1. Lecture #9
Analysis of fuselage frames using
the force method

2. FUSELAGE FRAMES
Airbus A300 2

3. FUSELAGE FRAMES - SURVIVABILITY
Boeing 737, Aloha Flight 243 3

4. FUSELAGE FRAMES
Airbus Beluga 4

5. FUSELAGE FRAMES
Antonov An-225 5

6. FUSELAGE FRAMES
Airbus A380 6

7. FUSELAGE FRAME LOADS Typical loads acting on the fuselage frame are:
- distributed load due to inside pressure;
- concentrated forces;
- bending moments from wings;
- distributed shear load to balance shear forces. 7

8. cc – number of closed contours (cells)
FUSELAGE FRAMES ANALYSIS
When analyzing fuselage frames, one must remember about:
- the usage of symmetry and anti-symmetry;
- internal pressure could be studied separately, basing on superposition principle;
- the internal statical indeterminacy due to the closed contour:
cc – number of closed contours (cells) 8

9.   Force method Slope-deflection method Slope-deflection method
METHODS TO ANALYSE FUSELAGE FRAMES
Small degree
of statical indeterminacy 
Force method
Slope-deflection method
Slope-deflection method
in matrix formulation 
Numerical methods
Large degree
of statical indeterminacy 9

10. EXAMPLE OF FORCE METHOD APPLICATION10

11. FLOWCHART OF SOLUTION USING FORCE METHOD11

12. EXAMPLE OF FORCE METHOD APPLICATION12

13. EXAMPLE OF FORCE METHOD APPLICATION13

14. EXAMPLE OF FORCE METHOD APPLICATION14

15. EXAMPLE OF FORCE METHOD APPLICATION (NUMERICAL SOLUTION)15

16. EXAMPLE OF FORCE METHOD APPLICATION #216

17. EXAMPLE OF FORCE METHOD APPLICATION #2 (NUMERICAL SOLUTION)17

18. EXAMPLE OF FORCE METHOD APPLICATION #318

19. EXAMPLE OF FORCE METHOD APPLICATION #3 (NUMERICAL SOLUTION)19

20. … Internet is boundless …
WHERE TO FIND MORE INFORMATION?
For force method, I recommend
Kassimali. Structural Analysis. 3rd ed. 2005
Chapter 13
For fuselage frames, go to
Megson. An Introduction to Aircraft Structural Analysis. 2010
Chapter 5
… Internet is boundless … 20

21. TOPIC OF THE NEXT LECTURE
Displacement methods
All materials of our course are available
at department website k102.khai.edu
1. Go to the page “Библиотека”
2. Press “Structural Mechanics (lecturer Vakulenko S.V.)” 21