Steel Design - Nzs 3404

Notes and Thing to be considered:

Axial load is positve compression and negatve ension Spreadshee Spreadshee is able able o calcula calculae e all kind of of I-secton I-secton - as a mae maerr of fac fac i is prepared prepared o o be memdes memdes sow sow All calculatons are based on &'S(")$) chaper #*+*,* and  .ac .a ch h he he fac faco orr k k /wi /wis s res resra rain in sinc since e i need needss o o be be calc calcul ula aed ed usi using ng val value ue fro from m ab able le #0+ #0+0" 0"/1 /120 20 3his 3his spr spr .e need o deermine deermine he value of 6m depending on he siuaton or we can provide he bending bending momen 4m value will be used in some alernatve design provision formulae for combined actons - 5ll his value if

are supplemenary since memdes can model assymmeric beam and fy ! "#$ %pa beam adshee won calculae hem (2  value value a 7uarer 7uarer poins poins of a segmen0 segmen0 8lease 8lease read commena commenary ry chaper chaper # of &'S(")$) &'S(")$) as i provides provides 6m v we wan more economical resuls - leave i blank oherwise0

are supplemenary since memdes can model assymmeric beam and fy ! "#$ %pa beam adshee won calculae hem (2  value value a 7uarer 7uarer poins poins of a segmen0 segmen0 8lease 8lease read commena commenary ry chaper chaper # of &'S(")$) &'S(")$) as i provides provides 6m v we wan more economical resuls - leave i blank oherwise0

alue for some common cases

9:; &A%<

!

3&

S>;9<3

!

B<=ICD .I3E %<%F
?@?@$1,

9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS

TEST RUN - VERIFY WIT !E!"ES %& LOA"S AN" !E!(ER CON"ITION 1$$$$ k& &G !

!a# "CR

$

%&''

H xx

!

+1+$

mm

fyf

!

"#$

m8a

%Gx !

#$$

k& m

H yy

!

+1+$

mm

fyw

!

"#$

m8a

%Gy !

1#$

k& m

H

!

+1+$

mm

fu

!

)#$

m8a

BG !

$$

k&

<

!

@$#$$$ m8a

ompressed ange %Gm !

#$$

k& m

k

!

101@

%G@ !

1@#

k& m

kl

!

1

%G" !

@#$

k& m

kr

!

1

%G) ! 6m !

",# 10@

k& m

ke 6m

!

1

d !

"#$

mm

A

!

#@##$

mm@

cx

!

$

mm

b !

)$$

mm

x

!

@$$0#

mm

cy

!

$01)

mm

bb !

)$1

mm

y

!

1,)0+ mm

Iw

!

10@
 !

#$

mm

Ixx

!

K0,#
Sx

!

+0,K
b !

#$

mm

Iyy

!

#0"
Sy

!

)01,
w !

#$

mm

9

!

)0"
'x

!

#0#+
rx

!

1"+01

'y

!

@0+
ry

!

1$101

!

!

3:8

4m-x

!

$

4m-y

!

$

Ghis will overwrie he value on he le

)& SECTION *RO*ERTIES

3ype !

.;

'& (EN"IN+ AN" SEAR CA*ACITY - N,S'. C&/ Major x-axis slenderness parameter

3op Clange slenderness parameer Ls Le ! b ?  G s7r /fy ? @#$2

NZS:3404 - 5.2.2.1

! /)$$ - #$2 ? @ ? #$ G s7r /"#$ ? @#$2 ! )01) Ley ! 1)

for heavily welded seel secton ange

NZS:3404 - Table 5.2

Le ? Ley ! $0@K+ ;oom Clange slenderness parameer Ls Le ! bb ? b G s7r /fy ? @#$2

NZS:3404 - 5.2.2.1

! /)$1 - #$2 ? @ ? #$ G s7r /"#$ ? @#$2 ! )01# Ley ! 1)



Le ? Ley ! $0@K+ .eb slenderness parameer Ls Le ! dw ? w G s7r /fy ? @#$2

NZS:3404 - 5.2.2.1

! /"#$ - #$ - #$2 ? #$ G s7r /"#$ ? @#$2 ! #0K@ Ley ! 1"$

file:///conversion/tmp/scratch/362140164.xlsx

for unsymmerical secton := weak axis bending exiss

)

Le ? Ley ! $0$)+ 9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS

TEST RUN - VERIFY WIT !E!"ES

!a# "CR

$

%&''

ritcal slenderness - maMor x-axis %ax Le ? Ley ! $0@K+

---N

boh ange critcal

---N

Sec0on is co12act

Ls secton ! )01) Lsp !  Lsy ! 1) 31a4or #-a#is5

secton in x-axis mm)

NZS:3404 - 5.2.2.3 - 5.2.2.5

Le ! b ?  G s7r /fy ? @#$2

NZS:3404 - 5.2.2.1

'ex ! +0,K
3op Clange slenderness parameer Ls ! /)$$ - #$2 ? @ ? #$ G s7r /"#$ ? @#$2 ! )01) Ley ! @@



Le ? Ley ! $01 ;oom Clange slenderness parameer Ls Le ! bb ? b G s7r /fy ? @#$2

NZS:3404 - 5.2.2.1

! /)$1 - #$2 ? @ ? #$ G s7r /"#$ ? @#$2 ! )01# Ley ! @@



Le ? Ley ! $01K .eb slenderness parameer Ls Le ! dw ? w G s7r /fyw ? @#$2

NZS:3404 - 5.2.2.1

! /"#$ - #$ - #$2 ? #$ G s7r /"#$ ? @#$2 ! #0K@ Ley ! 1"$


Le ? Ley ! $0$)+ ritcal slenderness - minor y-axis %ax Le ? Ley ! $01K

---N

boom ange critcal

---N

Sec0on is co12act

Ls secton ! )01# Lsp !  Lsy ! @@ 31inor 6-a#is5


secton in y-axis mm)

NZS:3404 - 5.2.2.3 - 5.2.2.5

#

9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS


!a# "CR

$

%&''

Se!on moment apaity - major x-axis

%sx ! fyf G 'ex

NZS:3404 - e" 5.2.1

! "#$ G +,,",0# ? 1$$$$$$ %sx ! @",+0$+

k& m

T%sx ! @1"0)#

k& m

%Gx ! #$$

k& m

F= ! $0@"

--N

ok

Se!on moment apaity - minor y-axis

%sy ! fyf G 'ey

NZS:3404 - 5.1.2

! "#$ G )$@)#$,0#@ ? 1$$$$$$ %sy ! 1)$0#

k& m

T%sy ! 1@+,0,@

k& m

%Gy ! 1#$

k& m

F= ! $01@

--N

ok

Nominal member moment apaity o# se$ments - major x-axis only

P%bx ! 6m G 6s G %sx

Q!

