Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Question

 Calculate the value of the deflection at point C. Enter your answer in mm to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.

Perform double integration of the bending moment equations. You will obtain deflections in this form: VEI= F(x) + C₁x + C3 UEI = G(x) + C₂x + C4 for 0 ≤x≤a for a ≤x≤ a+b
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Transcribed Image Text:Perform double integration of the bending moment equations. You will obtain deflections in this form: VEI= F(x) + C₁x + C3 UEI = G(x) + C₂x + C4 for 0 ≤x≤a for a ≤x≤ a+b
A steel beam, of lengths a = 5 m and b = 5 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q = 0 kN/m to q= 5 kN/m for AB span; and is constant with q=5 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v 5 mm 200 mm 9 300 mm m b с X
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Transcribed Image Text:A steel beam, of lengths a = 5 m and b = 5 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q = 0 kN/m to q= 5 kN/m for AB span; and is constant with q=5 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v 5 mm 200 mm 9 300 mm m b с X
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Step 1: State the given data
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Step 2: Support reaction calculation and load modification
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Step 3: Slope and displacement expression
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Step 4: Moment of inertia calculation
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Step 5: Deflection at C
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Solution
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