SI 2 6 . 88
General Input Length, L Fy !"0 !#e$tro%es '##ow(b#e she(r stress +nbr($e% Length Meor +nbr($e% Length Minor Sin$e the $omression :(nge $(rries ( niform #o(%, (ssme th(t it is restr(ine% (g(inst rot(tion. M(-imm Moment M(-imm She(r ' (3
Selection of the Web Plate 4e$ommen%e% height of *eb Proi%e% height of *eb Fin(# height of *eb, hw h
b3
htw ;
htw So tw $3
FPS 8 8 .2 0 50
ft ksi
2) 8 8 . 20 88 . 20
ksi ft ft
56/0 2 50
k k ft 1i
".5 ft .5) ft ".5 ft
2/2." in 0.6 in
For For $#o $#ose se#y #y s($ s($e% e% sti9n sti9ner er
htw So tw Fin(# thi$kness of *eb %3
L)2
m
hw tw
282.8/ in 0.) in 0.50 in 88.20 in 0 .5 0 i n
Member Dimension Hw, h 200 &w, tw 25 * f , wf 2000 &f, tf )2
74 74 74
88.20 ))/.)" 88.20
'web htw '##ow(b#e ben%ing stress Fb
0.6 Fy
// . ) 0 i n 2 )"6./0 0 ksi
$he$k if re%$tion of the (##ow(b#e ben%ing stress
hwtw So '##ow(b#e ben%ing stress mst be re%$e% Fb < 0.6 Fy
4e%$e% (##ow(b#e ben%ing stress, Fb=
B
)".)8 ) "6 . /0
0 ksi
2". ksi
Sele Select ctio ion n of of Fla Flang nge e Pla Plate tes s
'f < bf>tf &he minimm :(nge thi$kness in or%er or%er to reent reent :(nge #o$(# b$k#ing b$k#ing is
20.) in2
1$
0.8 ? htw
tf So bf < 'ftf
C
@ "0 i.e
).)) bt se )8.20 bt se
).)2 in 20.00 in
in in in in
ft ft ft ft
Design Design for bendin bending g stres stress, s, Mom Moment ent of Inerti Inertia a Fin(# Se$tion Dimention
I, Moment of Inerti( S, Se$tion Mo%#s r& htw
M) M2 M)M2
*eb h *eb t F#(nge w F#(nge t
88.20 0 .5 0 20.00 ) .) 2 )/52.6 25".8 5 .0 )"6./0
/600 kft 56/0 kft 0.82
i n/ i n in
" . 5 0.0/ ) . 6" 0 .0
)"6./0
Ab Bt m(- (#e is 2. So Ab
2.8) 2.
L #r&
fb Fb=
D
Intermediate stieners
'
58/SC4& Fy 80SC4& Fy htw So F Dee#oe% She(r Stress So Interme%i(te Sti9eners (re reire%
"".50 5."/ )"6./0 2.6" 250
88.20 2)).2/ 68.50 )5.)"
ft
20."" 2". 7k
ksi ksi
B B.)
Fin% the #o$(tion of the Erst sti9ener from e($h en%. 't Left
4( 'w f Sbstitte for F < f
A 1 So (h So ( B.2
't 4ight S(me (s Left
B.
Interme%i(te Sti9ner
( m(roi%e ( B./
f (h k A
250 ki 88.20 in2 2.8 ksi
0.)6
5.66 )." )5".8 in
0.8 71
./
)).6) in 85 in 2.8 0.6 ."5 0.28
) 71
0.8 71
F
!
@
2.8 71
Chec combined shear and bending in the !eb" f Fb fb
!
