I need help on this question: a) Find the value of the integration constant C4. The answer should be in kNm2 to three decimal places. b) Find the value of the deflection at point C. The answer should be in mm to three decimal places.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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I need help on this question:

a) Find the value of the integration constant C4. The answer should be in kNm2 to three decimal places.

b) Find the value of the deflection at point C. The answer should be in mm to three decimal places.

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= 4.2 kN/m for AB span; and is constant with q = 4.2 kN/m
for BC span. The Young's modulus of steel is 200 GPa.
YA
9
xxxcmium
a
5 mm
200 mm
Figure Q.1
300 mm
B
b
с
X
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= 4.2 kN/m for AB span; and is constant with q = 4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. YA 9 xxxcmium a 5 mm 200 mm Figure Q.1 300 mm B b с X
Perform double integration of the bending moment equations. You will obtain deflections in this form:
vEI = F(x) + С₁x + C₂ for 0≤x≤a
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: vEI = F(x) + С₁x + C₂ for 0≤x≤a vEI = G(x) + C₂x + C4 for a ≤ x ≤a+b
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