GTU Civil Engineering (Semester 4)
Structural Analysis - 2
May 2015
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 (a) Differentiate between pre-tensioning and post-tensioning in detail.
4 M
1 (b) What is an influence line diagram? Explain its importance in structural Analysis.
3 M
1 (c) Explain: Distribution factor and Rotation contribution factor.
4 M
1 (d) Write advantages of fixed beam over simply supported beam.
3 M

2 (a) Analyze the beam shown in Figure-1 by using Kani's method and draw bending moment diagram.

7 M
2 (b) Analyze the fixed beam shown in Figure-2 and draw bending moment diagram Only.

7 M
2 (c) Analyze the Continuous beam shown in Figure - 3 and draw bending moment diagram only.

7 M

3 (a) State Castigliano's theorem I and II.
4 M
3 (b) Analyze the beam shown in Figure - 4 by using Moment Distribution method and draw Shear Force and Bending Moment Diagrams.
10 M
3 (c) Define the term "sway". Enlist the situation wherein say occur in portal frames.
4 M
3 (d) Analyze the beam shown in Figure - 4 by using Slope Deflection method and draw Shear Force and Bending Moment Diagrams.

10 M

4 (a) Using consistent deformation method determine all reaction components of beam as shown in Figure-5 and plot SFD and BMD.

7 M
4 (b) Using Castigliano's 1st theorem, find the slope and the deflection at the free end of a cantilever beam of span 6m and subjected to a UDL of 30kN/m throughout the span.
7 M
4 (c) Using Unit Load method, find the deflection at the centre for a simply supported beam of span 8m subjected to a UDL of 30kN/m throughout the Span.
7 M
4 (d) A propped cantilever beam of span 4m is subjected to a UDL of 60kN/m throughout the span. Using Castigliano's 2nd theorem, find the reactions and draw Shear force and bending moment diagrams
7 M

5 (a) A pre-stressed concrete beam of section 300 × 500 mm is subjected to a pre-stressing force of 2000 kN with an eccentricity of 100 mm from bottom. It is subjected to a live load of 20 kN/m over a span of 10 m. Calculate the stresses at top and bottom fibre at mid-span for (i) at transfer and (ii) after the application of live load. Draw bending stress distribution diagrams. Take unit weight of concrete = 24 kN/m3 .
7 M
5 (b) State and explain Muller Breslau's principle. State the significance of influence line diagram in structural analysis.
7 M
5 (c) Draw influence line diagrams of reaction at A and B for a propped cantilever beam AB of span 4 m with ordinate interval of 1.0 m using Muller Breslau principle.
7 M
5 (d) What are the losses in pre-stress? Explain any one in detail.
7 M



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