4. (a) A horizontal beam ABCD is carried on a hinged support and is continuous over three equal spans of 3 m. All the supports are initially at the same level. The beam is loaded as shown in figure below. Plot the bending moment diagram and sketch the deflected shape of the beam if the support A settles by 20 mm, B settles by 10 mm and C settles by 10 mm. The moment of inertia of the whole beam is 2.4 x 106 mm* and E = 2 x 10$ N/mm?. Use moment distribution method. 10 kN 5 kN 8. 4 kN/m 1.5m 1.5m 3m 1m 2m

Structural Analysis
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Chapter2: Loads On Structures
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4. (a) A horizontal beam ABCD is carried on a hinged support and is continuous
over three equal spans of 3 m. All the supports are initially at the same level.
The beam is loaded as shown in figure below. Plot the bending moment
diagram and sketch the deflected shape of the beam if the support A settles
by 20 mm, B settles by 10 mm and C settles by 10 mm. The moment of
inertia of the whole beam is 2.4 x 10“ mm* and E = 2 x 105 N/mm?. Use
moment distribution method.
10 kN
5 kN
B 4 kN/m
1.5m
1.5m
3m
1m
2m
Transcribed Image Text:4. (a) A horizontal beam ABCD is carried on a hinged support and is continuous over three equal spans of 3 m. All the supports are initially at the same level. The beam is loaded as shown in figure below. Plot the bending moment diagram and sketch the deflected shape of the beam if the support A settles by 20 mm, B settles by 10 mm and C settles by 10 mm. The moment of inertia of the whole beam is 2.4 x 10“ mm* and E = 2 x 105 N/mm?. Use moment distribution method. 10 kN 5 kN B 4 kN/m 1.5m 1.5m 3m 1m 2m
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