Calculate the value of the deflection at point C. Enter your answer in mm to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.

Structural Analysis
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Chapter2: Loads On Structures
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 Calculate the value of the deflection at point CEnter your answer in mm to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.

Perform double integration of the bending moment equations. You will obtain deflections in
this form:
VEI= F(x) + C₁x + C3
UEI = G(x) + C₂x + C4
for 0 ≤x≤a
for a ≤x≤ a+b
Transcribed Image Text:Perform double integration of the bending moment equations. You will obtain deflections in this form: VEI= F(x) + C₁x + C3 UEI = G(x) + C₂x + C4 for 0 ≤x≤a for a ≤x≤ a+b
A steel beam, of lengths a = 5 m and b = 5 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
kN/m for AB span; and is constant with q=5 kN/m for BC span. The Young's modulus of steel is
200 GPa.
y, v
5 mm
200 mm
9
300 mm
m
b
с
X
Transcribed Image Text:A steel beam, of lengths a = 5 m and b = 5 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 kN/m for AB span; and is constant with q=5 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v 5 mm 200 mm 9 300 mm m b с X
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