Drawbridge - Force and Moment vs. Elevation

Calculate the resultant force and moment acting on a drawbridge at various elevation angles. For horizontal beams, F = q*L and M = F*a. For elevated beams, the moment varies with the lifting angle: M = F*cos(α)*L/2.

Calculator

Inputs

Results

Moment at 0° (Horizontal)-- Nm
Elevation Angle (°)cos(α)Moment M (Nm)Moment (% of Max)
01.000=inputs.force_F * inputs.distance_a * 1.0=100.0
100.985=inputs.force_F * inputs.distance_a * 0.985=inputs.force_F * inputs.distance_a * 0.985 / (inputs.force_F * inputs.distance_a) * 100
200.940=inputs.force_F * inputs.distance_a * 0.940=inputs.force_F * inputs.distance_a * 0.940 / (inputs.force_F * inputs.distance_a) * 100
300.866=inputs.force_F * inputs.distance_a * 0.866=inputs.force_F * inputs.distance_a * 0.866 / (inputs.force_F * inputs.distance_a) * 100
400.766=inputs.force_F * inputs.distance_a * 0.766=inputs.force_F * inputs.distance_a * 0.766 / (inputs.force_F * inputs.distance_a) * 100
500.643=inputs.force_F * inputs.distance_a * 0.643=inputs.force_F * inputs.distance_a * 0.643 / (inputs.force_F * inputs.distance_a) * 100
600.500=inputs.force_F * inputs.distance_a * 0.500=inputs.force_F * inputs.distance_a * 0.500 / (inputs.force_F * inputs.distance_a) * 100
700.342=inputs.force_F * inputs.distance_a * 0.342=inputs.force_F * inputs.distance_a * 0.342 / (inputs.force_F * inputs.distance_a) * 100
800.174=inputs.force_F * inputs.distance_a * 0.174=inputs.force_F * inputs.distance_a * 0.174 / (inputs.force_F * inputs.distance_a) * 100
900.000=inputs.force_F * inputs.distance_a * 0.000=0.0