Plastic hinges to DIN 18800

Axis

Axial load

V =<0.33 V_

V>0.33 V_

yy

N =<0.10 Npl,d

Mpl,y,d

Mpl,y,d (1.136-0.42r)

yy

N >0.10 Npl,d

Mpl,y,d 1.111 (1-n)

Mpl,y,d (1.25-1.113 n -

- 0.4125 r)

 

Axis

Axial load

V =<0.25 V_

V>0.25 V_

zz

N =<0.30 Npl,d

Mpl,z,d

Mpl,z,d (1-0.82r2) / 0.95

zz

N >0.30 Npl,d

Mpl,z,d (1-n2) / 0.91

Mpl,z,d (1-0.95 n2 -

- 0.75 r2)/0.87

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