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 q A Part B a 5 mm 200 mm Дв 300 mm b C Figure Q.1 d) the maximum normal stress in the cross-section of the beam. Enter the positive value of the stress. Enter your answer in MPa to two decimal places. Perform double integration of the bending moment equations. You will obtain deflections in this form: for 0≤x≤ a vEI = F(x) + C₁ x + C3 vEI = G(x) + C₂x + C4 for a ≤ x ≤a+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.

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 q A Part B a 5 mm 200 mm Дв 300 mm b C Figure Q.1 d) the maximum normal stress in the cross-section of the beam. Enter the positive value of the stress. Enter your answer in MPa to two decimal places. Perform double integration of the bending moment equations. You will obtain deflections in this form: for 0≤x≤ a vEI = F(x) + C₁ x + C3 vEI = G(x) + C₂x + C4 for a ≤ x ≤a+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.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.33P: The cantilever beam AB shown in the figure is an S6 × 12.5 steel I-beam with E = 30 × 106 psi. The...

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