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A steel beam, of lengths a= 6 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 = 3.1 kN/m for AB span; and is constant with q=3.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. Part A Calculate: A y, v a 5 mm 200 mm Figure Q.1 9 ÅB 300 mm b C 81 X

A steel beam, of lengths a= 6 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 = 3.1 kN/m for AB span; and is constant with q=3.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. Part A Calculate: A y, v a 5 mm 200 mm Figure Q.1 9 ÅB 300 mm b C 81 X

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A steel beam, of lengths a= 6 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 = 3.1 kN/m for AB span; and is constant with q= 3.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. Part A Calculate: A y, v a 5 mm 200 mm Figure Q.1 9 S B 300 mm b с X
Transcribed Image Text:A steel beam, of lengths a= 6 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 = 3.1 kN/m for AB span; and is constant with q= 3.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. Part A Calculate: A y, v a 5 mm 200 mm Figure Q.1 9 S B 300 mm b с X
Part A 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. Answer: Check Question 2 Flag question b) the vertical support reaction in support B. Enter your answer in kN to two decimal places. Answer:
Transcribed Image Text:Part A 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. Answer: Check Question 2 Flag question b) the vertical support reaction in support B. Enter your answer in kN to two decimal places. Answer:
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c) the value of the maximum bending moment in the beam. Enter your answer in kNm to three decimal places. Note: when deriving internal moment equations, use the following orientation of x coordinate: • Segment AB: x changes from 0 at support A to a at support B. After making the cut, keep the part of the beam left from the cut. • Segment BC: xchanges from a at support B to L at point C, where L = a + b. After making the cut, keep the part of the beam right from the cut, i.e. distance from point C to the cut is equal L-x. Answer: Check 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.
Transcribed Image Text:c) the value of the maximum bending moment in the beam. Enter your answer in kNm to three decimal places. Note: when deriving internal moment equations, use the following orientation of x coordinate: • Segment AB: x changes from 0 at support A to a at support B. After making the cut, keep the part of the beam left from the cut. • Segment BC: xchanges from a at support B to L at point C, where L = a + b. After making the cut, keep the part of the beam right from the cut, i.e. distance from point C to the cut is equal L-x. Answer: Check 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.
A steel beam, of lengths a= 6 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 = 3.1 kN/m for AB span; and is constant with q= 3.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. Part A Calculate: A y, v a 5 mm 200 mm Figure Q.1 9 S B 300 mm b с X
Transcribed Image Text:A steel beam, of lengths a= 6 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 = 3.1 kN/m for AB span; and is constant with q= 3.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. Part A Calculate: A y, v a 5 mm 200 mm Figure Q.1 9 S B 300 mm b с X
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