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Moment arms change the required effort

Engineering calculators (Beta)

Match the diagram conditions, then follow the example inputs and results. Change numerical values in the calculator.

1. Match the diagram to your question

Moment arms change the required effortFloadFulcrum

Downward effort and load act on opposite sides of the fulcrum.

Blue marks inputs; orange marks outputs. These diagrams explain the fixed example below; dimensions and deformation are not drawn to physical scale.

2. Example inputs

Effort-side moment arm a
What goes here?

Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.

200 mm
Load-side moment arm b
What goes here?

Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.

50 mm
Load-side force Fload
What goes here?

Magnitude of a push or pull, in force units such as N, rather than mass in kg.

1,000 N

These are fixed teaching inputs. Coefficients, properties and comparison limits are not recommendations. Enter your conditions in the calculator.

3. Results for this example

Required effort force
250 N
Ideal force advantage a/b
4
Moment magnitude on each side
50 N·m

Moment arms are perpendicular distances to force lines. This example has downward forces on opposite sides of the fulcrum and finds effort for a 1,000 N load.

4. Which formula is used?

Feffort a = Fload b, MA = a/b, R = Fload + Feffort

Table units are not always the units required in the formula. The calculator converts selected units to its internal base units before computing.

Assumptions and exclusions

Rigid static lever with downward forces on opposite sides of the pivot as illustrated. a and b are perpendicular distances from pivot to each force line. Self-weight, friction, member bending, pivot strength and deformation are excluded.

Enter your own conditions →

“Try these example inputs” loads the fixed example. “Enter your own conditions” opens the calculator normally.