Question 1 (Beam Moment Distribution) Figure Q1 shows a non-uniform section beam pinned at A, continuous at B and C, and fixed at D. The beam is subjected to a loading condition shown. Span AB has a constant second moment of area 31, span BC has a constant second moment of area I, and span CD has a constant second moment of area 21. The beam is of the same material. a Use the moment distribution method to calculate the bending moments at the ends of all spans, under the point load in AB, and at mid-spans BC and CD. Hence draw a dimensioned sketch of the bending moment diagram. C. Determine the vertical reaction at C.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Question 1 (Beam Moment Distribution)
Figure Q1 shows a non-uniform section beam pinned at A, continuous at B and C, and fixed
at D. The beam is subjected to a loading condition shown.
Span AB has a constant second moment of area 31, span BC has a constant second moment
of area I, and span CD has a constant second moment of area 21. The beam is of the same
material.
a
Use the moment distribution method to calculate the bending moments at the ends
of all spans, under the point load in AB, and at mid-spans BC and CD.
b
Hence draw a dimensioned sketch of the bending moment diagram.
Determine the vertical reaction at C.
45 kN
80 kN
48 kN/m
B.
31
1m
2 m
4 m
2 m
2 m
Figure Q1
Transcribed Image Text:Question 1 (Beam Moment Distribution) Figure Q1 shows a non-uniform section beam pinned at A, continuous at B and C, and fixed at D. The beam is subjected to a loading condition shown. Span AB has a constant second moment of area 31, span BC has a constant second moment of area I, and span CD has a constant second moment of area 21. The beam is of the same material. a Use the moment distribution method to calculate the bending moments at the ends of all spans, under the point load in AB, and at mid-spans BC and CD. b Hence draw a dimensioned sketch of the bending moment diagram. Determine the vertical reaction at C. 45 kN 80 kN 48 kN/m B. 31 1m 2 m 4 m 2 m 2 m Figure Q1
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