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3 31 A steel beam, of lengths a=5 m and b=3 m and a hollow box cross section, is supported 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 5 mm. The beam is under a distributed load of the intensity that linearly varies from q=0 kN/m to q=3 kN/m for AB span; and is constant with q=3 kN/m for BC span. The Young's modulus of steel is 200 GPa. YA a 5 mm 200 mm Figure Q.1 9 ÅB 300 mm b C

3 31 A steel beam, of lengths a=5 m and b=3 m and a hollow box cross section, is supported 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 5 mm. The beam is under a distributed load of the intensity that linearly varies from q=0 kN/m to q=3 kN/m for AB span; and is constant with q=3 kN/m for BC span. The Young's modulus of steel is 200 GPa. YA a 5 mm 200 mm Figure Q.1 9 ÅB 300 mm b C

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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31 A steel beam, of lengths a=5 m and b=3 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=3 kN/m for AB span; and is constant with q=3 kN/m for BC span. The Young's modulus of steel is 200 GPa. YA a 5 mm 200 mm Figure Q.1 9 AB 300 mm b C
Transcribed Image Text:31 A steel beam, of lengths a=5 m and b=3 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=3 kN/m for AB span; and is constant with q=3 kN/m for BC span. The Young's modulus of steel is 200 GPa. YA a 5 mm 200 mm Figure Q.1 9 AB 300 mm b C
Perform double integration of the bending moment equations. You will obtain deflections in this form: VEI= F(x) + C₁+Cs for 0 ≤asa VEI= G(z) + C₂z+C₁ for a ≤ a ≤a+b Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. Answer: Check Show Transcribed Text f) the value of the integration constant C₁. Enter your answer in kNm² to three decimal places. Answer: Check
Transcribed Image Text:Perform double integration of the bending moment equations. You will obtain deflections in this form: VEI= F(x) + C₁+Cs for 0 ≤asa VEI= G(z) + C₂z+C₁ for a ≤ a ≤a+b Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. Answer: Check Show Transcribed Text f) the value of the integration constant C₁. Enter your answer in kNm² to three decimal places. Answer: Check
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