Can ANSYS solve this plate buckling problem accurately? The following explains a simple test of buckling analysis of a plate in ANSYS.

Plate parameters:
Size: b = 112.8 in, a = 720 in.
Thickness: h = 1 in
Young's Modulus: E = 29000 ksi
Poisson's Ratio: nu = 0.3
Yield strength: fy = 50 ksi

Boundary condition: simply supported (moment free)

Our equation for the buckling capacity with
a/b = 720/112.8 = 6.4, k=3.29, gives Fcr = 8.24 ksi.


The input below file is for the buckling solution for all edges simply supported. Using your equation the buckling stress is 8240psi or 8.24ksi.
The ANSYS solution using the file is 8175psi, so that is pretty close agreement.

/PREP7
BLC4,0,0,112.8,720

MP,EX,1,29e6
MP,PRXY,1,0.3

ET,1,SHELL281

R,1,1, , , , , ,

LESIZE,2, , ,73, , , , ,1
LESIZE,1, , ,9, , , , ,1
LESIZE,3, , ,9, , , , ,1
LESIZE,4, , ,73, , , , ,1

AMESH,1

FINISH
/SOLU

ANTYPE,STATIC
PSTRES,ON
DL,1, ,UY,
DL,1, ,UX,
DL,1, ,UZ,
DL,3, ,UZ,
DL,2, ,UZ,
DL,4, ,UZ,
SFL,3,PRES,1,

SOLVE
FINISH

/SOLUTION
ANTYPE,1

BUCOPT,SUBSP,1,0,0

SOLVE
FINISH
/POST1
SET,LIST





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