Dr. A.P.J. Abdul Kalam University MTECH II SEM (MTSE) Theory of Plates and Shells [MTSE205] June 2021 Question Paper

Dr. A.P.J. Abdul Kalam University

Master of Technology

Second Semester Examination, June-2021

Theory of Plates and Shells [MTSE205]

Time: 3:00 Hrs Max Marks 70

Note : Attempt any five questions. All questions carry equal marks.

Any data required but not provided may be assumed.

Q.1 a) Discuss the Slope and curvature of slightly bent plates?

b) A circular plate of radius a with simply supported edges carries a load of

intensity q UDL over the entire surface of the plate derivation the expression

for the maximum deflection of the plate?

Q.2 a) Write the various assumption made in thin plates with small deflection?

b) Derive the moment curvature relationship in the case of pure bending of

plates?

Q.3 a) Discuss the general theory of cylindrical shell loaded symmetrical with

respect to its axis?

b) Compare membrane theory and bending theory of cylindrical shell in

detail?

Q.4 a) Discuss the membrane theory of density curved shell and thus obtain the

expression for membrane force along meridional and circumferential

directions?

b) Write short note on Gaussian curvature?

Q.5 a) Discuss in detail the boundary condition?

b) Explain the use of infinite integrals and transforms?

Q.6 a) Discuss Fourier loading ?

b) Write short note hyperbolic parabolic shells?

Q.7 a) Explain differential equation for cylindrical bending of plates?

b) Explain cylindrical bending of uniformly loaded rectangular plates with

simply supported edges?

Q.8 a) Write relation between bending moment and curvature in pure bending of

plates?

b) Write short note Strain energy in pure bending of plates?

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