Probable Maximum Moment

Probable maximum moment at the plastic hinge location

$M_{pr} = C_{pr} \cdot R_{y} \cdot F_{y} \cdot Z_{e}$

$M_{pr} = 1.15 \cdot 1.1 \cdot 50 ksi \cdot 200 {in}^{3}$

$M_{pr} = 12650 kip \cdot in$

M_pr	Probable maximum moment at the plastic hinge
C_pr	Factor to account for peak connection strength (strain hardening) per AISC 358. C_pr= (F_y+F_u)/(2F_y) ≤ 1.2
R_y	Ratio of expected yield stress to the specified minimum yield stress
F_y	Specified minimum yield stress
Z_e	Effective plastic section modulus of section at the plastic hinge

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