I'm trying to figure out how to calculate the tension in the strap given a uniform (snow load) on the turret roof. The steeper the pitch the less the tension in the strap. This reminds me of some of my calculus problems from my college days, but it is probably much simpler than that.
A larger overhang would counter the flattening effect of the load on the roof and reduce the tension in the strap.
If you take the tributary load at the center of the roof as half the distance from the center to the outside wall the point load at the center would be given as P = (S + D) * pi * (d/4)^2.
The horizontal force exerted by each rafter would then be: Fh = P/tan(Theta) * (1/n) where "n" equals the number of rafters.
The tension in the strap from basic statics would be T = (Fh/2) / cos(omega) where omega = 90 * (1 - 1/n).
Anyone care to check my math and see if it adds up?
I'm assuming an overhang of zero or at least conservatively ignoring the countering affect of the overhang.
A confused student is a good student.
Nathaniel P. Wilkerson, PE