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 andheight 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 theintensity that linearly varies from q = 0 kN/m to q=4.4 kN/m for AB span; and is constant with q= 4.4 kN/m for BC span. The Young's modulus of steel is 200 GPa.y, vAa9miumДв5 mm200 mmFigure Q.1300 mmbC Part BPerform double integrationVEI = F(x) + C₁x + C3UEI = G(x) + C₂x + C4Calculate:of the bending moment equations. You will obtain deflections in this form:for 0≤x≤afor a ≤ x ≤a+be) 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 directionv axis.

Answered: Image /qna-images/answer/3275a029-0896-4d1a-a535-c4335d72d44f.jpg

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=4.4 kN/m for AB span; and is constant with q= 4.4 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v A a 9 mium ÅB C b 5 mm 200 mm Figure Q.1 300 mm X

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=4.4 kN/m for AB span; and is constant with q= 4.4 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v A a 9 mium ÅB C b 5 mm 200 mm Figure Q.1 300 mm X

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.4P: Segments A B and BCD of beam A BCD are pin connected at x = 4 m. The beam is supported by a sliding...

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