Calculate the value of the integration constant C4. Enter your answer in kNm2 to three decimal places. A steel beam, of lengths a = 5 m and b=5 m and a hollow box cross section, is supported by ahinge support A and roller support B, see Figure Q.1. The width and height of the cross sectionare 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. Thebeam is under a distributed load of the intensity that linearly varies from q = 0 kN/m to q= 5kN/m for AB span; and is constant with q=5 kN/m for BC span. The Young's modulus of steel is200 GPa.y, v5 mm200 mm9300 mmmbсX Perform double integration of the bending moment equations. You will obtain deflections inthis form:VEI= F(x) + C₁x + C3UEI = G(x) + C₂x + C4for 0≤x≤ afor a ≤x≤ a+b

Given:a=b= 5mq= 5kN/mRequired:Value of integration constant C4

Answered: Calculate the value of the integration…

Engineering

Civil Engineering

Calculate the value of the integration constant C4. Enter your answer in kNm2 to three decimal places

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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Question

Calculate the value of the integration constant C₄. Enter your answer in kNm² to three decimal places.

A steel beam, of lengths a = 5 m and b=5 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
kN/m for AB span; and is constant with q=5 kN/m for BC span. The Young's modulus of steel is
200 GPa.
y, v
5 mm
200 mm
9
300 mm
m
b
с
X

Perform double integration of the bending moment equations. You will obtain deflections in
this form:
VEI= F(x) + C₁x + C3
UEI = G(x) + C₂x + C4
for 0≤x≤ a
for a ≤x≤ a+b

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