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Stresses in triangular plate

Stresses in triangular plate

Stresses in triangular plate

(OP)
Does anyone have references for calculating the stresses and  the deflections in a simply supported triangular plate under uniform loading or pressure?  My Roark's only has round and parallel edge supports.  Thanks!!

RE: Stresses in triangular plate

My copy of Roark & Young (5th edition) in Table 26 has cases 17 and 18 for triangular plate with simple supports.

Regards,
-Mike

RE: Stresses in triangular plate

(OP)
Any chance you could scan it?
I am using MathCAD's extension pack and it does not have this load case.

RE: Stresses in triangular plate

IFRs,

I'll be out of the office until late tomorrow afternoon.  If I don't see anything posted by then I will try to get it scanned.

-Mike

RE: Stresses in triangular plate

The basis of Roark's formulae is the Timoshenko, art.72.

prex

http://www.xcalcs.com
Online tools for structural design

RE: Stresses in triangular plate

IFRs,

I have not been able to get a good scan off the equipment I have.  If you still need it, maybe someone else can help.

Regards,
-Mike

RE: Stresses in triangular plate

(OP)
Mike -
If you can, I would appreciate it very much.  If not, I understand and thank you for your efforts to date.
Allen -
Your demo only does rectangular supports, but thanks anyway!

RE: Stresses in triangular plate

from Roark 7th Ed, table 11.4.17, pg519

for an equilateral triangle, simply supported sides, constant thickness, with a uniform pressure load
maximum stress = 0.207q*((L/t)^2)
where q = applied pressure
and L = side length

(the equation is in terms of a, the perpendicular height, = L*sqrt(3)/2)

and max displacement = -0.019q(1-nu^2)L/E*((L/t)^3)
nu = 0.3 ... (1-nu^2) = 0.91

RE: Stresses in triangular plate

IFRs,

I just sent two scans to the email address in your profile.

The quality is about the best I can do.

Hope it works.

-Mike

RE: Stresses in triangular plate

(OP)
rb1957 and Mike - I appreciate your efforts very much.  Stars to follow when I get home and have more than 10 seconds of battery life

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