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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

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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

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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Step 2: Calculate reactions

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Step 3: Calculate moment for section in AB (0 < x< a)

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Step 4: Calculate constants C1 & C3 for section in AB (0 < x< a)

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Step 5: Calculate moment for section in BC (a < x < L)

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Step 6: Calculate constants C2 & C4 for section in BC (a < x < L)

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