A steel beam, of lengths a=5 m and b= 3 m and a hollow box cross section, is supported by a hinge support A and roller support B, see 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. Th 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, for BC span. The Young's modulus of steel is 200 GPa. YA A a الطليعملنا 9 Дв с u b X

Mechanics of Materials (MindTap Course List)
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.4P: Segments A B and BCD of beam A BCD are pin connected at x = 4 m. The beam is supported by a sliding...
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Perform double integration of the bending moment equations. You will obtain deflections in this form (can be found in the image attached)

 

 

Calculate:

the value of the constant integration C2Enter your answer in kNm2 to three decimal places.

b) the value of the integration constant C4Enter your answer in kNm2 to three decimal places.

c) the value of the deflection at point CEnter your answer in mm to three decimal places.

-vEI = F(x) + С₁x + C3
vEI = G(x) + C₂x+C₁
for 0≤x≤ a
for a ≤x≤a+b
Transcribed Image Text:-vEI = F(x) + С₁x + C3 vEI = G(x) + C₂x+C₁ for 0≤x≤ a for a ≤x≤a+b
A steel beam, of lengths a=5 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= 5.1 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
Figure Q.1
پسیلین
300 mm
B
b
с
Transcribed Image Text:A steel beam, of lengths a=5 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= 5.1 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 Figure Q.1 پسیلین 300 mm B b с
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