%sx

NZS:3404 - e" 5.%.1.1&1'

6m ! 10@ 6s ! $0+ G /s7r / /%sx ? %oa2R@ J "2 - /%sx ? %oa22

NZS:3404 - e" 5.%.1.1&3'

%sx ! @",+0$#+ k& m NZS:3404 - (" 5.%.1.2 .e have an I secton wih une7ual ange /monosymmerc secton2 %oa ! s7r / /pi/2R@ G < G Iy ? HeR@22 G / s7r /G 92 J /pi/2R@ G < G Iw ? HeR@2 J /bxR@ G pi/2R@ G < G Iy ? ) ? HeR@2 2 J bx ? @ G s7r /pi/2R@ G < G Iy ? He R @2

Iy ! #0"
mm)

Iw ! df @ G b" G  G 6 ? 1@

SS)* - 1++,

df ! disance beween ange cenroids 6 ! 1 ? /1 J /b ? bb2R" G / ? b22 ! 1 ? /1 J /)$$ ? )$12R" G /#$ ? #$22 ! $0# Iw ! /"#$ - #$ ? @ - #$ ? @2R@ G )$$R" G #$ G $0# ? 1@ ! 10@$$
mm+

< ! @$#$$$

m8a

 ! $$$$

m8a

9 ! /bb G bR" J b G R" J /d -  - b2 G w2 ? " ! /)$1 G #$R" J )$$ G #$R" J /"#$ - #$ - #$2 G #$R"2 ? " ! )",K1+++0+,

mm)

He ! k G kr G kl G H

NZS:3404 - 5.%.3.1

! 101@ G 1 G 1 G +1+$ ! +KK0@

mm

Collowing propertes will be needed only if we have une7ual ange 4x ! $0 df G / /@ G Icy ? Iy2 - 12

NZS:3404 - 5.%.1.2.2

df ! "#$ - #$ ? @ - #$ ? @ ! "$$ Icy ! @++++++++0+,

mm mm)

4x ! $0 G "$$ G / /@ G @++++++++0+, ? #",K)@#$)01,2 - 12


+

! -@0$+

mm 9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS


!a# "CR

$

%&''

NZS:3404 - (" 5.%.1.2 =eference buckling momen %o ! s7r / pi/2R@ G < G Iy ? HeR@2 G / s7r / /G 92 J /pi/2R@ G < G Iw ? HeR@2 J /bxR@ G pi/2R@ G < G Iy ? ) ? HeR@2 2 2 J bx ? @ G s7r /pi/2R@ G < G Iy ? He R @2

! K#,K0,# k& m NZS:3404 - e" 5.%.1.1&3' 6s ! $0+ G / /s7r / /%sx ? %oa2R@ J "2 - /%sx ? %oa22 ! $0+ G / /s7r /@",+0$+ ? K#,K0,#2R@ J "2 - /@",+0$+? K#,K0,#2 2

! $0K 6m G 6s ! 10@ G $0K ! 10+"

--N

%bx ! 6m G 6s G %sx

Seg1ent is 78996 9atera9 restrained

Q!

%sx

! 10@ G $0K G @",+0$+ ! @",+0$+

k& m

T%bx ! @1"0)#

k& m

%Gx ! #$$

k& m

F= ! $0@"

--N

ok

Sear alla!ons &ns!/ened eb'

heck web sockiness

NZS:3404 - 5.11.2.1

dp ? w U @ ? /s7r /fc ? @#$22 @#$ ? #$ U @ ? /s7r /"#$ ? @#$22 # Q +K0"

--N

Web is stoc6

Bvu ! Bw Bw ! $0+ G fyw G Aw

NZS:3404 - 5.11.4.1

! $0+ G "#$ G /"#$ - #$ - #$2 G #$ ? 1$$$ ! @+@#

k&

Bb ! 6v G Bw

Q!

Bw

NZS:3404 - 5.11.5.1

6v ! /@ ? / /dp ? w2 G s7r /fyw ? @#$2 2 2R@ ! /@ ? / /"#$ - #$ - #$2 ? #$ G s7r /"#$ ? @#$ 2 2 2R@ ! 1K@011 Bb ! &?A

k&

TBvu ! $0K G @+@# ! @"+@0#

k&

BG ! $$

k&

F= ! $0")

--N

ok

Shear-bending ineracton %G ? T%sx ! $0@"

NZS:3404 - 5.12.2

Q

$0,# --N

Shear-bending ineracton need no o be considered

Bvm ! Bv G /@0@ - /10+%Gx ? T%sx22 ! @"+@0# G /@0@ - /10+ G #$$ ? $0K G @",+0$+2 2 ! @"+@0# BG ! $$


k& k&

,

F= ! $0")


--N

ok



9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS


!a# "CR

$

%&''

& A;IAL CA*ACITY - N,S'. C&< 3CO!*RESSION5 AN" C&= 3TENSION5 Tension member - assme end plate onne!on sed #or tension member n  $

&ominal secton capaciy of ension member & ! min /Ag G fy* $0# G ke G An G fu2

NZS:3404 - .2.1

! min /#@##$ G "#$* $0# G 1 G #@##$ G )#$2 ? 1$$$ ! 1"K@0#

k&

T& ! $0K G 1"K@0# ! 1+##"0@#

k&

&G ! $

k&

no ension load

F= ! $

--N

ok

*ompression member - assme end plate onne!on sed no penetra!on n  $

&ominal secton capaciy of compression member

NZS:3404 - e" %.2.1

&s ! kf G An G fyaverage

NZS:3404 - %.2.2

kf ! Ae ? Ag Ae ! Area of individual a plae elemens having eOectve widh be ! b G /Ley ? Le2 Q! b 3op ange Le ! )01) Ley ! 1) Ag op g ! @$$$$

for heavily welded seel secton ange mm@

Ae op g ! Ley ? Le G b G  ! @$$$$

Q!

Ag op g

mm@

;oom ange Le ! )01# Ley ! 1) Ag bo g ! @$$#$


Ae bo g ! Ley ? Le G bb G b ! @$$#$

Q!

Ag bo g

mm@

.eb Le ! #0K@ Ley ! "# Ag web ! 1@#$$


Ae web ! Ley ? Le G /d--b2 G w ! 1@#$$

Q! Ag web

mm@

Ae oal ! @$$$$ J @$$#$ J 1@#$$ ! #@##$

mm@

kf ! #@##$ ? #@##$ ! 10$$$ &s ! 1 G #@##$ G /"#$ J "#$2 ? @ ? 1$$$ ! 1"K@0# T&s ! 1+##"0@#

k& k&

&G ! 1$$$$


K

F= ! $0+


--N

ok

1$

9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS


!a# "CR

$

%&''

