Structural Analysis-II — Winter 2020

Explain the term: Distribution factor, Carry over factor, Carry over moment.

State and explain Castigliano’s first theorem.

Using Castigliano’s second theorem, find the reaction at point Bof the propped cantilever beam as shown in the Fig. 1.

Write down equation for fixed end moment for the fixed beam in the case of sinking of support.

Write only slope deflection equations for the frame shown in Fig. 1.

Analyze and draw the SFD & BMD for the beam shown in Fig. 2 by slope deflection method.

Find out distribution factor for the frame shown in Fig. 2.

Find out distribution factor for the frame shown in Fig. 3.

Analyze and draw the SFD & BMD for the beam shown in Fig. 2 by Moment distribution method.

Define Stiffness and Flexibility.

Derive the Stiffness Matrix [S] for the beam as shown in Fig. 2.

Analyze the frame shown in Fig. 3 by Moment distribution method

Define sway. What are the causes for sway in portal frames?

State and explain Muller Breslau principle for influence line.

Draw the ILD for reaction V , Vand Vfor the two span continuous beam as a b c shown in Fig 4. Compute ordinates at 2 m interval.

Write properties of stiffness matrix.

Asimply supported beam AB has span 8 m. Draw ILD for R , R ,V , Mfor a b x x section Xat 3 m from left hand support.

Analyse the beam shown in Fig.5 using stiffness matrix method.

State Castiglione’s first and second theorem with its usefulness.

Derive the stiffness matrix [S] only for the beam shown in Fig. 6.

Analyse the frame as shown in Fig. 7 using stiffness matrix method.

Enlist the difference between stiffness matrix method and flexibility matrix method.1

Formulate the flexibility matrix for the beam shown in Fig. 6.

Find the matrices: [D ], [D ], [F] and [Q] with usual notations for the beam Q QL shown in Fig. 8. Use Flexibility method assuming moment (M ) and moment a (M ) as redundant. b