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SATHYABAMA UNIVERSITY

(Established under section 3 of UGC Act,1956)

Course & Branch :B.E - P-CIVIL

Title of the Paper :Structural Analysis – I Max. Marks:80

Sub. Code :SCIX1017(2010-11) Time : 3 Hours

Date :15/05/2012 Session :FN

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PART - A (10 x 2 = 20)

Answer ALL the Questions

1.

State Castigliano’s second theorem.

2. What are the assumptions made in the unit load method?

3. What is meant by absolute maximum bending moment in a beam?

4. What are the uses of influence line diagrams?

5. Write down the slope deflection equation for a fixed end support.

6. Mention any three reasons due to which sway may occur in portal frames.

7.

State Eddy’s theorem.

8. Distinguish between two hinged and three hinged arches.

9. Write down the expression to find the length of a cable.

10. Why stiffening girders are necessary in the suspension bridges?

PART – B (5 x 12 = 60)

Answer ALL the Questions

11. Determine the deflection at the centre of a simply supported beam carrying a uniformly distributed load of intensity w/m

throughout the span L. E1 is constant. Also determine the incremental deflection at the centre due to an additional point load `p` at the centre. Use the unit load method.

(or)

12. Determine the vertical and horizontal displacement of the joint

‘B’ in a pin jointed frame shown in fig.

13. A uniform load of 40kN/m run, 6m long crosses a girder of 30m span. Calculate the maximum shear force and bending moment at sections 5 and 15m from the left hand support. Construct the maximum shear force and bending diagrams.

(or)

14. A system of four loads 80, 160, 160, 120kN crosses a simply supported beam of span 25m with the 120lN load leading. The loads are equally spaced at 1m. Determine the values of the following influence lines (a) Maximum bending moment at a section 10m from left support (b) Absolute maximum bending moment.

15. Analyze the beam shown in fig. by slope deflection method and draw BMD.

(or)

16. Analyze the continuous beam shown in fig. and plot the BMD and SFD. Use moment distribution method. EI is constant.

17. A three hinged parabolic arch of span 40m and rise 8m carries anudl of 30kN/m over the left half span. (a) Analyze the arch and draw the BM diagram (b) Also evaluate the thrust and shear force at a section 10m from left hinge.

(or)

18. Derive an expression for the horizontal thrust of a two hinged parabolic arch.

19. A suspension cable with 200 m span and 12m dip is stiffened by a three hinged girder. Two points loads of 500 kN and 700 kN are placed at the distances of 50 m and 75 m from the left end. Find shear force and bending moment in the girder at a section 60 m from the left end.

(or)

20. The three hinged stiffening girder of a suspension bridge of 100 m span subjected to two point loads of 20 kN each placed at 20m and 40 m respectively from the left hand hinge. Determine the

BM and SF in the girder at section 30 m from each end. Also, determine the maximum tension in the cable which has a central dip of 10m.

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