&ominal compression member capaciy %aMor x-axis He xx ! ke G H xx

NZS:3404 - %.3.2

! 1 G +1+$ ! +1+$

mm

Ln x ! /He xx ? rx2 G s7r /kf2 G s7r /fy ? @#$2

NZS:3404 - %.3.3

! /+1+$ ? 1"+012 G s7r /12 G s7r /"#$ ? @#$2 ! #"0#@ 6a ! @1$$ G /Ln x - 1"0#2 ? /Ln xR@ - 1#0" G Ln x J @$#$2 ! @1$$ G /#"0#@ - 1"0#2 ? /#"0#@R@ - 1#0" G #"0#@ J @$#$2 ! @$0#@ 6b ! $ Lx ! Ln x J 6a G 6b ! #"0#@ J @$0#@ G $ ! #"0#@ Vx ! max / $0$$"@+ G /Lx - 1"0#2 * $2 ! $01"$$$ Wx ! / / Lx ? K$2R@ J 1 J V 2 ? /@ G /Lx ? K$2R@2 ! / /#"0#@ ? K$2 R @ J 1 J $01"2 ? /@ G /#"0#@ ? K$2 R @2 ! @0$K$ 6c x ! Wx G / 1 - / s7r /1 - /K$ ? Wx ? Lx2R@ 2 2 ! @0$K G /1 - /s7r / 1 - /K$ ? @0$K ? #"0#@2R@ 2 2 ! $0)" %inor y-axis He yy ! ke G H yy

NZS:3404 - %.3.2

! 1 G +1+$ ! +1+$

mm

Ln y ! /He yy ? ry2 G s7r /kf2 G s7r /fy ? @#$2

NZS:3404 - %.3.3

! /+1+$ ? 1$1012 G s7r /12 G s7r /"#$ ? @#$2 ! ,@0$) 6a ! @1$$ G /Ln y - 1"0#2 ? /Ln yR@ - 1#0" G Ln y J @$#$2 ! @1$$ G /,@0$) - 1"0#2 ? /,@0$)R@ - 1#0" G ,@0$) J @$#$2 ! @$0$" 6b ! $ Ly ! Ln y J 6a G 6b ! ,@0$) J @$0$" G $ ! ,@0$) Vy ! max / $0$$"@+ G /Ly - 1"0#2 * $2 ! $01K1$$ Wy ! / / Ly ? K$2R@ J 1 J Vy 2 ? /@ G /Ly ? K$2R@2 ! / /,@0$) ? K$2 R @ J 1 J $01K12 ? /@ G /,@0$) ? K$2 R @2 ! 10)@K$ 6c y ! Wy G / 1 - / s7r /1 - /K$ ? Wy ? Ly2R@ 2 2


11

! 10)@K G /1 - /s7r / 1 - /K$ ? 10)@K ? ,@0$)2R@ 2 2 ! $0,"# 9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS


!a# "CR

$

%&''

6c min ! min /6c x* 6c y2 ! $0,"# &c min ! 6c min G &s

NZS:3404 - %.3.3

! $0,"# G 1"K@0# ! 1"#10)K

k&

T&c ! 1@1++0+)

k&

&G ! 1$$$$

k&

F= ! $0@@

--N

ok

& CO!(INE" ACTIONS CA*ACITY 3N,S'.: C&>5 Si$ni6ant axial #ore e7

NZS:3404 - ,.1.4&a'

&G ! 1$$$$

k&

T&s ! 1+##"0@# &G ! $0+$

compression load

k& T&s

%Gy ! 1#$

--N

combined actons need o be checked

k& m minor y-axis bending exiss

T&cy ! 1@1++0+) &G ! $0@

NZS:3404 - ,.1.4&b'

k& m T&cy --N


8ased on l ,.1.4 e7 e need to e7 ombined a!ons9 ppliability o# alterna!e desi$n proisions

Is he member doubly symmericU

&

Is he secton compacU

D

Are he plae elemen slenderness for each plae no exceeding value from able 01U Balue Himi 3op g Le

!

)01)

Q

K

D

;o g Le

!

)01#

Q

K

D

.eb Le

!

)

Q

@

D

D

Is he member subMec o axial ensionU

&

is he form facor /kf2 uniyU

D

NZS:3404 - ,.1.5&a' NZS:3404 - ,.1.5&b'

D

NZS:3404 - ,.1.5&'

Foes he design compression force comply wih e7 010#U &G !

1$$$$

k&

T&s ! 1+##"0@#

k&

&G ? T&s U 10K - /d1 ? w G s7r /fyw ? @#$2 ? )#

D D

$0+ U 10K - /"$$ ? #$ G s7r / "#$ ? @#$2 ? )# $0+ Q

10,)

*e7 #ails alterna!e desi$n proision an;t be sed


1@

9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS


!a# "CR

$

%&''

*ombined a!ons - se!on apaity

>niaxial x-axis bending %Gx ! #$$

k& m

NZS:3404 - ,.3.2.1

%rx ! %sx G /1 - &G ? T&s2 ! @",+0$+ G / 1 - 1$$$$ ? 1+##"0@#2 ! K)$0++

k& m

T%rx ! )+0#K

k& m

Alernatve design provision

can?t be 8sed

%rx ! 101 G %sx G /1 - &G ? T&s2 ! 11$K0K

NZS:3404 - ,.3.2.2

Q! %sx

k& m

T%rx ! KK0K

k& m

%rx used ! K)$0++

k& m

%Gx ! #$$

k& m

F= ! $0#K

--N

ok

>niaxial y-axis bending %Gy ! 1#$

k& m

NZS:3404 - ,.3.3.1

%ry ! %sy G /1 - &G ? T&s2 ! 1)$0# G / 1 - 1$$$$ ? 1+##"0@#2 ! ##,0+)

k& m

T%ry ! #$10

k& m


can?t be 8sed

%ry ! 101K G %sy G /1 - &G ? T&s2R@ ! 1$+)0)

NZS:3404 - ,.3.3.2

Q! %sy

k& m

T%ry ! K#0$"

k& m

%ry aken ! ##,0+)

k& m

%Gy ! 1#$

k& m

F= ! $0"

--N

ok

;iaxial bending &G ? T&s J %Gx ? T%sx J %Gy ? T%sy Q!1

NZS:3404 - ,.3.4.1

1$$$$ ? 1+##"0@# J #$$ ? @",+0$+ J 1#$ ? 1)$0# Q! 1 ! $0K@1 F= ! $0K@1 Alernatve design provision

Q1 --N

ok

can?t be 8sed

/%Gx ? T%rx2RX J /%Gy ? T%ry2RX Q!1 X ! 10) J /&G ? T&s2 ! 10) J /1$$$$ ? 1+##"0@#2

NZS:3404 - ,.3.4.2

Q! @ Q! @

! @ /#$$ ? 11$K0K ? $0K2 R @ J /1#$ ? ##,0+)? $0K 2 R @ ! $0))


Q1

1"

F= !


