A steel beam, of lengths a=4 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 = 5.3 kN/m for AB span; and is constant with q= 5.3 kN/m for BC span. The Young's modulus of steel is 200 GPa. y A commitm Дв C b a 5 mm 200 mm 300 mm X
A steel beam, of lengths a=4 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 = 5.3 kN/m for AB span; and is constant with q= 5.3 kN/m for BC span. The Young's modulus of steel is 200 GPa. y A commitm Дв C b a 5 mm 200 mm 300 mm X
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A steel beam, of lengths a=4 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= 5.3 kN/m for AB span; and is constant with q= 5.3 kN/m for BC span. The Young's modulus of steel is 200 GPa.
9
179
a
5 mm
200 mm
Figure Q.1
Дв
300 mm
b
C
Transcribed Image Text:Part B
Perform double integration of the bending moment equations. You will obtain deflections in this form:
vEI= F(x) + C₁+C3 for 0≤x≤ a
vEI= G(x) + C₂x+C₁
for a ≤ x ≤a+b
Calculate:
e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places.
Answer:
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