Hello Ork1,
Fastener stretch depends on a number of
known variables (unlike the enigmatic "K" factor in the torque equation). In its basic form, it's really quite simple:
? = F
iL
o/E
bA
st
where ? = is the elongation
F
i = the required bolt load
L
o = the original
effective length
E
b = Youngs Modulous
A
st = Effective cross sectional area
"Ah..," you're probably saying, "... but I don't know what the required bolt load is. All I have is this ambiguous 'torque' spec...". Fair enough. In that case, what one has to do if one can't perform a full joint analysis, is to simply work backwards from the Torque Equation to get a value of F
i :
T = K D
n F
i
F
i = (K D
n)/T
Unfortunately, this is fraught with an enormous problem: one has to guess at the Friction Factor (K) which the designer's voo-doo beads had told him to use. Doing this
compounds an already-ineffectual process! All is not lost, though: On non-gasketed joints such as mill flanges or crusher sections, one can assign a value of F
i based on a percentage of proof strength. This has to be done with the assumption that the equipment designer, when performing his flange stress calculation, designed the system with sufficient stiffness.
Interestingly, we have quite a bit of experience with SAG and Ball Mill OEMs who are now desigining their structural fasteners to be preloaded up to 90% of yield!! What's even more interesting (and refereshing ) is that most of them also include bolt elongation values in a column beside the torque specs. They often won't honor future warranty claims if the elongations of all fasteners haven't been measured and recorded. Insurance underwriters have also begun to insist on this for other critical plant equipment.
It seems that people are finally realizing the that the Torque Emperor has been strutting around in the buff...
Ciao,
HevïGuy