The above beam force calculator is based on the provided equations and does not account for all mathematical and beam theory limitations. The calculator has been provided with educational purposes in mind and should be used accordingly. Unit conversion

Free engineering spreadsheet for designing the above beam, click Here!

Notation and Units

Metric and Imperial Units

The above beam design formulas may be used with both imperial and metric units. As with all calculations care must be taken to keep consistent units throughout with examples of units which should be adopted listed below:

Notation

FBD = free body diagram

SFD = shear force diagram

BMD = bending moment diagram

a & b = distance to point load, in or m

E = modulus of elasticity, psi or MPa

I = second moment of area, in^{4} or m^{4}

L = span length under consideration, in or m

M = maximum bending moment, lbf.in or kNm

P = total concentrated load, lbf or kN

R = reaction load at bearing point, lbf or kN

V = maximum shear force, lbf or kN

∆ = deflection or deformation, in or m

x = horizontal distance from reaction point, in or m