# Screw Torque Calculator

## About Screw Torque Calculator (Formula)

A Screw Torque Calculator is a tool used to determine the amount of torque required to tighten a screw or bolt to a specified level of tightness. Torque is the rotational force applied to the fastener to create tension and secure the joint properly. Proper torque application is crucial for ensuring that the fastener doesn’t become loose over time or get damaged due to excessive force.

The formula for calculating screw torque involves several factors:

1. Coefficient of Friction (μ): The coefficient of friction between the screw and the materials being fastened together. It represents the resistance to motion between the threads of the screw and the mating surface.
2. Thread Pitch (P): The distance between successive threads on the screw. It is usually measured in millimeters or inches.
3. Thread Radius (r): The effective radius of the screw, which is half the nominal diameter. It is also measured in millimeters or inches.
4. Applied Force (F): The force applied to the screw, usually in Newtons (N) or pounds-force (lbf).

The formula for screw torque calculation is:

Torque (T) = (F * μ * r) / (2 * π * P)

where: T = Torque in Newton-meters (Nm) or pound-feet (lbf-ft) F = Applied Force in Newtons (N) or pounds-force (lbf) μ = Coefficient of Friction (dimensionless) r = Thread Radius in meters (m) or inches (in) π = Pi (approximately 3.14159) P = Thread Pitch in meters (m) or inches (in)

When using the calculator, make sure to use consistent units for all the variables. Different types of screws and applications may have varying coefficients of friction, so it is essential to refer to the manufacturer’s guidelines or consult engineering handbooks for specific values.

It’s important to note that over-torquing or under-torquing a screw can lead to problems. Under-tightening may result in a weak joint, while over-tightening can cause the fastener to break or strip the threads, leading to potential failures.

Using a screw torque calculator helps ensure that the right amount of force is applied to achieve the desired clamping force and joint integrity. Always follow the recommended torque values specified by the screw manufacturer or engineering standards for your particular application to achieve optimal results.