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.

Program Outcomes Matrix

Contribution
#Program OutcomesNoYes
1Acquires the fundamental scientific knowledge required to analyze and solve advanced-level problems in the field of mechanical engineering.
2Gains the competence to utilize advanced engineering mathematics methods in the formulation, analysis, and solution of engineering problems.
3Conducts literature reviews using printed and online sources, analyzes the collected literature, and identifies the current state-of-the-art in the relevant scientific field.
4Demonstrates the ability to prepare and deliver a seminar on a technical subject.
5Develops the ability to conduct independent research on a specific topic and solve advanced engineering problems.
6Contributes to the national and/or international body of knowledge through original research.
7Gains the competence to effectively communicate the process and results of research conducted on a specific subject through scientifically structured written reports and oral presentations.
8Acquires the ability to publish research findings as articles in national and/or international scientific journals and/or present them as papers at conferences.
9Acts in accordance with universal principles of research and publication ethics.