Bearing Load Calculator Formula

Understand the math behind the bearing load calculator. Each variable explained with a worked example.

Formulas Used

Bearing Pressure

bearing_pressure = f_n / bearing_area

Variables

VariableDescriptionDefault
forceApplied Force (F)(kN)80
bearing_areaBearing Contact Area (A)(mm^2)4000
f_nDerived value= force * 1000calculated

How It Works

Bearing Pressure

Bearing pressure is the compressive contact stress between two surfaces, such as a beam sitting on a support plate.

Formula

sigma_b = F / A_bearing

where F is the applied force and A_bearing is the contact area. This must not exceed the allowable bearing stress of the weaker material. For steel on concrete, allowable bearing is typically 0.85 f'c (concrete strength) multiplied by area modification factors.

Worked Example

An 80 kN beam reaction on a 100 mm x 40 mm bearing plate.

force = 80bearing_area = 4000
  1. 01Bearing area = 100 x 40 = 4000 mm^2
  2. 02F = 80 kN = 80,000 N
  3. 03sigma_b = 80,000 / 4,000 = 20 MPa

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