1
Analyse the beam shown in figure (1), by stiffness matrix method.
14 M
2 (a)
Discuss the Castigliano's theorem. How it will be useful for the analysis of
truss?
7 M
Solve any one question from Q2(b) & Q2(c)
2 (b)
Explain the Muller Breslau's principle. How it will be useful for the
indeterminate beam?
7 M
2 (c)
Compute the ordinates of ILD for reaction at A for the figure (2).
7 M
Solve question from Q3(a) & Q3(b), Q3(c)
3 (a)
Analyse and draw BMD for portal frame shown in the figure (3), by using moment distribution method.
14 M
3 (b)
Explain the term: Distribution factor, carry over factor, carry over moment and
Stiffness.
4 M
3 (c)
Analyze and draw the BMD for the beam shown in figure (4) by moment distribution method.
10 M
Solve any one question from Q4(a) & Q4(b)
4 (a)
Analyse and draw BMD for portal frame shown in the figure (5), by using slope deflection method.
14 M
4 (b)
Determine the support reactions at support D of the given portal frame of figure (6), by using flexibility matrix method.
14 M
Solve question from Q5(a), Q5(b) & Q5(c).
5 (a)
Compute the vertical deflection of point D of the truss as shown in figure (7). The cross sectional area of member DE and AD are 1500 mm2 and other members are 1000 mm2. E = 200 kN/mm2.
10 M
5 (b)
Differentiate the influence line diagram for BM at any section and normal BM diagram. Explain this with taking simple example.
4 M
5 (c)
Five wheel loads as shown in figure (8), crosses a simply supported beam of span 24 m from left to right. Calculate the maximum positive and negative SF at the center of the span and absolute maximum BM anywhere in the span.
14 M
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