--N

no alernatve design provision

1)

9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS


!a# "CR

$

%&''

*ombined a!ons - member in-plane apaity

%aMor x-axis bending %ix ! %sx G /1 - &G ? T&c-x2* where

NZS:3404 - ,.4.2.2.1

T&c-x ! nominal member axial compression capaciy wih ke ! 1 Hex ! ke G H xx

NZS:3404 - %.3.2

! 1 G +1+$ ! +1+$

mm

Ln x ! /Hex ? rx2 G s7r /kf2 G s7r /fy ? @#$2

NZS:3404 - %.3.3

! /+1+$ ? 1"+012 G s7r /12 G s7r /"#$ ? @#$2 ! #"0#@ 6a ! @1$$ G /Ln x - 1"0#2 ? /Ln xR@ - 1#0" G Ln x J @$#$2 ! @1$$ G /#"0#@ - 1"0#2 ? /#"0#@R@ - 1#0" G #"0#@ J @$#$2 ! @$0#@ 6b ! $ Lx ! Ln x J 6a G 6b ! #"0#@ J @$0#@ G $ ! #"0#@ Vx ! max / $0$$"@+ G /Lx - 1"0#2 * $2 ! $01"$$$ Wx ! / / Lx ? K$2R@ J 1 J V 2 ? /@ G /Lx ? K$2R@2 ! / /#"0#@ ? K$2 R @ J 1 J $01"2 ? /@ G /#"0#@ ? K$2 R @2 ! @0$K$ 6c x ! Wx G / 1 - / s7r /1 - /K$ ? Wx ? Lx2R@ 2 2 ! @0$K G /1 - /s7r / 1 - /K$ ? @0$K ? #"0#@2R@ 2 2 ! $0)" &c-x ! $0)" G 1"K@0# ! 1##$)0

k&

T&c-x ! 1"K#)0"K

k&

%ix ! @",+0$+ G /1 - 1$$$$ ? 1"K#)0"K2 ! +,"0"" Alernatve design provision

k& m can?t be 8sed

NZS:3404 - ,.4.2.2.2

%ix ! %sx G / /1 - / / /1 J 4m2 ? @2R"2 G /1 - &G ? T&cx2 J 101 G / / /1 J 4m2 ? @2R"2 G s7r /1 - &G ? T&cx2 2 Q!%rx ! @",+0$+ G / /1 - / / /1 J $2 ? @2R"2 G /1 - 1$$$$ ? 1"K#)0"K2 J 101 G / / /1 J $2 ? @2R"2 G s7r /1 - 1$$$$ ? 1"K#)0"K2 2 Q! %rx ! ,,#0,"

k& m

%ix aken ! +,"0""

k& m

T%ix ! +$+

k& m

%Gx ! #$$

k& m

F= ! $0"

--N


ok

1#

9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS


!a# "CR

$

%&''


%aMor y-axis bending %iy ! %sy G /1 - &G ? T&c-y2* where

NZS:3404 - ,.4.2.2.1

T&c-y ! nominal member axial compression capaciy wih ke ! 1 Hey ! ke G H yy

NZS:3404 - %.3.2

! 1 G +1+$ ! +1+$

mm

Ln y ! /Hey ? ry2 G s7r /kf2 G s7r /fy ? @#$2

NZS:3404 - %.3.3

! /+1+$ ? 1$1012 G s7r /12 G s7r /"#$ ? @#$2 ! ,@0$) 6a ! @1$$ G /Ln y - 1"0#2 ? /Ln yR@ - 1#0" G Ln y J @$#$2 ! @1$$ G /,@0$) - 1"0#2 ? /,@0$)R@ - 1#0" G ,@0$) J @$#$2 ! @$0$" 6b ! $ Ly ! Ln y J 6a G 6b ! ,@0$) J @$0$" G $ ! ,@0$) Vy ! max / $0$$"@+ G /Ly - 1"0#2 * $2 ! $01K1$$ Wy ! / / Ly ? K$2R@ J 1 J V 2 ? /@ G /Ly ? K$2R@2 ! / /,@0$) ? K$2 R @ J 1 J $01K12 ? /@ G /,@0$) ? K$2 R @2 ! 10)@K$ 6c y ! Wy G / 1 - / s7r /1 - /K$ ? Wy ? Ly2R@ 2 2 ! 10)@K G /1 - /s7r / 1 - /K$ ? 10)@K ? ,@0$)2R@ 2 2 ! $0,"# &c-y ! $0,"# G 1"K@0# ! 1"#10)K

k&

T&c-y ! 1@1++0+)

k&

%iy ! 1)$0# G /1 - 1$$$$ ? 1@1++0+)2 ! @#$0) Alernatve design provision

k& m can?t be 8sed

NZS:3404 - ,.4.2.2.2

%iy ! %sy G / /1 - / / /1 J 4m2 ? @2R"2 G /1 - &G ? T&cy2 J 101 G / / /1 J 4m2 ? @2R"2 G s7r /1 - &G ? T&cy2 2 Q!%ry ! 1)$0# G / /1 - / / /1 J $2 ? @2R"2 G /1 - 1$$$$ ? 1@1++0+)2 J 101 G / / /1 J $2 ? @2R"2 G s7r /1 - 1$$$$ ? 1@1++0+)2 2 Q! %ry ! "$,01+

k& m

%iy aken ! @#$0)

k& m

T%iy ! @@#0,+

k& m

%Gy ! 1#$

k& m

F= ! $0++

--N


ok

1+

9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS


!a# "CR

$

%&''

*ombined a!ons - member ot-o#-plane apaity

heck of ou-of-plane member capaciy needs o be done only when member is no fully laerally resrained0 6m G 6s ! 10+"

--N

Segmen is fully laeral resrained

--N

&o need o check ou-of-plane member capaciy

Cor compression member( %ox ! %bx G /1 - &G ? T&c-y2

NZS:3404 - ,.4.4.1.1

! @",+0$+ G /1 - 1$$$$ ? 1@1++0+)2 ! )@"01"

k& m


can?t be 8sed

NZS:3404 - ,.4.4.1.2

%ox ! 6bc G %bxo G s7r / /1 - &G ? T&cy2 G /1 - &G ? T&oY2 2 6bc ! 1 ? / / /1 - 4m2 ? @2 J/ /1 J 4m2 ? @2R"2 G /$0) - $0@" G &G ? T&cy2 ! 1 ? / / /1 - $2 ? @2 J/ /1 J $2 ? @2R"2 G /$0) - $0@" G 1$$$$ ? 1@1++0+)2 ! 10K %bxo ! 6m G 6s G %sx

--N 6m is aken as uniy

! 1 G $0K G @",+0$+ ! @1"0)#

k& m

&oY ! / G 9 J /pi/2R@ G < G Iw ? HYR@2 2 ? / /Ix J Iy2 ? A2  ! $$$$ 9 ! )",K1+++0+, Iw ! 10@
%pa mm) mm+

Ixx ! K,)#,1)+0+), mm) Iyy ! #",K)@#$)01,

mm)

HY ! +1+$ mm &oY ! /$$$$ G )",K1+++0+, J /pi/2R@ G @$#$$$ G 1@$$$$$$$$$$$$ ? ",K)#+$$2 2 ? / /K,)#,1)+0+)+++, J #",K)@#$)01,2 ? #@##$2 ? 1$$$ ! 1)"K)0"" k& T&oY ! 1@K##"0#

k&

%ox ! 10K G @1"0)# G s7r/ /1 - 1$$$$ ? 1@1++0+)2 G /1 - 1$$$$ ? 1@K##"0#2 2 Q! %rx ! K)$0++

k& m

%ox aken !

k& m

%Gx !

k&m

F= !

