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

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

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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