Solve point load behavior with practical beam outputs. Review reactions, peak moment, shear, and deflection. Use clean inputs and exports for faster engineering checks.
| Input or Output | Example Value |
|---|---|
| Point load | 1000 N |
| Span length | 4 m |
| Load position from left | 1.5 m |
| Elastic modulus | 200 GPa |
| Second moment of area | 8.5 × 10-6 m4 |
| Section modulus | 5 × 10-4 m3 |
| Left reaction | 625 N |
| Right reaction | 375 N |
| Maximum bending moment | 937.5 N·m |
| Deflection at load point | 0.000689 m |
| Bending stress | 1.875 MPa |
This calculator models a simply supported beam carrying one concentrated load.
| Quantity | Formula |
|---|---|
| Right-side distance | b = L - a |
| Left reaction | R1 = P × b / L |
| Right reaction | R2 = P × a / L |
| Maximum bending moment | Mmax = P × a × b / L |
| Deflection at load point | δ = P × a² × b² / (3 × E × I × L) |
| Beam stiffness at load point | k = P / δ |
| Strain energy | U = 0.5 × P × δ |
| Bending stress | σ = Mmax / Z |
Here, P is the point load, L is the span, a is the load distance from the left support, b is the remaining distance to the right support, E is elastic modulus, I is second moment of area, and Z is section modulus.
A point load is a concentrated force applied at one location. It creates support reactions, internal shear, bending moment, and beam deflection. This point load calculator helps students, analysts, and engineers evaluate those effects quickly. It is useful for physics exercises, beam checks, and classroom problem solving.
The calculator assumes a simply supported beam with one concentrated load. It finds the left reaction, right reaction, segment shear, maximum bending moment, and deflection at the load point. It also estimates beam stiffness and strain energy. When section modulus is entered, the tool also returns bending stress.
Load position changes the response strongly. A centered force often creates symmetric reactions. An off-center force produces unequal reactions and shifts the peak moment location. Deflection also changes with load position. This is why the distance from the left support is a key input for any point load calculation.
Elastic modulus controls stiffness. A higher modulus usually reduces deflection. The second moment of area also matters because it represents resistance to bending. Larger inertia values reduce beam flexibility. Section modulus relates moment to bending stress. Together, these properties connect load, shape, and material behavior in one beam model.
This calculator supports physics homework, quick beam screening, and report preparation. It can help compare span options, check the effect of moving a load, and review whether a section is stiff enough. The export buttons make it easier to save results for documentation, assignments, and design discussions.
The formulas are based on linear elastic behavior and a single concentrated load on a simply supported beam. They are excellent for study, estimation, and early checks. For complex supports, multiple loads, or nonlinear behavior, a more detailed structural model should be used.
It computes support reactions, shear values, maximum bending moment, deflection at the load point, beam stiffness, strain energy, and optional bending stress for a simply supported beam.
A point load is a concentrated force applied at one location instead of being spread over a length. It causes sharp changes in shear and affects moment and deflection.
Yes. The calculator accepts multiple load, length, modulus, inertia, and section modulus units. It converts values internally before computing the result.
Load position changes both support reactions and bending response. Moving the force closer to one support reduces one reaction and increases the other.
The calculator still works. It will show reactions, moment, and deflection. Only the bending stress value is skipped when section modulus is not entered.
This version reports deflection at the load point. For many checks, that value is very useful. Overall maximum deflection may occur elsewhere for off-center loading.
Yes. Use the CSV button to export the output table. Use the PDF button to open the browser print flow and save the page as a PDF.
It is best for learning, screening, and preliminary checks. Final approval should consider code requirements, support conditions, safety factors, and detailed structural analysis.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.