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Triangular plate stress calc.
3

Triangular plate stress calc.

Triangular plate stress calc.

(OP)
We need to calculate the max stress on a triangular plate used in our assemblies. The plate is an isosceles triangle welded on all 3 edges to fill a gap. It is subjected to 7 bar pressure. Can anyone suggest a suitable calculation to use so we can avoid FEAing it

RE: Triangular plate stress calc.

Have a look at:

Roark's Formulas for Stress and Strain 7th ed.

TABLE 11.4 Formulas for flat plates with straight boundaries and constant thickness

Case No. 18: Right-angle isosceles triangle; all edges simply supported
18a: Uniform over entire plate

The equations are quite simple.
i.e. Sigma (max) = 0.262qa^2/t^2 where q is the load, a is the height of the triangle, t thickness.

RE: Triangular plate stress calc.

Like Bernoullies123 says, the Roark's book already contains a lot of straight formulas for many special situations.

RE: Triangular plate stress calc.

(OP)
Thanks Bernoullies123 & Boilerone, however I have tried the Roark's formula and it gives a result several times greater than FEA. I suspect the problem is that the edges are fixed (i.e. welded) not simply supported

RE: Triangular plate stress calc.

Timoshenko and Krieger's Theory of Plates and Shells (the source for Roark's formulae) has also the case of an equilateral triangular plate with two or three edges clamped.
Of course I suppose you know that welded does not necessarily imply fixed.

prex
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