Hydraulic Force Calculator, Formula, Hydraulic Force Calculation

Hydraulic Force Calculator:

Enter the values of pressure, P_(Pa), rod diameter, D_r(m) and piston diameter, Dp_(m) to generate the value of hydraulic force, F_(N).

Hydraulic Force Formula:

The hydraulic force formula is crucial for understanding the force generated by hydraulic systems, such as in hydraulic presses or jacks. This force is a result of fluid pressure applied over a specific area.

Hydraulic force, F_(N) in Newton is equal to:

(i) substract the value of rod diameter, D_r(m) in metres from piston diameter, Dp_(m) in metres,

(ii) divide the product of pressure, P_(Pa) in Pascals, subtracted diameter value in metres and pi by 4.

Hydraulic force, F_(N) =  P_(Pa) * ( 3.14 * (Dp²_(m) – D_r²_(m)) ) / 4

F_(N) = hydraulic force in Newton, N.

P_(Pa) = pressure in Pascals, Pa.

D_p(m) = piston diameter in metres, m.

D_r(m) = rod diameter in metres, m. (if no rod, D_r(m) = 0)

Hydraulic Force Calculation:

1. A hydraulic press has a piston diameter of 0.1 metres and no rod. The pressure applied within the system is 2,000,000 Pascals (2 MPa). Calculate the force exerted by the piston.

Given: P_(Pa) = 2,000,000, D_p(m) = 0.1m, D_r(m) = 0.

Hydraulic force, F_(N) =  P_(Pa) * ( 3.14 * (Dp²_(m) – D_r²_(m)) ) / 4

F_(N) = 2,000,000 * (3.14 * (0.1²– 0) ) / 4

F_(N) = 2,000,000 *  0.00785

F_(N) = 15,700N.

2. Calculate the pressure required to generate a force of 20,000 N in a hydraulic system with a piston diameter of 0.15 metres and a rod diameter of 0.05 metres.

Given: D_r(m) = 0.05m, D_p(m) = 0.1m, F_(N) = 20,000N.

Hydraulic force, F_(N) =  P_(Pa) * ( 3.14 * (Dp²_(m) – D_r²_(m)) ) / 4

P_(Pa) = 4 * F_(N) / ( 3.14 * (Dp²_(m) – D_r²_(m)) )

P_(Pa) = 4 * 20000 / (3.14 * (0.1-0.05))

P_(Pa) = 80000/ 0.0628

P_(Pa) = 1.274MPa

Hydraulics – A Simple Explanation!