--N

Cully laerally resrained - no need o check his

;iaxial bending for compression member

NZS:3404 - ,.4.5.1

/%Gx ? T%cx2R10) J /%Gy ? T%iy2R10) Q!1 %Gx ! #$$

k& m

%cx ! +,"0""

k& m

%Gy ! 1#$

k& m

%iy ! @#$0)

k& m

/#$$ ? $0K ? +,"0""2R10) J /1#$ ? $0K ? @#$0)2R10) Q!1 F= ! 10""


--N

no ok

1,

9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8 SECTION FAILS


!a# "CR

$

%&''

Cor ension member( %ox ! %bx G /1 - &G ? T&2 Q! %rx

NZS:3404 - ,.4.4.2

! @",+0$+ G /1 - 1$$$$ ? $0K ? 1"K@0#2 Q! %rx ! K)$0++

k& m

T%ox !

k& m

%Gx !

k& m

F= !

--N

no ension load

;iaxial bending for ension member

NZS:3404 - ,.4.4.2

/%Gx ? T%x2R10) J /%Gy ? T%ry2R10) Q!1 %Gx !

k& m

%x !

k& m

%Gy !

k& m

%ry !

k& m

/ ? $0K ? 2R10) J / ? $0K ? 2R10) Q!1 F= !


--N

no ension load

1

9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8

TEST RUN - VERIFY WIT !E!"ES %& LOA"S AN" !E!(ER CON"ITION 1#$ &G ! k&

"$$

%Gx ! %Gy !

$$

BG !

!a# "CR

$

.&@

H xx

!

"$$$

mm

fyf

!

"#$

m8a

k& m

H yy

!

"$$$

mm

fyw

!

"#$

m8a

k& m

H

!

"$$

mm

fu

!

)#$

m8a

<

!

k&

@$#$$$ m8a

ompressed ange %Gm !

k& m

k

!

101@

%G@ !

k& m

kl

!

1

%G" !

k& m

kr

!

1

%G) ! 6m !

k& m

ke 6m

!

1

10$$

!

!

;:33:%

4m-x

!

$

4m-y

!

$

Ghis will overwrie he value on he le

)& SECTION *RO*ERTIES

d !

#$$

mm

A

!

1$+$

mm@

cx

!

$

mm

b !

@,#

mm

x

!

1",0#

mm

cy

!

-+"01

mm

bb !

1"$

mm

y

!

"1"01 mm

Iw

! )0##
 !

1+

mm

Ixx

!

"0K+
Sx

!

101
b !

1@

mm

Iyy

!

"0$$
Sy

!

"0+#
w !

1$

mm

9

!

+0$
'x

!

10@+
rx

!

1K@0)

'y

!

@01
ry

!

#@0K,

3ype !

.;

'& (EN"IN+ AN" SEAR CA*ACITY - N,S'. C&/ Major x-axis slenderness parameter

3op Clange slenderness parameer Ls Le ! b ?  G s7r /fy ? @#$2

NZS:3404 - 5.2.2.1

! /@,# - 1$2 ? @ ? 1+ G s7r /"#$ ? @#$2 ! K0 Ley ! 1)



Le ? Ley ! $0, ;oom Clange slenderness parameer Ls Le ! bb ? b G s7r /fy ? @#$2

NZS:3404 - 5.2.2.1

! /1"$ - 1$2 ? @ ? 1@ G s7r /"#$ ? @#$2 ! #0K@ Ley ! 1)



Le ? Ley ! $0)@" .eb slenderness parameer Ls Le ! dw ? w G s7r /fy ? @#$2

NZS:3404 - 5.2.2.1

! /#$$ - 1+ - 1@2 ? 1$ G s7r /"#$ ? @#$2 ! ##0# Ley ! 1"$



1K

Le ? Ley ! $0)" 9:; &A%<

!

3&

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8


?@?@$1,

!a# "CR

$

.&@

ritcal slenderness - maMor x-axis %ax Le ? Ley ! $0,

---N

op ange critcal

---N

Sec0on is non-co12act

Ls secton ! K0 Lsp !  Lsy ! 1) 31a4or #-a#is5

secton in x-axis mm)

NZS:3404 - 5.2.2.3 - 5.2.2.5

Le ! b ?  G s7r /fy ? @#$2

NZS:3404 - 5.2.2.1

'ex ! 10+))
3op Clange slenderness parameer Ls ! /@,# - 1$2 ? @ ? 1+ G s7r /"#$ ? @#$2 ! K0 Ley ! @@



Le ? Ley ! $0))# ;oom Clange slenderness parameer Ls Le ! bb ? b G s7r /fy ? @#$2

NZS:3404 - 5.2.2.1

! /1"$ - 1$2 ? @ ? 1@ G s7r /"#$ ? @#$2 ! #0K@ Ley ! @@



Le ? Ley ! $0@+K .eb slenderness parameer Ls Le ! dw ? w G s7r /fyw ? @#$2

NZS:3404 - 5.2.2.1

! /#$$ - 1+ - 1@2 ? 1$ G s7r /"#$ ? @#$2 ! ##0# Ley ! 1"$


Le ? Ley ! $0)" ritcal slenderness - minor y-axis %ax Le ? Ley ! $0))#

---N

op ange critcal

---N

Sec0on is non-co12act

Ls secton ! K0 Lsp !  Lsy ! @@ 31inor 6-a#is5


secton in y-axis mm)

NZS:3404 - 5.2.2.3 - 5.2.2.5

@$

9:; &A%<

!

3&

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8


?@?@$1,

!a# "CR

$

.&@

Se!on moment apaity - major x-axis

%sx ! fyf G 'ex

NZS:3404 - e" 5.2.1

! "#$ G 1+)"#),0$@ ? 1$$$$$$ %sx ! #,#0@)

k& m

T%sx ! #1,0,@

k& m

%Gx ! "$$

k& m

F= ! $0#

--N

ok

Se!on moment apaity - minor y-axis

%sy ! fyf G 'ey

NZS:3404 - 5.1.2

! "#$ G "1@+0#" ? 1$$$$$$ %sy ! 1$K0#1 T%sy ! K0#+

k& m k& m

%Gy ! $

k& m

F= ! $

--N

ok

Nominal member moment apaity o# se$ments - major x-axis only

P%bx ! 6m G 6s G %sx

Q!

