Screw Torque to Linear Force Calculator

Formula

To calculate the linear force (LF) from screw torque (ST):

\[ \text{LF} = \frac{\text{ST}}{\text{L} \times \sin(\alpha)} \]

Where:

\(\text{LF}\) is the linear force (N)
\(\text{ST}\) is the screw torque (N-m)
\(\text{L}\) is the lever arm length (m)
\(\(\alpha\)\) is the angle of the applied force (degrees)

What is Screw Torque?

Screw torque is the force needed to tighten a fastener to a certain point. The amount of torque required depends on the material, size, and type of the screw. The tightening process is influenced by the friction between threads, nut face, and bolt shank, which can be affected by lubrication and surface finish.

Example Calculation 1

Let's assume the following values:

Screw Torque (\(\text{ST}\)) = 50 N-m
Lever Arm Length (\(\text{L}\)) = 0.5 m
Angle of Applied Force (\(\(\alpha\)\)) = 30 degrees

Using the formula:

\[ \text{LF} = \frac{50}{0.5 \times \sin(30^\circ)} = \frac{50}{0.5 \times 0.5} = 200 \text{ N} \]

The Linear Force is 200 N.

Example Calculation 2

Let's assume the following values:

Screw Torque (\(\text{ST}\)) = 100 N-m
Lever Arm Length (\(\text{L}\)) = 1 m
Angle of Applied Force (\(\(\alpha\)\)) = 45 degrees

Using the formula:

\[ \text{LF} = \frac{100}{1 \times \sin(45^\circ)} = \frac{100}{1 \times 0.707} = 141.42 \text{ N} \]

The Linear Force is 141.42 N.