Triangular plates

[aalmeter]

I need to evaluate uniformly loaded, simply supported plates in the shape of an isosceles triangle. I don't have a copy of Roark, but would that book cover it? Can anyone offer any guidance on this (other than FEA)?

Thanks

 

[miecz]

Roark has a solution for a simply supported right angle isosceles triangle.

 

[dik]

The plastic moment from Ferguson for a triangularly supported concrete slab, assuming isotropic reinforcing is qr2/6 where r is th inscribed circle radius. Confirm prior to use.

Dik

 

[aalmeter]

Thank you both.

I am assuming that none of Roark's tables are published anywhere online?

I have several of the tables for rectangular plates, but nothing for triangular. I plan on getting the 7th edition, but I'm hoping to wrap this up before FedEx makes the delivery.

 

[miecz]

If you have the table for flat plates of constant thickness with straight boundaries, it's at the end, case 18 in the 5th ed. I believe Mathsoft provides the tables as part of a package.

 

[aalmeter]

Thanks again. We finally located one of the copies that was floating around the office.

For anyone looking for this info:

Max stress = (0.262qa^2)/t^2

Max defl = (0.038qa^4)/Et^3

q=uniform load
a=dist from the right angle to the center of the hypot.
t=plate thickness