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Question 1 (Soalan 11 An A-36 steel column has a length of 8 m and is pinned at both ends. The cross sectional area of the steel column has the dimensions as shown in Figure QI(a). Use E = 200(10) N/m and oy 250 MPa (a) Identify the weak axis and calculate the critical load. Check validity of Euler formula.

Question 1 (Soalan 11 An A-36 steel column has a length of 8 m and is pinned at both ends. The cross sectional area of the steel column has the dimensions as shown in Figure QI(a). Use E = 200(10) N/m and oy 250 MPa (a) Identify the weak axis and calculate the critical load. Check validity of Euler formula.

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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Factor of safety,F.S.=2.0
Question 1 (Soalan 1) An A-36 steel column has a length of 8 m and is pinned at both ends. The cross sectional area of the steel column has the dimensions as shown in Figure Ql(a). Use E = 200(10") N/m and oy = 250 MPa (a) Identify the weak axis and calculate the critical load. Check validity of Euler formula. (b) As an engineer, you are requested to design the column with bracing at its mid-height against the weak axis as shown in Figure Q1(b). By using similar cross section of column as shown in Figure Q1(a), analyses the maximum axial load P the column can support without causing it to buckle. Given the column is pinned at both ends. (c) During designing column with bracing at its mid-high column, you identified two vertical loads 18 kN and 48 kN pointing download imposed to the column as shown in Figure Q2(c). Investigate whether a cross section as shown in Figure Q1(a) can safely support the loading. Given the column is pinned at both ends. Use the allowable stress method (omax < Gallow). Use, omax = P/A + Mc/I 14mm 14mm 109mm 14mm 109mm -y Figure Q1(a): Cross section of column
Transcribed Image Text:Question 1 (Soalan 1) An A-36 steel column has a length of 8 m and is pinned at both ends. The cross sectional area of the steel column has the dimensions as shown in Figure Ql(a). Use E = 200(10") N/m and oy = 250 MPa (a) Identify the weak axis and calculate the critical load. Check validity of Euler formula. (b) As an engineer, you are requested to design the column with bracing at its mid-height against the weak axis as shown in Figure Q1(b). By using similar cross section of column as shown in Figure Q1(a), analyses the maximum axial load P the column can support without causing it to buckle. Given the column is pinned at both ends. (c) During designing column with bracing at its mid-high column, you identified two vertical loads 18 kN and 48 kN pointing download imposed to the column as shown in Figure Q2(c). Investigate whether a cross section as shown in Figure Q1(a) can safely support the loading. Given the column is pinned at both ends. Use the allowable stress method (omax < Gallow). Use, omax = P/A + Mc/I 14mm 14mm 109mm 14mm 109mm -y Figure Q1(a): Cross section of column
A 4m 4m B Figure Q1(b): Column AB with bracing 48kN 18KN 460mm A 4m с 4m Figure Q1(c): Column AB with bracing and two vertical loads P.
Transcribed Image Text:A 4m 4m B Figure Q1(b): Column AB with bracing 48kN 18KN 460mm A 4m с 4m Figure Q1(c): Column AB with bracing and two vertical loads P.
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