Structural Analysis - III — Winter 2021

Derive the expression for hoop and meridional stress for a conical dome subjected to uniformly distributed load.

Distinguish between stiffness matrix method and flexibility matrix method.

Determine collapse load for a fixed beam having length “L” and subjected to central point load “W” by static and kinematic method.

Evaluate maximum values of bending moment, shear force and torsion moment for a beam circular in plan having radius of 8m and is supported equally spaced 8 supports and loaded by uniformly distributed load of 40kN/m.

Aconical dome of 18m diameter with a central rise of 3m supports total uniformly distributed load of 4kN/m2 over the surface inclusive of self weight. Determine meridional and hoop stress at ring beam level.

Explain term “Plastic hinge”. State the upper bound and lower bound theorems for collapse load in plastic analysis.

Derive the expression for hoop and meridional stress for a spherical dome subjected to uniformly distributed load.

Derive expression for shear force and bending moment at support for a circular beam supported symmetrical.

Aspherical dome with span of 10m and rise 2m has a shell which is 120mm thick. The wind load on the dome is estimated to equivalent to 1.2kN/m2. Estimate stresses in the dome.

Calculate the value of shape factor for a beam of circular section with radius R.

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

Evaluate the value of shape factor for a thin hollow circular section of internal diameter “d” and external diameter “D”.

Enlist various types of loads acting on dome and also write advantages of domes.

Formulate the flexibility matrix [F] and load vector {DQL} for the beam as shown in Figure-1.

For the beam as shown in Figure-1, Calculate values of unknown reactions using flexibility method. Also draw SF and BM diagrams.

Formulate the stiffness matrix [S] and load vrctor {AD-ADL} for the beam as shown in Figure-2.

For the beam as shown in Figure-2, Calculate the joint displacement and final end moments using stiffness method.1