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. Ay, v 9 a 5 mm 300 mm B b C 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
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.8.1P: A simple beam with a W 10 x 30 wide-flange cross section supports a uniform load of intensity q =...
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b) the vertical support reaction in support B. Enter your answer in kN to two decimal places.
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Transcribed Image Text:b) the vertical support reaction in support B. Enter your answer in kN to two decimal places. Answer:
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.
Ay, v
9
Part A
a
5 mm
200 mm
Figure Q.1
300 mm
B
b
C
X
Calculate:
a) the vertical support reaction in support A. When sketching FBD, set the positive directions of both reactions in the
positive direction of yaxis. Enter your answer in kN to three decimal places.
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=4.4 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. Ay, v 9 Part A a 5 mm 200 mm Figure Q.1 300 mm B b C X Calculate: a) the vertical support reaction in support A. When sketching FBD, set the positive directions of both reactions in the positive direction of yaxis. Enter your answer in kN to three decimal places.
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