 MORE IN Structural Analysis 1
VTU Civil Engineering (Semester 4)
Structural Analysis 1
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(a) Explain static indeterminacy and kinematic indeterminacy of structures with examples.
6 M
1(b) Derive an expression for strain energy stored in a beam due to bending with usual notations.
8 M
1(c) Explain any three structural forms with examples.
6 M

2(a) Determine the slope and deflection at the free end of the cantilever beam of span l subjected to udl of intensity ω/unit length throughout the span. EI is constant. Use moment area theorem.
8 M
2(b) Find the slope at support A and deflection at centre span of a simply supported beam subjected to loading as shown in Fig. Q2(b). Use conjugate beam method. E is constant. 12 M

3 Find the vertical at the joint C for the pin jointed truss shown in Fig.Q3, by strain energy method. The cross sectional area is shown. Take E= 200 kN/mm2. 20 M

4(a) Determine horizontal and vertical component of deflection at point 'C' for the frame loaded as shown in Fig.Q4 by strain energy method. 14 M
4(b) Using strain energy method, comput the deflection at mid span of a simply supported beam carrying a uniformly distributed load of ω kN/m. Assume an uniform flexural rigidity.
6 M

5(a) Derive an expression to find length of a cable subjected to uniformly distributed load througout with usual notations.
8 M
5(b) A three hinged parabolic arch is loaded as shown in Fig. Q.5(b). Determine the reactions at supports, normal thrust, radial shear and bending moment at left quarter span point. 12 M

6(a) Draw SFD and BMD for the propped cantilever beam loaded as shown in Fig.Q6(a). Use consistent deformation method. 8 M
6(b) For a rigidly fixed beam AB of span 5m carrying a uniformly distributed load of 10 kN/m over the entire span, locate the point of contra flexture and draw BMD and SFD. [Fig.Q6(b)],carryout complete analysis using consistent deformation method. 12 M

7 Analyze the continuous beam shown in Fig.Q7, by three moment theorem. E is constant. Draw the BMD and SFD. 20 M

8 A two hinged parabolic arch of constant cross-section has a span of 60 m and a central rise of 10 m. It is subjected to loading as shown in Fig.Q8. Calculate the reactions at supports of the arch, normal thrust and radial shear at 20 m fro left support. 20 M

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