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

 

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