Design loads
OK, got all the theory about shear, threads, etc.
Do we know, or know how to calculate, the actual loads that a cleat will have to withstand? Probably pretty hard!
My thought is that I'd want to break my line before the deck or cleat tore out. Given that, add a safety factor of x.xx to feel comfortable about any assumptions you made and the go design the thing. From WM I got the following plated nylon data:
1/2" 7500 lb breaking strength
9/16" 9200 lb
5/8" 10400 lb
3/4" 15000 lb
since they specified breaking strength I probably don't need a huge safety factor and would guestimate 1.1 would be fine.
so my 5/8" anchor/drogue rode would part BEFORE the cleat got to 10400*1.1=11440 lb. so build the structure to handle that. Not much sense building it stronger than the rope it attaches to right?
50k psi materials will need 11440/50k=0.2288 square inches of area to withstand that
19k psi materials would need 0.602 square inches of area
I'm thinking that a washer would be fine provided the structure did not fail in another mode. The other mode being a rotten deck or thin FRG layup.
If someone has the strength of fiberglass I'll do the calc for the area you need to supply (via backing plate load spreader). Id assume that the core does not contribute to the holding in place and just increases the torque that the structure can handle.
Not sure why I'd need the cleat to be stronger than the line except to account for shock or fatigue loading. In which case I'd use 2.0 safety factor and go with 0.45 and 1.2 square inches respectively. Still pretty small IMHO
Other failure modes:
My engineer sense tells me that a deck cleat can fail in the following modes;
water runs out at the dock and the cleat is pulled up
water comes in at the dock and the cleat is pulled sideways and/or downwardish but mostly sideways
the wind / waves hit the boat and the cleat is pulled sideways
Cool! all three modes so we get to earn our keep.
Pulling up mode is either threads stripping, cleat bending, or deck failing in shear
Pulling down/sideways is the bolts bending by toque and or shearing or the deck failing in torque
Pulling sideways is the toe rail plus toe rail bolts plus the deck failing in tension or the bolts shearing off.
since we already know it does not take much surface area for a metal to develop these kinds of forces and I don’t know fiberglass's strength lets make some assumptions about the structure and see how highly stressed it would be and "get a feel" for it.
Assume the sideways load is max at 11440 lb and I provided ample metal to resist shearing off the bolts or bending them off. The failure mode is then pulling a (assuming here) rectangular shaped piece of deck sideways off the boat. If the deck core is 0.5" thick and the glass is 1/16" thick on both sides and the cleat is 4" long and 2" from the edge and there is no metal toe rail (glass takes all the load) we get:
length of the tear resisting area PSI on the glass
4+2+2" 2*(1/16*8)=1.0 11440/1.0=11440 psi
if it rips right out at the cleat and takes the deck to the toe rail with it, it could be made of wood veneer and still hold (wood typically is ~15k psi in tension). FTR I ignored that fact that the two 2" tears to the toe rail would be in shear but since the stress is pretty low I'm not real concerned.
I'm still thinking that washers are going to hold till the rope breaks