Thread torque

[SRC90]

Hi,

I need to calculate torque needed to tighten the bolt.
Problem is that the bolt and the hole are not of the same material, and the thread engagement length is fixed - usually smaller than recommended.

I just want to know is this right way to do it, or at least on the right track.

L - thread engagement length
P - thread pitch
D - outer diameter of the bolt
d2 - pitch diameter
u - thread coefficient of friction
us - bolt head-surface coefficient of friction
rs - effective radius of bolt head-surface connection
T - shear strength of the weaker material - ~0.6 of tensile strength

As = 0.5*pi*L*d2 - shear area

fi = atan(u/cos(30°))
ro = atan(P/d2*pi)

F = T_hole*As - shear force

T = F*(d2/2 * tan (fi+ro)+us*rs)

Thanks

 

[desertfox]

Hi SRC90

This site might help

http://www.roymech.co.uk/Useful_Tables/Screws/Preloading.html

“Do not worry about your problems with mathematics, I assure you mine are far greater.” Albert Einstein

 

[Screwman1]

Quick and dirty: take production representative parts and torque to failure. Set seating torque at 60% of mean failure torque.
If failure was by breaking the bolt you will be at about 75% of yield using this method. It will also give you some realistic margin of safety compared to your weakest component.