3. (a) For the beam shown in Figure Q3a, E is constant throughout. Using the moment distribution method and neglecting axial effects: (i) Calculate the internal moment at each of the supports. (ii) Calculate the shear forces at the end of the spans. (iii) Draw the shear force and bending moment diagrams. (b) For the beam shown in Figure Q3b, El = constant throughout: (i) Construct the influence lines of the vertical reactions at points A and B. (ii) Sketch the influence lines for the shear force and bending moment at point D. 14 kN 8 kN/m 21 1.751 3 m 4 m Figure Q3a

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter9: Application Of Influence Lines
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3.
(a) For the beam shown in Figure Q3a, E is constant throughout. Using the moment
distribution method and neglecting axial effects:
(i) Calculate the internal moment at each of the supports.
(ii) Calculate the shear forces at the end of the spans.
(iii) Draw the shear force and bending moment diagrams.
(b) For the beam shown in Figure Q3b, El = constant throughout:
(i) Construct the influence lines of the vertical reactions at points A and B.
(ii) Sketch the influence lines for the shear force and bending moment
at point D.
14 kN
8 kN/m
21
1.751
3 m
1 m
4 m
Figure Q3a
D
A
B
lm
Im
Im
1m
lm
1m
lm
Transcribed Image Text:3. (a) For the beam shown in Figure Q3a, E is constant throughout. Using the moment distribution method and neglecting axial effects: (i) Calculate the internal moment at each of the supports. (ii) Calculate the shear forces at the end of the spans. (iii) Draw the shear force and bending moment diagrams. (b) For the beam shown in Figure Q3b, El = constant throughout: (i) Construct the influence lines of the vertical reactions at points A and B. (ii) Sketch the influence lines for the shear force and bending moment at point D. 14 kN 8 kN/m 21 1.751 3 m 1 m 4 m Figure Q3a D A B lm Im Im 1m lm 1m lm
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