Bolt Torque Calculator
Calculate tightening torque for a target bolt preload.
About the Bolt Torque Calculator
Calculates the tightening torque needed to achieve a target bolt preload (clamp force), using the nut factor K and bolt diameter.
$$ T = K \cdot F \cdot d $$
How to use this calculator
- Enter the target preload force in \(\text{N}\) or the unit used by your calculator.
- Choose the torque coefficient \(K\), which represents friction in the threads and under the head.
- Enter the bolt diameter \(d\). Make sure the units match the force units so the torque comes out correctly.
- Read the calculated torque \(T\), then apply it with a torque wrench and check the joint specification.
The formula explained
The formula \(T = K \cdot F \cdot d\) estimates the tightening torque needed to create a target preload. It combines the preload force \(F\), the bolt diameter \(d\), and the torque coefficient \(K\), which accounts for friction.
- T = tightening torque
- K = torque coefficient, a friction factor
- F = target bolt preload force
- d = bolt diameter
Step by step method
- Identify the target preload force \(F\), the bolt diameter \(d\), and the torque coefficient \(K\).
- Substitute the values into \(T = K \cdot F \cdot d\).
- Multiply \(K\), \(F\), and \(d\) to find the torque.
Worked example
Problem. Find the tightening torque for a bolt with preload \(F = 12{,}000\) \(\text{N}\), torque coefficient \(K = 0.20\), and diameter \(d = 0.010\) \(\text{m}\).
- Start with \(T = K \cdot F \cdot d\).
- Substitute the values, \(T = 0.20 \cdot 12{,}000 \cdot 0.010\).
- Compute the result, \(T = 24\) \(\text{N}\cdot\text{m}\).
Answer. \(24\) \(\text{N}\cdot\text{m}\)
Tips and common mistakes
- The coefficient \(K\) can change a lot with lubrication, coating, and surface condition, so use the value from your engineering data when possible.
- Torque is only an estimate of preload, because friction can vary from bolt to bolt.
Frequently asked questions
What is the nut factor K?+
An empirical factor (~0.2 dry, ~0.15 lubricated) capturing thread and head friction.
Why does lubrication lower torque?+
Less friction means more of the torque becomes useful clamp force.
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