Construction

Beam Load Calculator

Find max moment and support reactions for a distributed load.

Calculated Output

Max moment (N·m) 250

Each reaction (N) 1,000

Formula: M_max = w·L² ÷ 8 ; R = w·L ÷ 2

Step-by-Step Breakdown

1. Values used:

2. Uniform load (w) = 2,000 N/m

3. Span (L) = 1

5. Max moment = 250N·m

6. Each reaction = 1,000N

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The math behind it

Max moment = w × L² ÷ 8; each support reaction = w × L ÷ 2.

2,000 N/m over 4 m → 4,000 N·m; 4,000 N each end.

Beam size?

Compare the moment to the beam's capacity via bending stress.