A counterbalanced forklift is rated 5,000 lb at a 24-in load center. It must carry a crate 72 in deep with its center of gravity at the crate's midpoint, as shown. The front-axle fulcrum is 16 in behind the vertical face of the forks. Using a moment balance about the front axle, what is the truck's derated capacity for this load?
, where = rated capacity, = fork-face-to-axle distance, = rated load center and = actual load center
Show answer & explanation
Answer: C
- Formula: C_d = C_r × (d + LC_r) ÷ (d + LC_a).
- Actual load center: CG at the midpoint of a 72-in crate, so LC_a = 72 ÷ 2 = 36 in.
- Rated moment about the front axle: 5,000 lb × (16 in + 24 in) = 200,000 in-lb.
- Derated capacity: 200,000 in-lb ÷ (16 in + 36 in) = 200,000 ÷ 52 = 3,846 lb.
- Answer: about 3,846 lb. Confirm against the manufacturer's capacity data before lifting.
2,273 lb: Uses the full 72-in crate depth as the load center: 200,000 ÷ (16 + 72). The load center is the distance to the center of gravity, which is 36 in.
3,333 lb: Uses the simple ratio 5,000 × 24/36. This drops the 16-in axle distance that the printed moment formula includes.
3,846 lb: Correct. Rated moment = 5,000 × (16 + 24) = 200,000 in-lb; derated capacity = 200,000 ÷ (16 + 36) = 3,846 lb.
5,556 lb: Adds the axle distance to the rated load center only: 5,000 × 40/36. The 16 in also belongs in the actual moment arm, and capacity cannot rise when the load center moves out.
A longer load center increases the forward moment about the front axle, so capacity falls. Balance moments measured from the fulcrum, not from the fork face alone.