The maximum bending moment in a fixed beam of span ‘L’ carrying a uniformly distributed load ‘w’ over entire span occurs at supports and equals:
Aw * L² / 8
Bw * L² / 12
Cw * L² / 24
Dw * L² / 16
Explanation
For a fixed beam under UDL w: Support fixed moments M_fixed = w * L² / 12 (hogging). Midspan moment M_center = w * L² / 24 (sagging).

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