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www.vidyarthiplus.com M.TECH. DEGREE EXAMINATION Branch : Civil Engineering Specialization: Computer Aided Structural Engineering Model Question Paper - I Second Semester MCESE 203 THEORY OF PLATES AND SHELLS (Regular – 2011Admission onwards) Time : Three Hours Maximum : 100 marks 1.

(a) Give a brief account of classification of plates. (10 marks) (b) Derive the moment curvature relationship in the case of pure bending of plates. (15 marks) OR 2. (a) What are the assumptions made in thin plates with small deflections? (5 marks) (b) Derive the equations of equilibrium for small deflections of laterally loaded plates. (20 marks)

3. A simply supported rectangular plate of dimension a x b x h is subjected to load ‘P’ acting over an area uv. Derive the expression for deflection. Adopt Navier’s approach. (25 marks) OR 4. Find Levy’s solution for simply supported and uniformly loaded rectangular plates. (25 marks)

5. (a) Derive the differential equation for deflection for the symmetrical bending of a circular plate with lateral loads of the type. d 3 w 1 d 2 w 1 dw Q    dr 3 r dr 2 r 2 dr D r

Where Q = total shear force on the plate

=

 qrdr

, q = intensity of lateral

0

loading , r = radius , D = Flexural rigidity of the plate.

(25 marks)

OR 6. Obtain the expression for deflection in case of uniformly loaded circular plates with clamped edges. (25 marks)

[P.T.O]

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www.vidyarthiplus.com 7. Find the equations of equilibrium in case of shells in the form of a surface of revolution and loaded symmetrically with respect to their axis. (25 marks) OR 8. (a) Explain the structural behaviour of folded plates. (b) Sketch the various shapes of folded plate roofs used in practice. (c) Explain the different classification of shells with neat sketches.

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(5 marks) (10 marks) (10 marks)