Structural Analysis-II — Summer 2023

Define: Stiffness, Distribution factor, Carry over factor

For two span continuous beam having span AB = 3m and BC = 2m,draw qualitative ILD for support reactions. (all supports are simply support)

Find the matrices: [DQ], [DQL], [F] and [Q] with usual notations for the beam shown in fig.1. Use Flexibility method assuming vertical support reaction at B (RB) and vertical support reaction C (RC) as redundant.

State and explain Castigliano’s second theorem with example.

Define: Sway. What are the causes for Sway in portal frames?

Draw the shear force and bending moment diagrams for the beam shown in fig. 1. Use Slope Deflection Method OR Moment Distribution Method.

Differentiate: Stiffness method and Flexibility method. Which method is suitable for general computer programming? Why?

Calculate slope-deflection equations for the portal frame as shown in figure – 2.

Analyze the beam shown in Figure – 3 by Moment Distribution method. Also draw the Bending Moment Diagram.

Find the fixed end moment and distribution factors for the beam shown in figure 4.

Give importance of ILD.

For cantilever of span Ldraw ILD for support reactions and shear force and bending moment at center.

Find the matrices: [AD], [ADL], [S] and [D] with usual notations for the beam shown in figure - 4 using Stiffness method.

Enlist the properties of Stiffness matrix.

For cantilever of span ‘l’ draw ILD for support reactions and shearforce and bending moment at center.

Find member end actions for the beam shown in fig.4 using Flexibility method.

State and explain the Muller-Breslau’s Principle

Write only the Stiffness matrix [S] for the beam shown in Figure – 4.(Take AE and EI = Constant).

Three point loads 70 kN, 60 kN and 50 kN equally spaced 3m respectively, cross a girder of 12 m span from left to right, with the 50 kN load as leading load. Calculate maximum shear force (positive and negative), and bending moment at a section 5m from left end.

Draw “Restrained Structure” and “Released structure” for a propped cantilever beam.

Define Stiffness. Derive relation between stiffness and flexibility.

Give importance of ILD. For one side overhanging beam ABC is having span AB = 5m and overhang part BC = 2m. Draw qualitative ILD for support reactions, shear force and bending moment at 2 m from support A.

Write slope deflection equations for the beam shown in fig. 3, if middle support sink by 3 mm.

For a 10 m span propped cantilever beam AB, fixed at Aand having roller support at B, Draw ILD for RB showing ordinates of ILD at every 1m interval.

Find support reactions of the frame shown in fig. 5 using Castigliano’s theorem.2