Structural Analysis

Explain any three structural forms with examples.

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. 28. Calculate the reactions at supports of the arch, normal thrust and radial shear at 20 m from left support .

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

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 flexure and draw BMD and SFD. [Fig.Q6(b)]. 

Draw SFD and BMD for the propped cantilever beam loaded as shown in Fig. Q6(a). Use consistent deformation method. 

A three hinged parabolic arch is loaded as shown in Fig.5(b). Determine the reactions at supports, normal thrust, radial shear and bending moment at left quarter span point. 

Derive an expression to find length of a cable subjected to uniformly distributed load throughout with usual notations. 

Using strain energy method, compute the deflection at mid span of a simply supported beam carrying a uniformly distributed load of  kN/m. Assume an uniform flexural rigidity. 

 Determine horizontal and vertical component of deflection at point 'C' for the frame loaded as shown in Fig. Q4 by strain energy method. 

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

Find the slope at support A and deflection at centre span of a simply supported beam subjected to loading as shown in Fig. 2(b). Use conjugate beam method. E is constant. 

Determine the slope and deflection at the free end of the cantilever beam of span subjected to udl of intensity /unit length throughout the span. El is constant. Use moment area theorem. 

a. Find the shear force at 'x' using influence line diagram, for the beam show in Fig. Q1(a)

Derive an expression for strain energy stored in a beam due to bending with usual notations.

Explain static indeterminacy and kinematic indeterminacy of structures with examples.

b. Determine natural frequency and period of the system as shown in Fig. Q8(b).

Take  and

a. Explain degrees of freedom, free vibration, natural frequency and damping.

Analyse the continuous beam shown in Fig. 27 by using stiffness matrix method. Use system approach Draw BMD.

Analyse the frame shown in Fig. Q6 by using Flexibility matrix method. Use system approach. Draw BMD. 

Analyse the frame in Fig Q5 by Kani's method. Draw the bending moment diagram.

Analyse the frame shown in Fig 04 by moment distribution method. Draw the banding moment diagram. (El constant). 

Analyse a continuous beam shown in Fig 23. Using moment distribution method. Sketch SFD and BMD. (El constant).

Analyse the frame shown in Fig Q2 by using slope deflection method. Draw BMD and SFD.

 b. A train of Five wheel loads crosses a simple span of 30 meters. Calculate the maximum positive and negative shear at midspan and the absolute maximum bending moment anywhere in the span