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A steel beam, of lengths a = 4 m and b=4 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 = 4.2 kN/m for AB span; and is constant with q=4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v 9 www.m a B b

A steel beam, of lengths a = 4 m and b=4 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 = 4.2 kN/m for AB span; and is constant with q=4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v 9 www.m a B b

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please do not expand the moment equation in the segment BC. Keep the (L-x)^2 term, do not expad this. please help me answer E, F and G

A steel beam, of lengths a= 4 m and b=4 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 = 4.2 kN/m for AB span; and is constant with q=4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v Part B VEI = VEI: = a F(x) + C₁ x + C3 = G(x) + C₂x + C4 9 mum B 5 mm 200 mm Figure Q.1 Perform double integration of the bending moment equations. You will obtain deflections in this form: 300 mm for 0 ≤ x ≤ a for a ≤ x ≤a+b b Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. f) the value of the integration constant C4. Enter your answer in kNm² to three decimal places. g) 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.
Transcribed Image Text:A steel beam, of lengths a= 4 m and b=4 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 = 4.2 kN/m for AB span; and is constant with q=4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v Part B VEI = VEI: = a F(x) + C₁ x + C3 = G(x) + C₂x + C4 9 mum B 5 mm 200 mm Figure Q.1 Perform double integration of the bending moment equations. You will obtain deflections in this form: 300 mm for 0 ≤ x ≤ a for a ≤ x ≤a+b b Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. f) the value of the integration constant C4. Enter your answer in kNm² to three decimal places. g) 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.
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