Bolt Torque Calculator
Calculate required bolt torque.
The relation between applied torque and axial force  or load  in a bolt can be calculated in this general equation as
T = K F d (1  l/100) (1)
where
T = wrench torque (Nm, lb_{f} ft)
K = constant that depends on the bolt material and size
d = nominal bolt diameter (m, ft)
F = axial bolt force (N, lb_{f})
l = lubrication factor (%)
Typical values for K with mildsteel bolts in range 1/4" to 1":
 normal dry: K = 0.2
 nonplated black finish: K = 0.3
 zincplated: K = 0.2
 slightly lubricated: K = 0.18
 cadmiumplated: K = 0.16
Note!  be aware that this is a rough calculation where the screw pitch is not included. Typical Metric and Imperial bolt torques are indicated in the links below:
Manufacturing data should always be checked before use.
In addition the accuracy of a torque wrench is normally no better than +25%.
Typical metric and imperial bolyt torques
Bolt Torque Calculator
The calculator below can be used to calculate the torque required to achieve a given axial bolt force or load. The calculator is generic an can used for imperial and metric units as long as the use of units are consistent.
K  constant
d  diameter of bolt (m, ft)
F  axial bolt force or load (N, lb_{f})
torque reduction due to lubrication (%)
Note that standard dry torques are normally calculated to produce a tensile stress  or axial force or clamp load  in the bolt that equals to 70% of minimum tensile strength or 75% of proof strength.
Example  Required torque for tightening a Imperial bolt
The required bolt clamping force for a joint is 20000 lbs. The torque required for a 3/4" dry steel bolt with 0% lubrication to achieve this tension can be calculated as
T_{dry} = (0.2) (20000 lb) (0.75 in) (1/12 ft/in) (1  (0%) / (100%))
= 250 (lb_{f} ft)
Example  Required torque for tightening a Metric bolt to proof load
The proof load for a M30 metric bolt grad 8.8 is 337000 N. The torque required to achieve this tension with a dry bolt with 0% lubrication can be calculated as
T_{dry} = (0.2) (337000 N) (30 mm) (10^{3} m/mm)
= 2022 (Nm)
Lubricating the bolt with SAE 30 oil reduces the torque required to achieve the same tension with approximately 40%. The reduced torque can be calculated
T_{SAE30} = (2022 Nm) (1  (40%) / (100%))
= 1213 Nm
Bolt Force vs. Torque
Eq. 1 can be rearranged to express bolt force as
F = T / (K d (1  l / 100)) (1a)
Example  Dry vs. Lubricated Bolt
The proof load for a M30 metric bolt grad 8.8 is 337000 N. The torque required to achieve this force with a dry bolt is calculated to 2022 Nm.
By failure the bolt is lubricated and tightened with the same torque 2022 Nm. The force acting in the lubricated bolt can be calculated as
F_{lubricated} = (2022 Nm) / (0.2 (0.03 m) (1  (40%) / (100%)))
= 561667 N
This is way above what the bolt can handle and fatal failure is likely.
Bolt Force Calculator
This calculator can be used to calculate the force acting in a bolt.
T  torque (Nm, lb_{f} ft)
K  constant
d  diameter bolt (m, ft)
torque reduction due to lubrication (%)
Related Topics

Fasteners
Bolts, nuts and threaded rods  torque, tension and loads.
Related Documents

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Minimum ultimate tensile and proof loads for metric bolts with coarse or fine threads. 
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Metric Nuts  Proof Loads
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Tensile strength and proof loads SAE bolts. 
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