The continuous beam shown in Figure Q2 is fixed at D and simply supported at A, B, and C. It is loaded by uniform distributed loads of 5kN/m as noted on Figure Q2 and by two point loads acting at midspan of the openings BC and CD, equal to 10kN and 20kN respectively. Further, support A settles, and thereby forcing the beam to be lowered, by 20mm as shown in Figure Q2. Given that the flexural rigidity of the beam is constant and equal to El=10000kNm², use the moment distribution method to: a) calculate the moments at the supports of the beam for the loads and the settlement shown in Figure Q2; and b) draw the bending moment diagram indicating all local maximum values. EI= 10000kNm² 20KN for all members 10KN 5kN/m 5kN m B Settlement: 20mm -3m 4 m 3m 3m 4 m 4 m 7777

Structural Analysis
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Chapter2: Loads On Structures
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Question 2
The continuous beam shown in Figure Q2 is fixed at D and simply supported at A, B, and C. It
is loaded by uniform distributed loads of 5kN/m as noted on Figure Q2 and by two point loads
acting at midspan of the openings BC and CD, equal to 10kN and 20kN respectively. Further,
support A settles, and thereby forcing the beam to be lowered, by 20mm as shown in Figure
Q2. Given that the flexural rigidity of the beam is constant and equal to El=10000kNm², use
the moment distribution method to:
a)
calculate the moments at the supports of the beam for the loads and the settlement
shown in Figure Q2; and
b)
draw the bending moment diagram indicating all local maximum values.
EI = 10000kNm²
20kN
for all members
10KN
5kN/m
5kN m
B
Settlement: 20mm
4 M—3m → 3m → 4 m.
+
Figure Q2
-3m
無
4 m.
7777
Transcribed Image Text:Question 2 The continuous beam shown in Figure Q2 is fixed at D and simply supported at A, B, and C. It is loaded by uniform distributed loads of 5kN/m as noted on Figure Q2 and by two point loads acting at midspan of the openings BC and CD, equal to 10kN and 20kN respectively. Further, support A settles, and thereby forcing the beam to be lowered, by 20mm as shown in Figure Q2. Given that the flexural rigidity of the beam is constant and equal to El=10000kNm², use the moment distribution method to: a) calculate the moments at the supports of the beam for the loads and the settlement shown in Figure Q2; and b) draw the bending moment diagram indicating all local maximum values. EI = 10000kNm² 20kN for all members 10KN 5kN/m 5kN m B Settlement: 20mm 4 M—3m → 3m → 4 m. + Figure Q2 -3m 無 4 m. 7777
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