Plastic hinges to NEN

For IPE sections

Axis	Condition
yy	n / 0.18 + r <= 1	Mpl,y,d
yy	a <=0.18	Mpl,y,d
yy	a >0.18	Mpl,y,d 1.22 (1-n)
yy	r<=0.3	Mpl,y,d
yy	r>0.3	Mpl,y,d (1.1-0.3 n)
zz	n <=0.36	Mpl,z,d
zz	n >0.36	Mpl,z,d (1-((n-0.36) / 0.64)2)
zz	r<=0.3	Mpl,z,d
zz	r>0.3	Mpl,z,d (1.1-0.3 n)

For other sections

Axis	Condition
yy	n / 0.10 + r <= 1	Mpl,y,d
yy	n <=0.10	Mpl,y,d
yy	n >0.10	Mpl,y,d 1.11 (1-n)
yy	r<=0.3	Mpl,y,d
yy	r>0.3	Mpl,y,d (1.1-0.3 n)
zz	n <=0.20	Mpl,z,d
zz	n >0.20	Mpl,z,d (1-((n-0.20) / 0.80)2)
zz	r<=0.3	Mpl,z,d
zz	r>0.3	Mpl,z,d (1.1-0.3 n)

where:

r	V / Vpl,d
a	N / Npl,d
A	axial force
V	shear force
Mpl,y,d	full plastic moment around yy axis
Mpl,z,d	full plastic moment around zz axis
Vpl,d	plastic shear force
Npl,d	plastic axial force