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/mm

^{2}.

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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