Fig. 1-7. Transmission of Force |
The single cylinder in Fig. 1-7(A) has been replaced by two individual cylinders in Fig. 1-7(B). Both are of the same diameter and are connected with a suitable hydraulic line. The conditions present in Fig. 1-7(B) are not changed, because the hydraulic system has not been changed. The force applied to piston 1 is transmitted through the fluid to piston 2. Some frictional losses are present in any operating system, but we will forget about it for now.
Fig. 1-8. Unequal piston areas |
However, if the applied force is reversed and the 500 pounds in Fig. 1-8. is apllied Against piston 2, the output force on piston 1 is reduced to 100 pounds. The calculation remain the same:
500 lbs : 50 sq in = 10 psi.
10 psi x 10 sq in =100 pounds.
Both of these example demonstrate how force can be increased or decreased in a hydraulic system by leverage. There is another principle of leverage that must be remembered. That is, for every force increase in a two piston system, there is a corresponding movement decrease. If piston 1 in Fig. 1-8. move 5 inches, it diplaces50 cubic inches of fluid (5 in x 10 sq in) = 50 cu in). The 50 cubic inches of hydraulic fluid is transmitted through the system to piston 2. The 50 cubic inches of fluid acts on the square inch area of piston 2, causing it to move 1 inch (50 cu in : 50 sq in = 1 in).
The arrangement of pistons shown in Fig. 1-8. provides a ratio of 5 to 1 for any force applied on piston 1. At the same time the amount of movement of piston 2 is 1/5 the movement of piston 1. The velocity or speed of piston 2 is also 1/5 the velocity of piston 1. No matter what the ratio, if you want to multiply the hydralic force of the system, you will reduce the amount and speed of movement. On the other hand, if the force is apllied to the larger piston, you increase the amount and speed of movement, but you reduce the force exerted by the system.
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