%sx

NZS:3404 - e" 5.%.1.1&1'

6m ! 1 6s ! $0+ G /s7r / /%sx ? %oa2R@ J "2 - /%sx ? %oa22

NZS:3404 - e" 5.%.1.1&3'

%sx ! #,#0@))) k& m NZS:3404 - (" 5.%.1.2 .e have an I secton wih une7ual ange /monosymmerc secton2 %oa ! s7r / /pi/2R@ G < G Iy ? HeR@22 G / s7r /G 92 J /pi/2R@ G < G Iw ? HeR@2 J /bxR@ G pi/2R@ G < G Iy ? ) ? HeR@2 2 J bx ? @ G s7r /pi/2R@ G < G Iy ? He R @2

Iy ! "0$$
mm)

Iw ! df @ G b" G  G 6 ? 1@

SS)* - 1++,

df ! disance beween ange cenroids 6 ! 1 ? /1 J /b ? bb2R" G / ? b22 ! 1 ? /1 J /@,# ? 1"$2R" G /1+ ? 1@22 ! $0$, Iw ! /#$$ - 1+ ? @ - 1@ ? @2R@ G @,#R" G 1+ G $0$, ? 1@ ! )0##
mm+

< ! @$#$$$

m8a

 ! $$$$

m8a

9 ! /bb G bR" J b G R" J /d -  - b2 G w2 ? " ! /1"$ G 1@R" J @,# G 1+R" J /#$$ - 1+ - 1@2 G 1$R"2 ? " ! +$,+$

mm)

He ! k G kr G kl G H

NZS:3404 - 5.%.3.1

! 101@ G 1 G 1 G "$$ ! ""+

mm

Collowing propertes will be needed only if we have une7ual ange 4x ! $0 df G / /@ G Icy ? Iy2 - 12

NZS:3404 - 5.%.1.2.2

df ! #$$ - 1+ ? @ - 1@ ? @ ! )+

mm

Icy ! @1K,$$$

mm)

4x ! $0 G )+ G / /@ G @1K,$$$ ? @KK+##$$2 - 12


@1

! -""10,K

mm 9:; &A%<

!

3&

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8


?@?@$1,

!a# "CR

$

.&@

NZS:3404 - (" 5.%.1.2 =eference buckling momen %o ! s7r / pi/2R@ G < G Iy ? HeR@2 G / s7r / /G 92 J /pi/2R@ G < G Iw ? HeR@2 J /bxR@ G pi/2R@ G < G Iy ? ) ? HeR@2 2 2 J bx ? @ G s7r /pi/2R@ G < G Iy ? He R @2

! @@1##0#) k& m NZS:3404 - e" 5.%.1.1&3' 6s ! $0+ G / /s7r / /%sx ? %oa2R@ J "2 - /%sx ? %oa22 ! $0+ G / /s7r /#,#0@) ? @@1##0#)2R@ J "2 - /#,#0@)? @@1##0#)2 2

! 10$@ 6m G 6s ! 1 G 10$@ ! 10$@

--N

%bx ! 6m G 6s G %sx

Seg1ent is 78996 9atera9 restrained

Q!

%sx

! 1 G 10$@ G #,#0@) ! #,#0@)

k& m

T%bx ! #1,0,@

k& m

%Gx ! "$$

k& m

F= ! $0#

--N

ok

Sear alla!ons &ns!/ened eb'

heck web sockiness

NZS:3404 - 5.11.2.1

dp ? w U @ ? /s7r /fc ? @#$22 ),@ ? 1$ U @ ? /s7r /"#$ ? @#$22 ),0@ Q +K0"

--N

Web is stoc6

Bvu ! Bw Bw ! $0+ G fyw G Aw

NZS:3404 - 5.11.4.1

! $0+ G "#$ G /#$$ - 1+ - 1@2 G 1$ ? 1$$$ ! KK10@

k&

Bb ! 6v G Bw

Q!

Bw

NZS:3404 - 5.11.5.1

6v ! /@ ? / /dp ? w2 G s7r /fyw ? @#$2 2 2R@ ! /@ ? / /#$$ - 1+ - 1@2 ? 1$ G s7r /"#$ ? @#$ 2 2 2R@ ! @01+ Bb ! &?A

k&

TBvu ! $0K G KK10@ ! K@0$

k&

BG ! $$

k&

F= ! $0K$

--N

ok

Shear-bending ineracton %G ? T%sx ! $0#

NZS:3404 - 5.12.2

Q

$0,# --N

Shear-bending ineracton need no o be considered

Bvm ! Bv G /@0@ - /10+%Gx ? T%sx22 ! K@0$ G /@0@ - /10+ G "$$ ? $0K G #,#0@)2 2 ! K@0$ BG ! $$


k& k&

@@

F= ! $0K


--N

ok

@"

9:; &A%<

!

3&

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8


?@?@$1,

!a# "CR

$

.&@

& A;IAL CA*ACITY - N,S'. C&< 3CO!*RESSION5 AN" C&= 3TENSION5 Tension member - assme end plate onne!on sed #or tension member n  $

&ominal secton capaciy of ension member & ! min /Ag G fy* $0# G ke G An G fu2

NZS:3404 - .2.1

! min /1$+$ G "#$* $0# G 1 G 1$+$ G )#$2 ? 1$$$ ! ","

k&

T& ! $0K G "," ! ""+)0@

k&

&G ! $

k&

no ension load

F= ! $

--N

ok

*ompression member - assme end plate onne!on sed no penetra!on n  $

&ominal secton capaciy of compression member

NZS:3404 - e" %.2.1

&s ! kf G An G fyaverage

NZS:3404 - %.2.2

kf ! Ae ? Ag Ae ! Area of individual a plae elemens having eOectve widh be ! b G /Ley ? Le2 Q! b 3op ange Le ! K0 Ley ! 1) Ag op g ! ))$$


Ae op g ! Ley ? Le G b G  ! ))$$

Q!

Ag op g

mm@

;oom ange Le ! #0K@ Ley ! 1) Ag bo g ! 1#+$


Ae bo g ! Ley ? Le G bb G b ! 1#+$

Q!

Ag bo g

mm@

.eb Le ! ##0# Ley ! "# Ag web ! ),@$


Ae web ! Ley ? Le G /d--b2 G w ! @K#,0K@

Q! Ag web

mm@

Ae oal ! ))$$ J 1#+$ J @K#,0K@ ! K1,0K@

mm@

kf ! K1,0K@ ? 1$+$ ! $0"# &s ! $0"# G 1$+$ G /"#$ J "#$2 ? @ ? 1$$$ ! "1@10@"

k&

T&s ! @$K011

k&

&G ! 1#$


@)

F= ! $0$#


--N

ok

@#

9:; &A%<

!

3&

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8


?@?@$1,

!a# "CR

$

.&@

&ominal compression member capaciy %aMor x-axis He xx ! ke G H xx

NZS:3404 - %.3.2

! 1 G "$$$ ! "$$$

mm

Ln x ! /He xx ? rx2 G s7r /kf2 G s7r /fy ? @#$2

NZS:3404 - %.3.3

! /"$$$ ? 1K@0)2 G s7r /$0"#2 G s7r /"#$ ? @#$2 ! 1+0# 6a ! @1$$ G /Ln x - 1"0#2 ? /Ln xR@ - 1#0" G Ln x J @$#$2 ! @1$$ G /1+0# - 1"0#2 ? /1+0#R@ - 1#0" G 1+0# J @$#$2 ! "0"K 6b ! $0# Lx ! Ln x J 6a G 6b ! 1+0# J "0"K G $0# ! 10## Vx ! max / $0$$"@+ G /Lx - 1"0#2 * $2 ! $0$1+$$ Wx ! / / Lx ? K$2R@ J 1 J V 2 ? /@ G /Lx ? K$2R@2 ! / /10## ? K$2 R @ J 1 J $0$1+2 ? /@ G /10## ? K$2 R @2 ! 1@0)#$ 6c x ! Wx G / 1 - / s7r /1 - /K$ ? Wx ? Lx2R@ 2 2 ! 1@0)# G /1 - /s7r / 1 - /K$ ? 1@0)# ? 10##2R@ 2 2 ! $0K) %inor y-axis He yy ! ke G H yy

