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.
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.
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 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.
Transcribed Image Text: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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