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Calculate normal stress in a section, with known section modulus, due to bending caused by distributed load over its full length
Section modulus of the beam
$$ W_{y_{section}} = 10000 \:
mm^3 $$
Bending stress
$$ \sigma_{bend_{d_{max_{full}}}} = {10 ^ 3 \cdot {M_{B_{d_{max_{full}}}} \over W_{y_{section}}}} \:, MPa $$