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. Ay, V 9 a 5 mm 200 mm Figure Q.1 & B 300 mm b C 4
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. Ay, V 9 a 5 mm 200 mm Figure Q.1 & B 300 mm b C 4
Principles of Foundation Engineering (MindTap Course List)
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Chapter6: Vertical Stress Increase In Soil
Section: Chapter Questions
Problem 6.4P: Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine...
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Transcribed Image Text: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, v
9
a
5 mm
200 mm
Figure Q.1
Дв
300 mm
b
C
X
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.
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VIEWStep 2: Calculate reactions
VIEWStep 3: Calculate moment for section in AB (0 < x< a)
VIEWStep 4: Calculate constants C1 & C3 for section in AB (0 < x< a)
VIEWStep 5: Calculate moment for section in BC (a < x < L)
VIEWStep 6: Calculate constants C2 & C4 for section in BC (a < x < L)
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