__Screw Torque to Force Calculator:__

__Screw Torque to Force Calculator:__

Enter the values of screw Torque, ST_{(N.m)}, lead, L_{(m)} and lead angle, a_{(rad)} to determine the value of linear force, LF_{(N)}.

__Screw Torque to Force Formula:__

__Screw Torque to Force Formula:__

The Screw Torque to Linear Force calculation determines the linear force exerted by a screw based on the applied torque, considering the screw’s physical dimensions and thread pitch.

Linear Force, LF_{(N)} in Newtons, is calculated by dividing the Screw Torque, ST_{(N.m)} in Newton metres, by the product of the lead, L_{(m)} in metres, of the screw and the sine of the lead angle, a_{(rad)} in radians.

Linear Force, LF_{(N)} = ST_{(N.m)} / L_{(m)} * sin(a)

LF_{(N)} = linear force in Newtons, N.

ST_{(N.m)} = screw torque in Newton metres, N.m.

L_{(m)} = lead of the screw in metres, m.

a = lead angle in radians, rad.

__Screw Torque to Force Calculation:__

__Screw Torque to Force Calculation:__

- Calculate the linear force exerted by a screw when a torque of 10 N.m is applied, given that the screw has a lead of 0.005 metres and a lead angle of 5 degrees.

Given: ST_{(N.m)} = 10N.m, L_{(m)} = 0.005m, a = 5degrees.

Linear Force, LF_{(N)} = ST_{(N.m)} / L_{(m)} * sin(a)

sin(a) = sin( 5 * 3.14 / 180) = sin(3.14/ 36) = 0.08716

LF_{(N)} = 10 / 0.005 * 0.08716

LF_{(N)} = 22948.57N.

**Given a linear force of 200N is required to compress a spring using a screw with a 0.01-metre lead and a lead angle of 30 degrees, calculate the required torque.**

Given: LF_{(N)} = 200N, L_{(m)} = 0.01m, a = 30degrees.

Linear Force, LF_{(N)} = ST_{(N.m)} / L_{(m)} * sin(a)

ST_{(N.m)} = LF_{(N)} * L_{(m)} * sin(a)

sin(a) = sin( 30 * 3.14 / 180) = sin(3.14/ 6) = 0.5

ST_{(N.m)} = 200 * 0.01 * 0.5

ST_{(N.m)} = 2N.m.

__Screws – Torque to Force Relationships in Just Over 10 Minutes!__

__Screws – Torque to Force Relationships in Just Over 10 Minutes!__