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
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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
a & b = distance to point load, in or m
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
x = horizontal distance from reaction point, in or m
spreadsheet for designing the above beam, click