Continuous Beam – Two Equal Spans with Central Point Loads

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StructX Calculator
Beam Calculator Input Units:
Length of Span, L:
Load on Beam, P:
Point of Interest, x:
R1=V1=R3=V3:
Resultant, R2:
Shear (max), V2:
Moment, M1:
Moment, M2:
Moment, Mx:
Remember: 1m = 1000mm ; 1N/mm = 1000N/m ; 1Nm = 1000Nmm
1ft = 12in ; 1lbf.ft = 12lbf.in ; 12lbf/ft = 1lbf/in

The above beam deflection and resultant 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

Continuous Beam – Two Equal Spans with Point Loads Centrally Located Over Both Spans

Need an excel spreadsheet for designing the above beam, click here!

Notation and Units

Metric and Imperial Units

The above beam design and deflection equations may be used with both imperial and metric units. As with all calculations/formulas 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

  • 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
  • x = horizontal distance from reaction point, in or m