I think Mike hit it this one squarely on the head (strain energy). A co-worker had posed that explanation to me, but it was poorly articulated. Is it reasonable to say that "increasing the length under tension allows there to be more strain energy in the system without increasing the strain on the fastener"?
Now that I have a direction to investigate, I dug out a textbook and found some equations to back up the claim.
(1) strain = displacement / length = d/L
(2) displacement = d = F*L/(A*E)
from (1) and (2)
(3) strain = F/(A*E)
Or stated verbally, the strain on a member in tension is dependent on the tensile force applied, the cross-sectional area of the member, and the elastic modulus of the member, but not the length.
(4) strain energy = U = F^2/(2*k) = (F^2)*L/(2*A*E)
So if we want to increase strain energy, our options might be:
A. Increase F, the tensile force
B. Increase L, the length under tension
C. Decrease A, the cross-sectional area
D. Decrease E, the elastic modulus (material property)
Recall from equation (3) that options A, C, and D will increase the strain on the member. So while we may be able to change any of these properties by re-design, we will eventually reach the threshold of allowable strain on the member, and these options are no longer permissible. That leaves option B, increasing the length. And in the instance of the fastener, the simplest way to increase the length under tension is to provide more space between the nut and the bolt head by, say, adding a washer.
tbuelna,
Agreed. I was thinking the same thing, but then again, it's a hardened disk, so I didn't see the benefit from that angle. Good point, though.
R4FKEN,
This also seems like a possibility. It's hilarious, isn't it? We prescribe a torque value when what we really want is a tension - and numerous factors (such as friction) keep us from achieving our desired tension value because it interferes with the fragile relationship between the two.
Tmoose,
Square holes, yes. The disk-contacting portion of the hub is a casting; I believe the holes are formed by the mold, rather than machined in. There's not a lot of clearance on the hub side once this is in the field, so I assume that for ease of maintenance (and ease of manufacturing, for that matter) carriage bolts were used to appease customer demands.
Thanks to all who replied.