Q3. The beam shown in Figure 3(a) is pinned at A and has a roller support at F. The beam is a channel section as shown in Figure 3(b). a) Determine the support reactions at A and F. b) Derive the expression, in terms of x, for the bending moment in the beam, for the region between A and C only; that is, for 0 < x <2 m. Note: x = 0 at A. c) Draw the shear force diagram for the beam.

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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Q3.
section as shown in Figure 3(b).
The beam shown in Figure 3(a) is pinned at A and has a roller support at F. The beam is a channel
a)
Determine the support reactions at A and F.
b)
Derive the expression, in terms of x, for the bending moment in the beam, for the region between
A and C only; that is, for 0 < x < 2 m. Note: x = 0 at A.
c)
Draw the shear force diagram for the beam.
d)
Draw the bending moment diagram for the beam.
e)
Calculate the maximum normal stress around the centroidal x-axis for the beam.
f)
Calculate the second moment of area of the beam cross section about the centroidal x-axis.
4kN
2kN
10KN/m
1m
1m
2m
1m
1m
Figure 3 (a): Beam under loading
у-аxis
155 mm
15 mm
15 mm
15 mim
275 mm
15 mm
15 mm
15 mm
15 mm
Х-ахis
Transcribed Image Text:Q3. section as shown in Figure 3(b). The beam shown in Figure 3(a) is pinned at A and has a roller support at F. The beam is a channel a) Determine the support reactions at A and F. b) Derive the expression, in terms of x, for the bending moment in the beam, for the region between A and C only; that is, for 0 < x < 2 m. Note: x = 0 at A. c) Draw the shear force diagram for the beam. d) Draw the bending moment diagram for the beam. e) Calculate the maximum normal stress around the centroidal x-axis for the beam. f) Calculate the second moment of area of the beam cross section about the centroidal x-axis. 4kN 2kN 10KN/m 1m 1m 2m 1m 1m Figure 3 (a): Beam under loading у-аxis 155 mm 15 mm 15 mm 15 mim 275 mm 15 mm 15 mm 15 mm 15 mm Х-ахis
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