ME544 BEAMS, PLATES AND SHELLS

Course Code:5690544
METU Credit (Theoretical-Laboratory hours/week):3 (3.00 - 0.00)
ECTS Credit:8.0
Department:Mechanical Engineering
Language of Instruction:English
Level of Study:Graduate
Course Coordinator:Prof.Dr. FEVZİ SUAT KADIOĞLU
Offered Semester:Fall or Spring Semesters.

Course Objectives

Objective of this course is to give basic knowledge about the theories which are used to determine the displacement, strain and stress fields in elastic beams, plates and shells. For this purpose;

  • The differences between theory of elasticity and structural theories are pointed out.
  •  Formulation of structural theories by using equilibrium as well as energy (variational) methods is demonstrated.
  • Some exact and approximate solution methods which are used in certain types of beam, plate and shell problems are introduced.

Course Content

Equations of elasticity. Bernoulli-Euler beam theory. Timoshenko beam theory. Kirchoff plate theory. Mindlin plate theory. Kirchoff-Love hypothesis for shells. Reisner theory. Buckling of bems, plates and shells.


Course Learning Outcomes

At the end of this course students will have the ability

  • to write the mahematical expressions for displacement and strain fields in beams, plates and shells
  • to express the stress resultants acting on infinitessimal beam, plate and shell elements,
  • to combine the kinematics, equilibrium concepts and material behavior to obtain governing differential equations for the structural theories using direct and variational approaches,
  • to express boundary conditions for beam, plate and for simple shell problems,
  • to obtain analytical solutions for beam problems and certain simple plate and shell problems,
  • to obtain approximate solutions to beam and certain simple plate problems by variational methods.