A steel beam, of lengths a=5 m and b= 2 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= 5.1 kN/m for AB span; and is constant with q= 5.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. y A a 5 mm 200 mm 9 Дв 300 mm b C X

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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the value of the integration constant C2.

the value of the integration constant C4

 the value of the deflection at point C

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A steel beam, of lengths a = 5 m and b= 2 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= 5.1 kN/m for AB span; and is constant with q= 5.1
kN/m for BC span. The Young's modulus of steel is 200 GPa.
YA
A
a
5 mm
200 mm
الليبية
Дв C
300 mm
b
X
Transcribed Image Text:Flag question A steel beam, of lengths a = 5 m and b= 2 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= 5.1 kN/m for AB span; and is constant with q= 5.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. YA A a 5 mm 200 mm الليبية Дв C 300 mm b X
Perform double integration of the bending moment equations. You will obtain deflections in this form:
for 0 ≤ x ≤ a
vEI = F(x) + C₁x + C3
vEI = G(x) + C₂x + C4
for a ≤ x ≤ a + b
Transcribed Image Text:Perform double integration of the bending moment equations. You will obtain deflections in this form: for 0 ≤ x ≤ a vEI = F(x) + C₁x + C3 vEI = G(x) + C₂x + C4 for a ≤ x ≤ a + b
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you did not use the correct value, a=5m  and b= 2m, also, the force is q =5.1kn/m and not 5.3 kn/m 

can you do it with the right value please, or explain step by step without wrong value 

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