Screw Jack Force Calculator

Formula

The formula to calculate the screw jack force (Fsj) is:

\[ \text{Fsj} = \frac{\text{L} \times \text{p}}{2 \pi \text{R}} \]

Where:

\(\text{Fsj}\) is the screw jack force (lb)
\(\text{L}\) is the load on the screw jack (lb)
\(\text{p}\) is the pitch of the thread (in)
\(\text{R}\) is the lever arm radius (in)

What is Screw Jack Force?

A screw jack force is the effort force at the end of the arm or handle of a screw jack that is required to insert a screw into a threaded hole. It is a measure of the mechanical advantage provided by the screw jack.

Example Calculation

Let's assume the following values:

Load on Screw Jack (L) = 500 lb
Pitch of Thread (p) = 0.2 inches
Lever Arm Radius (R) = 10 inches

Using the formula to calculate the screw jack force (Fsj):

\[ \text{Fsj} = \frac{\text{L} \times \text{p}}{2 \pi \text{R}} = \frac{500 \times 0.2}{2 \pi \times 10} \approx 1.59 \text{ lb} \]

The screw jack force (Fsj) is approximately 1.59 lb.