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(1) Check whether the Euler's equation is appropriate or not. (ii) Determine the maximum distributed load (W) that can be applied to the beam so that the column of AB does not buckle.

(1) Check whether the Euler's equation is appropriate or not. (ii) Determine the maximum distributed load (W) that can be applied to the beam so that the column of AB does not buckle.

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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W 40 mm B 4 m Column Section FIGURE Q4 (a) d = 40 mm Solid circular cross section di d; Hollow circular cross section FIGURE Q4 (b)
Transcribed Image Text:W 40 mm B 4 m Column Section FIGURE Q4 (a) d = 40 mm Solid circular cross section di d; Hollow circular cross section FIGURE Q4 (b)
(b) Figure Q4(a) shows a steel beam with length of 4 m that is supported by a steel column at point B. The steel column of AB has a rectangular cross section (40 mm× 70 mm). The ends are assumed to be pin connected. The yield stress of steel is o y = 250 MPa. The Modulus Elasticity of the steel is 200 GPa. Use factor of safety of 1.5. (i) Check whether the Euler's equation is appropriate or not. (ii) Determine the maximum distributed load (W) that can be applied to the beam so that the column of AB does not buckle. A solid circular column with 40 mm diameter is to be replaced by a hollow circular section of the same material. The cross sections of solid and hollow circular are shown in Figure Q4(b). Find the size of the hollow section if the internal diameter is 0.5 times the external diameter. (c)
Transcribed Image Text:(b) Figure Q4(a) shows a steel beam with length of 4 m that is supported by a steel column at point B. The steel column of AB has a rectangular cross section (40 mm× 70 mm). The ends are assumed to be pin connected. The yield stress of steel is o y = 250 MPa. The Modulus Elasticity of the steel is 200 GPa. Use factor of safety of 1.5. (i) Check whether the Euler's equation is appropriate or not. (ii) Determine the maximum distributed load (W) that can be applied to the beam so that the column of AB does not buckle. A solid circular column with 40 mm diameter is to be replaced by a hollow circular section of the same material. The cross sections of solid and hollow circular are shown in Figure Q4(b). Find the size of the hollow section if the internal diameter is 0.5 times the external diameter. (c)
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