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# Bolt Torque Calculator

## Calculate required bolt torque

The relation between applied torque and axial force - or load - in a bolt can be calculated as

T = K F d                      (1)

where

T = wrench torque (Nm, in lb)

K = constant that depends on the bolt material and size

d = nominal bolt diameter (m, in)

F = axial bolt force (N, lb)

Typical values for K with mild-steel bolts in range 1/4" to 1":

• normal dry: K = 0.2
• nonplated black finish: K = 0.3
• zink-plated: K = 0.2
• slightly lubricated: K = 0.18
• cadmium-plated: K = 0.16

Note! - be aware that this is a rough calculation - in addition the accuracy of a torque wrench is normally no better than +-25%.

### 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, in)

F - axial bolt force or load (N, lb)

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 to achieve this tension can be calculated as

Tdry = (0.2) (20000 lb) (0.75 in)

= 3000 (in lb)

= 3000 (in lb) / 12 (in/ft)

= 250 (ft lb)

### Example - Required torque for tightening a Metric bolt to proof load

The proof load for a M30 metric bolt grad 8.8 is 373000 N. The torque required to achieve this tension with a dry bolt can be calculated as

Tdry = (0.2) (373000 N) (30 mm) (10-3 m/mm)

= 2238 (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

TSAE30 = (2238 Nm) (1 - (40%) / (100%))

= 1343 Nm

## Related Topics

• Fasteners - Bolts, nuts and threaded rods - torque, tension and loads

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## Unit Converters

Temperature

oC
oF

Length

m
km
in
ft
yards
miles
naut miles

Area

m2
km2
in2
ft2
miles2
acres

Volume

m3
liters
in3
ft3
us gal

Weight

kgf
N
lbf

Velocity

m/s
km/h
ft/min
ft/s
mph
knots

Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O

Flow

m3/s
m3/h
US gpm
cfm

9 13

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