Hall Ticket No Question Paper Code: BSTB03
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
M.Tech I Semester End Examinations (Regular) January, 2019
Regulation: IARE-R18
THEORY OF THIN PLATES AND SHELLS
Time: 3 Hours Max Marks: 70
Answer ONE Question from each Unit
All Questions Carry Equal Marks
All parts of the question must be answered in one place only
UNIT I
1. Write short notes on
Ruled surface
ii) Shells of translation
iii) Shells of revolution with sketches
Derive the strain and strain displacement relations for small displacements
2. Define the term membrane and write short notes on membrane theory.
Elucidate the boundary conditions in rectangular and circular plates for the following support
conditions
Built-in edge
ii) simply supported edge
iii) free edge
UNIT II
3. Conclude an expression for the deflection under a sinusoidal loading on rectangular plates with
edges simply supported with sides a and b using Navier's approach.
Using the Navier solution obtain general equation for a concentrated load on a simply supported
rectangular plate.
4. Express the equilibrium equations in polar coordinates of a circular plate.
Find out maximum deflection using Levi's solution for rectangular plate with one pair of edges
is simply supported and other pair is fixed and subjected to uniformly distributed load of
intensity q.
UNIT III
5. Write a short notes on an elastic foundation.
A thin simply supported plate of circular cross section with clamped edges is subjected to uniformly
distributed load of intensity per unit area over its entire surface Assuming the deflection
of the plate to be small in comparison to thickness determine from the fundamentals the maximum
deflection and maximum bending moment in the plate
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6. Give the differential relations of the conditions of compatibility.
Obtain the expression for deflection in case of uniformly loaded rectangular plate with clamped
edges by Rayleigh-Ritz method.
UNIT IV
7. Write the structural components of cylindrical shells with neat sketch mention the various loads
acting on the shell.
Write the assumptions made in membrane theory of shells
8. Elucidate the different classification of shells with neat sketches.
Differentiate between long shells and short shells.
UNIT V
9. Conclude the membrane equations of equilibrium for shells of revolution.
Elucidate stress resultants for spherical shells subjected to symmetrical loading.
10. Explain the general case of deformation of a cylindrical cell.
Discuss the pressure vessels in cylindrical cells.