Semester:

5

Course Code:

CE3010

Course Name:

Plates and Shells

Credit Value:

2 (Notional hours: 100)

Prerequisites:

CE1130

Core/Optional

Core

Hourly Breakdown

Lecture hrs.

Tutorial hrs.

Practical hrs.

Assignment hrs.

Independent Learning & Assessment hrs.

27

3

-

-

70

Course Aim: To provide knowledge of the behaviour of thin plates and thin shells.

Intended Learning Outcomes:

On successful completion of the course, the students should be able to;

➢    derive the governing differential equations and analyze 2D/3D elastic solid bodies for internal stresses and strains.

➢    analyze thin rectangular and circular plates for bending behaviour.

➢    determine the membrane behaviour of axisymmetric and cylindrical thin shells and explain

limitations in the membrane theory.

➢    analyze thin shells for bending stresses due to edge effects.

➢    integrate the knowledge towards design of thin shells.

Course Content:

➢    Introduction: Basics of general 2D and 3D elastostatic problems, governing equations.

➢    Analysis of stress and strain: Analysis of stresses and strains in 3D; introductions to 2D approximation of 3D problems, plane stress and plane strain problems.

➢    Plates: Theory of plates; simplifications to rectangular and circular plates.

➢    Membrane: Membrane theory of thin shells; axisymmetric and cylindrical shells. Limitations in membrane theory.

➢    Beams on elastic foundations and its applications in shell theory

➢    Thin shells: Edge effects and bending theory of thin shells.

➢    Design of ring beams for shell connections: accommodate bending stresses in thin shells

Teaching /Learning Methods:

Classroom lectures, tutorial discussions

Assessment Strategy:

Continuous Assessment

40%

Final Assessment

60%

Details:

Quizzes     20%

Assignments/Tutorials    20%

Theory (%)

60

Practical (%)

-

Other (%)

-

Recommended Reading:

➢    Logan, D.C. (2007). A First Course in the Finite Element Method, 4th edn (1st Indian Reprint), Cengage Publishing Company.

➢    Cook, R.D., & Young, W.C. (1985). Advanced Mechanics of Materials, Macmillan Publishing Company.

➢    Timoshenko, S.P., & Goodier, J.N. (1970). Theory of Elasticity, 3rd edn, McGraw-Hill.

➢    Timoshenko, S.P., & Woinowsky-Krieger, S. (1970). Theory of Plates and Shells, McGraw-Hill.

➢    Timoshenko, S.P. (1970). Strength of Materials, Part I & II, 3rd edn, McGraw-Hill.