Answered: A beam AB with overhanging is 6 m in…

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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Question

A beam AB with overhanging is 6 m in length and made from steel as shown in Figure 2. It is supported by a pin at A and a roller at B. The beam carries a linearly distributed load of 35 kN/m along
AB and uniformly distributed load of 8 kN/m along CD. A moment of 8 kNm is acting at D. The
beam has a cross-section x-x as shown in Figure 3.
a) By using shear-force and bending-moment equations, determine the magnitude of the shear force and bending moment at points A, B, C, and D.
b) Construct the shear force and bending moment diagrams for the beam. State all the important values and location of inflection point (if any).
c) Calculate the maximum bending stress of the point where located at the inflection point.
d) Determine the maximum shear stress and shear stress at point Y.

35 kN/m
8 kN/m
8 kNm
X.
*1m- 2m
3 m
A
в
C.
D
Figure 2: A beam subjected to various loadings
84
Y
12
-- N.A
84
20
220
20
Figure 3: Cross-section x-x of beam (all dimension in mm)
X--

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