A steel beam, of lengths a=4 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= 5.8 kN/m for AB span; and is constant with q= 5.8 kN/m for BC span. The Young's modulus of steel is 200 GPa. A y, v a 5 mm 200 mm 9 Дв 300 mm b C X
A steel beam, of lengths a=4 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= 5.8 kN/m for AB span; and is constant with q= 5.8 kN/m for BC span. The Young's modulus of steel is 200 GPa. A y, v a 5 mm 200 mm 9 Дв 300 mm b C X
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please help me with e,f and g.
Transcribed Image Text:A steel beam, of lengths a= 4 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= 5.8 kN/m for AB span;
and is constant with q= 5.8 kN/m for BC span. The Young's modulus of steel is 200
GPa.
Part B
y, v
a
5 mm
200 mm
vEI = F(x) + C₁x + C3
vEI = G(x) + C₂x + C4
9
miw
B
Figure Q.1
300 mm
b
for 0≤x≤ a
for a ≤ x ≤a+b
C
Perform double integration of the bending moment equations. You will obtain
deflections in this form:
X
Calculate:
e) the value of the integration constant C₂. Enter your answer in kNm² to three
decimal places.
f) the value of the integration constant C4. Enter your answer in kNm² to three
decimal places.
g) 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.
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