Issue 1 V1.08
Details Here

Simple Beam - UDL at Any Point

More Beams

StructX Calculator
Beam Calculator Input Units:
Dist to Load, a:
Length of Load, b:
Length After Load, c:
Load on Beam, w:
Point of interest, x:
Length of Beam, L:
Resultant, R1 = V1:
Resultant, R2 = V2:
Shear at x, Vx:
Max. Moment, Mmax:
Moment at x, Mx:
Remember: 1m = 1000mm ; 1N/mm = 1000N/m ; 1Nm = 1000Nmm
1ft = 12in ; 1lbf.ft = ; 12lbf/ft = 1lbf/in

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

Simple Beam - Partially Distributed Uniform Load

Need a excel 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:


  • FBD = free body diagram
  • SFD = shear force diagram
  • BMD = bending moment diagram

  • a, b & c = position and length of UDL, in or m
  • L = span length under consideration, in or m
  • M = maximum bending moment, or kNm
  • R = reaction load at bearing point, lbf or kN
  • V = maximum shear force, lbf or kN
  • w = load per unit length, lbf/in or kN/m
  • x = horizontal distance from reaction point, in or m