AOE 3024: Thin-Walled Structures

Fall 2001

·        COURSE DESCRIPTION:

 

·        SYLLABUS:

 

·        LEARNING OBJECTIVES:

 

·        EXTERNAL LINKS

1.      AOE 3024 Course Pack Developed by Eric Johnson:

2.      AOE 3024 Course by Rakesh Kapania:

3.      Aircraft Structures by Raphael Haftka:

 

·        LECTURES

1.      Introduction to stresses.

2.      Plane stress, and stresses in other planes. Example: State of Stress in a Component.

3.      Principal Stresses and Mohr Circle 2-D. Equilibrium Equations. 

4.      3-D Equilibrium Equations.  Strain-Displacement Relations. 

5.      CANCELLED

6.      Compatibility Equations, 3-D Stress-Strain Relations.

7.      3-D Stresses in terms of Strains, Volumetric Strain, and Lamé Constants.

8.      3-D Principal Stresses and Failure Theories.

9.      Axial Force, Shear, and Bending Moment Diagrams, Method of Sections.

10.  Axial Force, Shear, and Bending Moment Diagrams, Differential Equations. Mathematica Example.

11.  Normal Stresses due to Bending, Neutral Axis.

12.  Shear Stresses Due to Bending.

13.  Shear Flow (Open Symmetric Cross Sections).

14.  Shear Center in Open Symmetric Cross Sections.

15.  Review for Test-I.

16.  TEST – I :  SOLUTION.

17.  Solution of Test-I.

18.  Bending of Asymmetric Sections.

19.  Shear Flow and Shear Center in Asymmetric Open Sections. Example: Shear Center.

20.  Skin-Stringer Idealization.

21.  Torsion of Thin-walled Tube and Open Sections.

22.  Non-uniform Torsion, and Review.

23.  TEST – II : SOLUTION.

24.  Solution of Test-II

25.  Introduction to Finite Element Analysis

26.  Assembly of Stiffness Matrix for Truss Element

27.  Displacements and Forces of 2-D Truss Structures, Mathematica Example.  

28.  2-D Beam Elements

29.  End of Semester Review.

 

·        HOMEWORK ASSIGNMENTS

1.      Representation of stresses.                                                        SOLUTION

2.      Principal Stresses of HW 1.                                                      SOLUTION

3.      Strain Displacement Relations.                                                  *SOLUTION*

4.      Failure Points and Loads for HW 3.                                          *SOLUTION*

5.      Shear Force & Bending Moment Diagrams.                              *SOLUTION*

6.      Root Stresses with Fuel in Wing or Fuselage.                            *SOLUTION*

7.      Bending of Beams with Asymmetric Sections.                            SOLUTION

8.      Shear Center of an Open Cross-Section.

9.      Stiffness Matrix for a System of Springs – 1D                            *SOLUTION*           

10.  Stiffness Matrix and Solution for a System of Springs – 2D        *SOLUTION*           

 

* Mathematica File (you need at least MathReader from Wolfram.com)

 

 

·        EXTRA CREDIT ASSIGNMENT

Finite Element Program

Evaluation Problem

 

  • PROGRAMS

1.      FEM.m : Mathematica program for finite element analysis. 

2.       

 

Zafer Gürdal.