Issue 1 V1.07
Free

Simple Beam - Central Point Load and Variable End Moments

More Beams

StructX Calculator
Beam Calculator Input Units:
Between Supports, L:
Load on Beam, P:
Point of interest, x:
End Moment, M1:
End Moment, M2:
Youngs Modulus, E:
Moment of Inertia, I:
Resultant, R1 = V1:
Resultant, R2 = V2:
Moment, M3:
Moment at x, Mx:
Deflection at x, ∆x:
Remember: 1m = 1000mm ; 1N/mm = 1000N/m ; 1Nm = 1000Nmm
1ft = 12in ; 1lbf.ft = 12lbf.in ; 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 - Central Point Load and Variable End Moments

Free engineering spreadsheet for designing the above beam in excel 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

  • E = modulus of elasticity, psi or MPa
  • I = second moment of area, in4 or m4
  • 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