4a9bacc1-9960-4e7a-90fd-746570d5895e 63 4 5 decimal

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Deflection of simply supported equilateral triangular plate

The plate rests on a frame in the form of an equilateral triangle. The triangular part of the plate is loaded uniformly distributed load. The equation of the surface of deflections of a triangular plate is taken from the book of S.P.Timoshenko:Timoshenko S.P., Woinowsky-Krieger S. Theory of plates and shells. New York, NY: McGraw-Hill; 1959.

n 40 :

a 1 :

γ 0.2476 - 0.5722 0.7818 - 0.9494 - 0.3041 - 0.0781 0.193 - 0.7616 0.6186 33 mat :

u v R 23 / a * v cos * 23 / a * v sin * u 31 mat : Frame u v R 0 0.02 02 π * 23 CreateMesh γ * : The equation of the surface of deflections(Timoshenko S.P.) u v f 5.5 - (π t * n / sin * u 3^3 v 2^* u * - a u 2^v 2^+ (* - 427 / a 3^* + (* 49 / a 2^* u 2^- v 2^- (* v 13 sqrt / - (u * 2 a * 33 sqrt * / + ≤ (v 13 sqrt / u * 2 a * 33 sqrt * / - ≥ (& (* : u v F a u * a v * u v f 31 mat : t w u v F a 3 / a * - 23 / a * a 3 sqrt / - a 3 sqrt / 2020 CreateMesh γ * : τ 0 n range : 71 line

Deflection under a uniformly disttrbuted periodically applied load

Frame 1 col Frame 3 col augment t w 1 col t w 3 col augment 2 1 sys