1. Molly Kane January 31, 2008 Structures Group Fuselage Buckling Analysis
AAE 450 Spring 2008

2. Matlab Code
Assumptions: perfect cylindrical shell, constant radius, uniaxial stress, unpressurized, radius is taken to be from the center of cylinder to half-way through the thickness
Dimensions taken from Tsohas’ rocket:
L = 8.44 m
R = m
Inputs:
Material specifications (Young’s Modulus, Poisson’s Ratio, density)
Length, radius, thickness
Outputs:
Critical pressure, amount of material, (eventually pricing)
AAE 450 Spring 2008
Structures Group

3. Future Work
Add material selections, add effects of internal supports, account for changing radius with stages, welding
AAE 450 Spring 2008
Structures Group

4. Backup Slides Method 1 from Wang, Wang, Reddy Ncr = 1 (Et2/R)
√(3(1-ν2))
Method 2 from Brush, Almroth
Pea = [(πa/L)2 + n2]2 *(n/a) (πa/L)
Eh n (1-v2) (n2[(πa/L)2 + n2]2)
Where n is an integer representing the number of half – waves present in along the structure
Method 3 from Baker, Kovalevsky, Rish
Pcr = Kc π2E (t/L)2 Kc = 4√(3) γZ Z = L2 √(1-v2)
12(1-v2) π Rt
Where γ is representative of the R/t ratio.
AAE 450 Spring 2008
Structures Group

5. References
Baker, E.H., Kovalevsky, L., Rish, F.L., Structural Analysis of Shells, Robert E. Krieger Publishing Company, Huntington, NY, 1981, pgs
Brush, D.O., Almroth, B.O., Buckling of Bars, Plates, and Shells, McGraw Hill, 1975, pgs
Grandt, A.F., AAE352 Class Notes, Spring 2007, Purdue University
Jastrzebski, Zbigniew D., The Nature and Properties of Engineering Materials, 2nd edition, SI Version, John Wiley & Sons, Inc.
Wang, C.Y., Wang, C.M., Reddy, J.N., Exact Solutions for Buckling of Structural Members, CRC Press, Boca Raton, FL, 2005.
AAE 450 Spring 2008