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An excavator digs by using hydraulic cylinders to move a system of arms, pins, and linkages. The boom lifts and lowers the front of the machine, the stick pulls the bucket toward the cab, and the bucket curls to cut and scoop soil. This matters because the machine turns fluid pressure into very large digging forces that a human or simple motor could not produce directly.

Understanding the arm helps explain how construction machines combine physics, engineering, and control.

Key Facts

  • Hydraulic force is calculated by F = P A, where P is fluid pressure and A is piston area.
  • A larger piston area produces more force at the same pressure.
  • Torque about a pivot is calculated by τ = F r, where r is the perpendicular moment arm.
  • The boom, stick, and bucket act like linked levers rotating around strong steel pins.
  • Bucket digging force increases when the hydraulic cylinder pushes at a larger moment arm from the bucket pivot.
  • Work done by the machine is W = F d, so moving soil requires force applied over a distance.

Vocabulary

Hydraulic cylinder
A device that uses pressurized fluid to push or pull a piston rod in a straight line.
Boom
The large upper arm of an excavator that raises and lowers the digging assembly.
Stick
The middle arm, also called the dipper arm, that moves the bucket closer to or farther from the machine.
Linkage
A set of connected bars and pins that transfers motion and force from a cylinder to another part.
Moment arm
The perpendicular distance from a pivot to the line of action of a force.

Common Mistakes to Avoid

  • Confusing pressure with force. Pressure depends on force spread over area, while the cylinder force depends on both pressure and piston area.
  • Ignoring the pivot locations. A cylinder with the same force can create different turning effects depending on how far its line of action is from the pivot.
  • Assuming the bucket only moves because the stick pulls it. The bucket usually curls through its own hydraulic cylinder and linkage, which increases control and digging force.
  • Treating the arm as one rigid piece. The boom, stick, bucket, and linkages rotate separately, so each joint has its own forces and torques.

Practice Questions

  1. 1 A hydraulic cylinder has a piston area of 0.012 m^2 and is supplied with fluid at 8,000,000 Pa. What force can the cylinder produce?
  2. 2 A bucket linkage applies a 45,000 N force with a perpendicular moment arm of 0.35 m about the bucket pivot. What torque is produced?
  3. 3 Explain why an excavator bucket can curl strongly into soil even though the hydraulic cylinder only pushes or pulls in a straight line.