Formula and input notes
End reaction = (uniform load × span + center point load) ÷ 2; maximum moment = wL² ÷ 8 + PL ÷ 4
| Input | Practical note |
|---|---|
| Beam span | Use the clear or effective simply supported span intended by the analysis model; support and bearing geometry can change that definition. |
| Uniform load | Enter a line load distributed over the full span in pounds per foot, including self-weight if the load case requires it. |
| Center point load | This load is assumed to act at midspan. A point load elsewhere produces different reactions and moment. |
Worked beam load example
Beam Load Calculator example: Each support reaction is (40 × 9.7 + 0) ÷ 2 = 194 lb. Maximum moment is 40 × 9.7² ÷ 8 + 0 × 9.7 ÷ 4 = 470 lb-ft.
Read the end reactions and maximum moment
Use the numbers only to check elementary statics or communicate a preliminary load case to the designer.
Loads and member checks outside this model
Off-center loads, partial uniform loads, multiple point loads, cantilevers, continuity, self-weight, lateral-torsional behavior, load combinations, and connection eccentricity are excluded.
Questions specific to this calculation
What beam and load case does this calculator solve?
It assumes one simply supported span with a full-length uniform load and one point load at midspan. The reactions are symmetric, and the displayed maximum moment combines wL²/8 with PL/4.
Can the result be used to select a beam?
No. The tool does not check shear, deflection, material resistance, lateral stability, connections, bearing, load combinations, or code-required factors. A qualified designer must define loads and verify the member.