Mailing List flyrotary@lancaironline.net Message #53423
From: Finn Lassen <finn.lassen@verizon.net>
Subject: Re: [FlyRotary] Off topic: Hangar doors
Date: Wed, 29 Dec 2010 23:07:06 -0500
To: Rotary motors in aircraft <flyrotary@lancaironline.net>
A lurker on the list was kind enough to point me to the formula for I for a square tube:

I =

Looks like 1/8" wall 1.5"x1.5" square tubing will be adequate.

I = 0.2184

Maximum deflection at center:

5 * 450 * 120^3 / (384 * 30,000,000 * 0.2184) = 1.55".
At 110 mph wind pressure (30 lbs/sqft).
Supports spaced 1.5 ft apart = 450 pounds distributed load over each 10 ft tube.

That should be more than acceptable.

Can anyone spot any error in these formulas or calculations?

Finn


On 12/29/2010 12:46 AM, Finn Lassen wrote:
Looking to design and build hangar doors.

I kinda fancy vertical harmonica doors.
/\/\/\/\/\
The inner points carried by wheels in groove in concrete slab.
Wheels able to pivot in bottom of door frames.
Top supported by rollers in a steel U-channel, able to pivot in top of door frames.
I figure 3 feet wide sections hinged at edges.
The thinner the better, but will have to be able to withstand wind pressure without deforming.

10 feet tall.
Max wind pressure 31 pounds/sq ft. (110 mph wind zone).
Obviously that's on the high side. There are trees in the vicinity. So 20 pounds/sq ft may be a more realistic number. But it doesn't hurt to be on the safe side,

For calculations the vertical supports will be spaced 1.5 feet apart. (Actually 3 feet apart but doubled at each edge).

I'm figuring maximum of 450 pounds of distributed weight (wind pressure) on each vertical support.

I've seen a couple of different formulas for maximum deflection, for example:
5/384 * W * L^3 / (E * I).

I assume I can safely use E = 30,000,000 for steel.

Let's say I'll allow 3" maximum deflection:
I = 0.113?

However, I'm having trouble arriving at values for I (area moment of inertia).

What would I be for a 2"x2" 1/8" wall square steel tube?
I_0 = \frac{bh^3}{12}


(2 * 2^3) / 12 = 1.33?
Or would that only be for a solid 2x2" bar?

For a 1.5" square tube?
I = 0.42?

(I also need guard railing for my porch. Seems a1.5"D  tube with 1/8" wall is I =  0.1276.
\pi \left(\frac{{r_2}+{r_1}}{2}\right)^3
        \left({r_2}-{r_1}\right)
Does that seem right?)

Also, I guess I'm not so much concerned with deflection as with point of permanent deformation.
How would I arrive at that number?

My objective is the thin hangar doors and the lightest guard rails. And of course cheapest materials.

Sanity check appreciated.

Finn

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