36 steel column is pinned at its top and fixed at its base. Also, the column is braced along its weak axis at mid height. If P = 250 kN, investigate whether the column is adequate to support this loading. Use F.S. = 2.0 against buckling and F.S. = 1.5 against yielding. Assume rx = 112 mm, A = 5700 mm?, Ix = 71.1 × 106 mm4, Iy 7.03 x 106 mm“, cx = 113 mm and yield stress capacity is 250 MPa. (Ans: max. Pallow= 299.7 kN) P 4 250 mm 250 mm I8 4 m 4 m Figure Q3
Transcribed Image Text:Q3. The W250 × 45 A-36 steel column is pinned at its top and fixed at its base. Also, the column is braced along its weak axis at mid height. If P = 250 kN, investigate whether the column is adequate to support this loading. Use F.S. = 2.0 against buckling and F.S. = 1.5 against yielding. Assume rx = 112 mm, A = 5700 mm?, Ix = 71.1 × 106 mm4, Iy 7.03 x 106 mm“, cx = 113 mm and yield stress capacity is 250 MPa. (Ans: max. Pallow= 299.7 kN) P 4 250 mm 250 mm I8 4 m 4 m Figure Q3
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