# Bolt Torque Calculator

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 mild-steel bolts in range 1/4" to 1":

- normal dry:
*K = 0.2* - nonplated black finish:
*K = 0.3* - zinc-plated:
*K = 0.2* - slightly lubricated:
*K = 0.18* - cadmium-plated:
*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.

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.

## Related Topics

### • Fasteners

Bolts, nuts and threaded rods - torque, tension and loads.

## Related Documents

### Bolt Stretching and Tensile Stress

Tensile stress and Hooke's Law.

### Improvised Torque Wrench

Improvise a torque wrench with a luggage scale.

### Metric Bolts - Minimum Ultimate Tensile and Proof Loads

Minimum ultimate tensile and proof loads for metric bolts with coarse or fine threads.

### Metric Bolts - Tightening Torques

Recommended thightening torque metric bolts.

### Metric Nuts - Proof Loads

Proof loads of metric nuts - coarse and fine threads.

### Reduced Torque with Lubricated Bolts

Lubrication effect on bolt tension and torque.

### Threaded Bolts - Stress Area

Threaded bolts tensile stress area.

### Threaded Rods - Loads in Imperial Units

Weight rating of threaded hanger rods.

### Threaded Rods - Proof Loads - Metric Units

Proof load capacities of metric threaded steel rods.

### US Bolts - Tensile Strength and Proof Loads

Tensile strength and proof loads SAE bolts.

### US Bolts - Tightening Torques

Recommended bolt torques.

### US Hex Bolts - Inches

ANSI/ASME B18.2.1 Dimensions of Hex Bolts - Imperial units.

### US Hex Bolts - Metric

ANSI/ASME B18.2.3M Dimensions of Hex Bolts - Metric units.

### Whitworth Bolt Torques

Torque specifications Whitworth bolts.