Structural Analysis - III — Winter 2019

Explain with neat sketches the various mechanism of failure of plane frames in plastic analysis.

Derive an expression for Meridional stress and Hoop stress develop in a spherical dome subjected to UDL.

Find collapse load of fixed beam having length “L” and subjected to point load “W” acting at a distance “a” from left support and distance “b” from right support by static method and kinematic method.

Explain type of domes with neat sketches and state their uses.

Explain technical aspects of difference between curved beam and usual beam.

State the assumptions of Plastic theory.

Derive formula of Fø, Mø and Tø at any section, for the quarter circular cantilever beam curved in plan, subjected to uniformly distributed load w per unit run throughout its length, with usual notations.

State uses of domes and beams curved in plan.

Differentiate between stiffness method and flexibility method.

Analyze the beam shown in fig. 1 using stiffness method.

State and explain static and kinematic theorem of plastic analysis.

List and explain the stresses in spherical dome.

Analyze the frame as shown in fig.2 by stiffness method and determine support moments only.

Analyze the beam as shown in fig.3 by flexibility method and determine moment at support A & B.

Determine collapse load for a frame as shown in fig.4 by kinematic method.

The conical dome has following details. 1) Span of Dome = 18 m 2) Rise = 3.0 m 3) LL or WL = 1.5 kN/m2 4) Thickness of Dome = 100 mm. Calculate maximum meridional thrust and hoop force in the dome.

Abeam is quarterly curved in plan forming an arc of circle with radius 4.0 m. The beam carries LL of 2.0 kN/m and having 300 mm x 600 mm cross section. Draw SF, BM and TM. Take G = 0.4E for concrete. Fig.1 (Q.4 a) Fig.2 (Q.4 b OR) Fig.3 (Q.5 a) Fig.4 (Q.5 b)2