Beam Load Calculator
Calculate support reactions and bending moments on a beam with concentrated loads and distributed loads. Engineering calculator for statics, structural analysis, and civil engineering students. Includes shear force and bending moment diagrams for simply supported and cantilever beams.
Support Reactions for Concentrated Load
RA = (P × b) / L, RB = (P × a) / LVariables:
- PConcentrated load (N)Concentrated load (N)
- aDistance from support A (m)Distance from support A (m)
- bDistance from support B (m)Distance from support B (m)
- LTotal beam length (m)Total beam length (m)
- RASupport reaction at A (N)Support reaction at A (N)
- RBSupport reaction at B (N)Support reaction at B (N)
How to Use the Beam Load Calculator
- 1
Enter Load
Enter the concentrated load P in newtons (N).
- 2
Enter Dimensions
Enter distances a, b, and total length L in meters.
- 3
Calculate
Get support reactions RA and RB.
Examples
Simply Supported Beam
Problem:
P = 1000 N, a = 2 m, b = 3 m, L = 5 m. Find RA and RB?
Solution:
- 1.RA = (1000 × 3) / 5 = 600 N
- 2.RB = (1000 × 2) / 5 = 400 N
Result:RA = 600 N, RB = 400 N
Support reaction at A is 600 N and at B is 400 N.
Frequently Asked Questions
What is a simply supported beam?
A beam with two simple supports—typically pinned at one end and roller at the other.
When is this formula valid?
Valid for a statically determinate beam with a single concentrated load.