A non-uniform, three-span beam is pinned at supports A and E as shown in Figure Q.4 is to be analyzed using the moment distribution method with no more than 6 distributions. For the loading indicated, (a) determine the final bending moments at supports A, B and C, (b) determine the reactions at support A, (c) sketch the bending moment diagram for the beam indicating all salient values.

Structural Analysis
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Chapter2: Loads On Structures
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Part B Moment Distribution for Continuous Beams and
No-Sway Frames
Q.4 A non-uniform, three-span beam is pinned at supports A and E as shown
in Figure Q.4 is to be analyzed using the moment distribution method with
no more than 6 distributions.
For the loading indicated,
(a) determine the final bending moments at supports A, B and C,
(b) determine the reactions at support A,
(c) sketch the bending moment diagram for the beam indicating all
salient values.
Treat C as an end simple support to determine the DFs with a
hogging moment due to the load at D.
Hint:
4 kN
8 kN/m
A EI
Ve
2.0EI
1.5EI
VA
4.0 m
VB
4.0 m
2.0 m
Figure Q.4
Transcribed Image Text:Part B Moment Distribution for Continuous Beams and No-Sway Frames Q.4 A non-uniform, three-span beam is pinned at supports A and E as shown in Figure Q.4 is to be analyzed using the moment distribution method with no more than 6 distributions. For the loading indicated, (a) determine the final bending moments at supports A, B and C, (b) determine the reactions at support A, (c) sketch the bending moment diagram for the beam indicating all salient values. Treat C as an end simple support to determine the DFs with a hogging moment due to the load at D. Hint: 4 kN 8 kN/m A EI Ve 2.0EI 1.5EI VA 4.0 m VB 4.0 m 2.0 m Figure Q.4
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