NZS:3404 - %.3.2

! 1 G "$$$ ! "$$$

mm

Ln y ! /He yy ? ry2 G s7r /kf2 G s7r /fy ? @#$2

NZS:3404 - %.3.3

! /"$$$ ? #@0K,2 G s7r /$0"#2 G s7r /"#$ ? @#$2 ! +10@" 6a ! @1$$ G /Ln y - 1"0#2 ? /Ln yR@ - 1#0" G Ln y J @$#$2 ! @1$$ G /+10@" - 1"0#2 ? /+10@"R@ - 1#0" G +10@" J @$#$2 ! @$0+1 6b ! $0# Ly ! Ln y J 6a G 6b ! +10@" J @$0+1 G $0# ! ,10#) Vy ! max / $0$$"@+ G /Ly - 1"0#2 * $2 ! $01K$$ Wy ! / / Ly ? K$2R@ J 1 J Vy 2 ? /@ G /Ly ? K$2R@2 ! / /,10#) ? K$2 R @ J 1 J $01K2 ? /@ G /,10#) ? K$2 R @2 ! 10))1$ 6c y ! Wy G / 1 - / s7r /1 - /K$ ? Wy ? Ly2R@ 2 2


@+

! 10))1 G /1 - /s7r / 1 - /K$ ? 10))1 ? ,10#)2R@ 2 2 ! $0," 9:; &A%<

!

3&

?@?@$1,

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8


!a# "CR

$

.&@

6c min ! min /6c x* 6c y2 ! $0," &c min ! 6c min G &s

NZS:3404 - %.3.3

! $0," G "1@10@" ! @"$"0),

k&

T&c ! @$,"01@

k&

&G ! 1#$

k&

F= ! $0$,@

--N

ok

& CO!(INE" ACTIONS CA*ACITY 3N,S'.: C&>5 Si$ni6ant axial #ore e7

NZS:3404 - ,.1.4&a'

&G ! 1#$

k&

T&s ! @$K011 &G ! $0$#

compression load

k& T&s

%Gy ! $

--N


k& m no minor y-axis bending

T&cy ! @$,"01@ &G ! $0$,

NZS:3404 - ,.1.4&b'

k& m T&cy --N


8ased on l ,.1.4 e7 e need to e7 ombined a!ons9 ppliability o# alterna!e desi$n proisions

Is he member doubly symmericU

&

Is he secton compacU

&

Are he plae elemen slenderness for each plae no exceeding value from able 01U Balue Himi 3op g Le

!

K0

N

K

&

;o g Le

!

#0K@

Q

K

D

.eb Le

!

)

Q

@

D

&

Is he member subMec o axial ensionU

&

is he form facor /kf2 uniyU

&

NZS:3404 - ,.1.5&a' NZS:3404 - ,.1.5&b'

&

NZS:3404 - ,.1.5&'

Foes he design compression force comply wih e7 010#U &G !

1#$

k&

T&s !

@$K011

k&

&G ? T&s U 10K - /d1 ? w G s7r /fyw ? @#$2 ? )#

D D

$0$# U 10K - /)+ ? 1$ G s7r / "#$ ? @#$2 ? )# $0$# Q

$0+@

*e7 #ails alterna!e desi$n proision an;t be sed


@,

9:; &A%<

!

3&

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8


?@?@$1,

!a# "CR

$

.&@

*ombined a!ons - se!on apaity

>niaxial x-axis bending %Gx ! "$$

k& m

NZS:3404 - ,.3.2.1

%rx ! %sx G /1 - &G ? T&s2 ! #,#0@) G / 1 - 1#$ ? @$K0112 ! #))0#@

k& m

T%rx ! )K$0$,

k& m


can?t be 8sed

%rx ! 101 G %sx G /1 - &G ? T&s2 ! #,#0@)

k& m

T%rx ! #1,0,@

k& m

%rx used ! #))0#@

k& m

%Gx ! "$$

k& m

F= ! $0+1

--N

NZS:3404 - ,.3.2.2

Q! %sx

ok

>niaxial y-axis bending %Gy ! $

k& m

NZS:3404 - ,.3.3.1

%ry ! %sy G /1 - &G ? T&s2 ! 1$K0#1 G / 1 - 1#$ ? @$K0112 ! 1$"0++ T%ry ! K"0@K Alernatve design provision

k& m k& m can?t be 8sed

%ry ! 101K G %sy G /1 - &G ? T&s2R@ ! 1$K0#1 T%ry ! K0#+

NZS:3404 - ,.3.3.2

Q! %sy

k& m k& m

%ry aken ! 1$"0++

k& m

%Gy ! $

k& m

F= ! $

--N

ok

;iaxial bending &G ? T&s J %Gx ? T%sx J %Gy ? T%sy Q!1

NZS:3404 - ,.3.4.1

1#$ ? @$K011 J "$$ ? #,#0@) J ? 1$K0#1 Q! 1 ! $0#,# F= ! Alernatve design provision

Q1 --N

no minor y-axis bending

can?t be 8sed

/%Gx ? T%rx2RX J /%Gy ? T%ry2RX Q!1 X ! 10) J /&G ? T&s2 ! 10) J /1#$ ? @$K0112

NZS:3404 - ,.3.4.2

Q! @ Q! @

! 10)# /"$$ ? #,#0@) ? $0K2 R 10)# J / ? 1$"0++? $0K 2 R 10)# ! $0)K


Q1

@

F= !


--N

no minor y-axis bending

@K

9:; &A%<

!

3&

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8


?@?@$1,

!a# "CR

$

.&@


%aMor x-axis bending %ix ! %sx G /1 - &G ? T&c-x2* where

NZS:3404 - ,.4.2.2.1

T&c-x ! nominal member axial compression capaciy wih ke ! 1 Hex ! ke G H xx

NZS:3404 - %.3.2

! 1 G "$$$ ! "$$$

mm

Ln x ! /Hex ? rx2 G s7r /kf2 G s7r /fy ? @#$2

NZS:3404 - %.3.3

! /"$$$ ? 1K@0)2 G s7r /$0"#2 G s7r /"#$ ? @#$2 ! 1+0# 6a ! @1$$ G /Ln x - 1"0#2 ? /Ln xR@ - 1#0" G Ln x J @$#$2 ! @1$$ G /1+0# - 1"0#2 ? /1+0#R@ - 1#0" G 1+0# J @$#$2 ! "0"K 6b ! $0# Lx ! Ln x J 6a G 6b ! 1+0# J "0"K G $0# ! 10## Vx ! max / $0$$"@+ G /Lx - 1"0#2 * $2 ! $0$1+$$ Wx ! / / Lx ? K$2R@ J 1 J V 2 ? /@ G /Lx ? K$2R@2 ! / /10## ? K$2 R @ J 1 J $0$1+2 ? /@ G /10## ? K$2 R @2 ! 1@0)#$ 6c x ! Wx G / 1 - / s7r /1 - /K$ ? Wx ? Lx2R@ 2 2 ! 1@0)# G /1 - /s7r / 1 - /K$ ? 1@0)# ? 10##2R@ 2 2 ! $0K) &c-x ! $0K) G "1@10@" ! "$,10@K

