Answered: A steel beam, of lengths a = 5 m and b…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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 = 4 kN/m for AB span; and is constant with q = 4 kN/m for BC span. The Young’s modulus of steel is 200 GPa.

Perform double integration of the bending moment equations. You will obtain deflections in this form:

vEI = [F(x) + C_1x + C_3] for 0 < x < a

vEI = [G(x) + C_2x + C_4] for a < x < a + b

Calculate:

The values of the integration constants C_2 and C_4.

AY, V
A
a
5 mm
200 mm
I
9
Дв
300 mm
b
C
RA
X

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