Simple Beam - Central Point Load and Variable End Moments
spreadsheet for designing the above beam, click Notation and Units
Metric and Imperial Units
Page last modified on: 04/07/2024 05:28:50
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
- 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