So... down the rabbit hole I went.
Cocktail napkin calculations, and some fudge factor for good measure (engineers, cover your ears!):
The mud flap
1) Wind speed @ 100km/h = 27.778m/s
2) Wind load on a surface at this speed is approx 0.67kN/m^2
[source].
3) Approx area of the whole mud flap (assuming it is rigid, and cannot flex at all - imagine a full length bracket as pictured a few posts above) is 1295cm^2. Let's call it 1300cm^2 or 0.13m^2
4) 0.67kN*0.13m^2 = 0.0871kN
5) Rule of thumb to approximately convert kilo Newtons ton Kilograms of force is to multiply the kilonewton value by a factor of 100
[source]
6) Therefore a rigid mudflap, in rough terms, is exposed to approx 8.1kg force at 100km/h (assuming full wind force is seen!).
So I hope the math is correct!
I didn't get too much info on the bracket, and what its limitations might be, but probably safe to assume that it's up to standard. The bracket, being a piece of thin bent sheet steel, with no other bracing, would experience some interesting loads as it acts like a first class lever on the bent edge against the crossmember, and puts the M6 bolts under tension as the mud flap is bent towards the rear of the vehicle. The steel bracket would surely have to bend before the M6 bolts were stripped or fail due to being under tension, but this is just a thought.
TL;DR, I think a flat plate style mud flap brace is not going to cause too much issues at highway speeds. This might be a different story under other forces like water, but even so, I think the limiting factors might be the bracket (or the material of the flat stiffening piece) rather than the attachments to the crossmember.
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