GTU Civil Engineering (Semester 5)
Structural Analysis 2
May 2016
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


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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