Structural Analysis - III — Summer 2022

Analyze the beam shown in Fig.01 by stiffness method.

Analyze the frame as shown in Fig.02 by flexibility method

Derive an expression for Mand Tfor a curved beam fixed at the ends. ɸ ɸ

Aspherical dome with a span of 15 m and central rise of 3m has all inclusive load of 10 kN/m2. calculate all the stresses at the mid height.

Differentiate between straight beam and curved beam.

Derive an expression for stresses in conical dome subjected to concentrated load at the vertex.

Aroof of a hall having diameter 20m is to be covered by a conical dome of 100 mm thickness and 4 m rise. Assuming live load and other loads as 1.5 kN/m2, calculate stresses in the dome.

Derive an expression for stresses in spherical dome subjected to concentrated load at crown.

Determine the shape factor of a triangle which is symmetrical about its neutral axis.

State and explain the basic assumptions made in the plastic theory.

Derive an expression for Meridional thrust and hoop force for a spherical dome subjected to UDL.

Explain type of domes with neat sketches and state their uses

Define the following terms: Dome, Shape factor, Load factor, collapse load, Plastic hinge, Released structure, Restrained structure.

Differentiate between stiffness method and flexibility method

Explain the concept of plastic analysis and design1

Derive an expression for S.F. and B.M. at support for a circular beam supported symmetrically

Give the uses of curved beam. FIG 01 FIG