k&

T&c-x ! @,+)01+

k&

%ix ! #,#0@) G /1 - 1#$ ? @,+)01+2 ! #))0$@ Alernatve design provision

k& m can?t be 8sed

NZS:3404 - ,.4.2.2.2

%ix ! %sx G / /1 - / / /1 J 4m2 ? @2R"2 G /1 - &G ? T&cx2 J 101 G / / /1 J 4m2 ? @2R"2 G s7r /1 - &G ? T&cx2 2 Q!%rx ! #,#0@) G / /1 - / / /1 J $2 ? @2R"2 G /1 - 1#$ ? @,+)01+2 J 101 G / / /1 J $2 ? @2R"2 G s7r /1 - 1#$ ? @,+)01+2 2 Q! %rx ! #))0#@

k& m

%ix aken ! #))0$@

k& m

T%ix ! )K0+@

k& m

%Gx ! "$$

k& m

F= ! $0+1

--N


ok

"$

9:; &A%<

!

3&

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8


?@?@$1,

!a# "CR

$

.&@


%aMor y-axis bending %iy ! %sy G /1 - &G ? T&c-y2* where

NZS:3404 - ,.4.2.2.1

T&c-y ! nominal member axial compression capaciy wih ke ! 1 Hey ! ke G H yy

NZS:3404 - %.3.2

! 1 G "$$$ ! "$$$

mm

Ln y ! /Hey ? ry2 G s7r /kf2 G s7r /fy ? @#$2

NZS:3404 - %.3.3

! /"$$$ ? #@0K,2 G s7r /$0"#2 G s7r /"#$ ? @#$2 ! +10@" 6a ! @1$$ G /Ln y - 1"0#2 ? /Ln yR@ - 1#0" G Ln y J @$#$2 ! @1$$ G /+10@" - 1"0#2 ? /+10@"R@ - 1#0" G +10@" J @$#$2 ! @$0+1 6b ! $0# Ly ! Ln y J 6a G 6b ! +10@" J @$0+1 G $0# ! ,10#) Vy ! max / $0$$"@+ G /Ly - 1"0#2 * $2 ! $01K$$ Wy ! / / Ly ? K$2R@ J 1 J V 2 ? /@ G /Ly ? K$2R@2 ! / /,10#) ? K$2 R @ J 1 J $01K2 ? /@ G /,10#) ? K$2 R @2 ! 10))1$ 6c y ! Wy G / 1 - / s7r /1 - /K$ ? Wy ? Ly2R@ 2 2 ! 10))1 G /1 - /s7r / 1 - /K$ ? 10))1 ? ,10#)2R@ 2 2 ! $0," &c-y ! $0," G "1@10@" ! @"$"0),

k&

T&c-y ! @$,"01@

k&

%iy ! 1$K0#1 G /1 - 1#$ ? @$,"01@2 ! 1$10#K Alernatve design provision

k& m can?t be 8sed

NZS:3404 - ,.4.2.2.2

%iy ! %sy G / /1 - / / /1 J 4m2 ? @2R"2 G /1 - &G ? T&cy2 J 101 G / / /1 J 4m2 ? @2R"2 G s7r /1 - &G ? T&cy2 2 Q!%ry ! 1$K0#1 G / /1 - / / /1 J $2 ? @2R"2 G /1 - 1#$ ? @$,"01@2 J 101 G / / /1 J $2 ? @2R"2 G s7r /1 - 1#$ ? @$,"01@2 2 Q! %ry ! 1$"0++

k& m

%iy aken ! 1$10#K

k& m

T%iy ! K10)"

k& m

%Gy ! $

k& m

F= ! $

--N


ok

"1

9:; &A%<

!

3&

S>;9<3

!

B<=ICD .I3E %<%F
;D

!

.8


?@?@$1,

!a# "CR

$

.&@

*ombined a!ons - member ot-o#-plane apaity

heck of ou-of-plane member capaciy needs o be done only when member is no fully laerally resrained0 6m G 6s ! 10$@

--N

Segmen is fully laeral resrained

--N

&o need o check ou-of-plane member capaciy

Cor compression member( %ox ! %bx G /1 - &G ? T&c-y2

NZS:3404 - ,.4.4.1.1

! #,#0@) G /1 - 1#$ ? @$,"01@2 ! #""0+@

k& m


can?t be 8sed

NZS:3404 - ,.4.4.1.2

%ox ! 6bc G %bxo G s7r / /1 - &G ? T&cy2 G /1 - &G ? T&oY2 2 6bc ! 1 ? / / /1 - 4m2 ? @2 J/ /1 J 4m2 ? @2R"2 G /$0) - $0@" G &G ? T&cy2 ! 1 ? / / /1 - $2 ? @2 J/ /1 J $2 ? @2R"2 G /$0) - $0@" G 1#$ ? @$,"01@2 ! 10@# %bxo ! 6m G 6s G %sx

--N 6m is aken as uniy

! 1 G 10$@ G #,#0@) ! #+0,)

k& m

&oY ! / G 9 J /pi/2R@ G < G Iw ? HYR@2 2 ? / /Ix J Iy2 ? A2  ! $$$$ 9 ! +$,+$

%pa mm)

Iw ! )#)++@,,#$$ mm+ Ixx ! "K#+K1)+K0@"@ mm) Iyy ! @KK+##$$

mm)

HY ! "$$ mm &oY ! /$$$$ G +$,+$ J /pi/2R@ G @$#$$$ G )#)++@,,#$$ ? K$$$$2 2 ? / /"K#+K1)+K0@"@ J @KK+##$$2 ? 1$+$2 ? 1$$$ ! @#K@$0+#

k&

T&oY ! @"""0#K

k&

%ox ! 10@# G #+0,) G s7r/ /1 - 1#$ ? @$,"01@2 G /1 - 1#$ ? @"""0#K2 2 Q! %rx ! #))0#@

k& m

%ox aken !

k& m

%Gx !

k&m

F= !

--N

Cully laerally resrained - no need o check his

;iaxial bending for compression member

NZS:3404 - ,.4.5.1

/%Gx ? T%cx2R10) J /%Gy ? T%iy2R10) Q!1 %Gx ! "$$

k& m

%cx ! #))0$@

k& m

%Gy ! $

k& m

%iy ! 1$10#K

k& m

/"$$ ? $0K ? #))0$@2R10) J /$ ? $0K ? 1$10#K2R10) Q!1 F= !


--N

&o biaxial acton

"@

Steel Design - Nzs 3404

Recommend Documents