)2.66
2.8 ".) 20.5/ Fb@fb
ksi ksi ksi 71
Si#e of Stiner
'st G&ot(# (re( of ( (ir of sti9ner3 ).05 in2 'st G're( of ( sing#e sti9ner3 0.52 in2 !($h sti9ener sho#% be $he$ke% for the b$k#ing reirement bs>ts bsts So, bs ts bt roi%e% ts
0.52 ).// ).// 0.20 in 0.2 in
>
ts
.68 in/
bs Bt roi%e% bs Ist
2.65 in 6.8 in )0."
@
.68 71
mm mm mm mm
in in in
))/.)" 0.8 "8."/ 0./"
in in in in
2205 mm 285/ mm 2205 mm
.5) 0.08 6.56 0.0/
ft ft ft ft
General Input Length, L Fy !"0 !#e$tro%es '##ow(b#e she(r stress +nbr($e% Length Meor +nbr($e% Length Minor Sin$e the $omression :(nge $(rries ( niform #o(%, (ssme th(t it is restr(ine% (g(inst rot(tion. M(-imm Moment M(-imm She(r ' (3
Selection of the Web Plate 4e$ommen%e% height of *eb Proi%e% height of *eb Fin(# height of *eb, hw h
b3
htw ;
SI ."0
L)2
htw So tw $3
For $#ose#y s($e% sti9ner
htw So tw Fin(# thi$kness of *eb %3
hw tw 'web htw '##ow(b#e ben%ing stress Fb
$he$k if re%$tion of the (##ow(b#e ben%ing stress
hwtw So '##ow(b#e ben%ing stress mst be re%$e%
0.6 Fy
m
Fb < 0.6 Fy
4e%$e% (##ow(b#e ben%ing stress, Fb=
B
Selection of Flange Plates
'f < bf>tf &he minimm :(nge thi$kness in or%er to reent :(nge #o$(# b$k#ing is
1$
tf So bf < 'ftf
C
Design for bending stress, Moment of Inertia Fin(# Se$tion Dimention
I, Moment of Inerti( S, Se$tion Mo%#s r& htw
M)
*eb h *eb t F#(nge w F#(nge t
))0.5" 0./0 /0.00 ).00 6/)). 60/). )0.6 2"6./2
500
M2 M)M2
568 0.0
Ab Bt m(- (#e is 2. So Ab
).85 ).85
L #r&
))0.5" )25.05 6).6 )".20
fb Fb=
D
Intermediate stieners
'
58/SC4& Fy 80SC4& Fy htw So F Dee#oe% She(r Stress So Interme%i(te Sti9eners (re reire%
B B.)
)).20 2/.) 7k
"".50 5."/ 2"6./2 ).0 8/
Fin% the #o$(tion of the Erst sti9ener from e($h en%. 't Left
4( 'w f
8/ ki 88./6 in2 0.5 ksi
Sbstitte for F < f
A 1 So (h So ( B.2
't 4ight S(me (s Left
B.
Interme%i(te Sti9ner
B./
!
/.66 2.8/ )/.50 in
( m(roi%e (
".82 in 85 in
f (h k A
0.5 0."" ).0/ 0.)5
F
)2."5
@
Chec combined shear and bending in the !eb" f Fb fb
!
0.05
Si#e of Stiner
0.5 . )).)2 Fb@fb
ksi ksi ksi 71
'st G&ot(# (re( of ( (ir of sti9ner3 0./2 in2 'st G're( of ( sing#e sti9ner3 0.2) in2 !($h sti9ener sho#% be $he$ke% for the b$k#ing reirement bs>ts bsts So, bs ts bt roi%e% ts
0.2) ).// ).// 0.)2 in 0.2 in
>
2.) in/
bs Bt roi%e% bs Ist
h)
).68 in 6.8 in .5
)08." in
FPS ))0.5" 50
ft ksi
2) ))0.5" ))0.5"
ksi ft ft
568 8/
kft 1i
.2) ft .5" ft .2) ft
2/2." in 0./6 in
282.8/ in 0. in 0./0 in ))0.5" 0./0 //.2 2"6./2 0
)".)8 2"6./2
in in in2 ksi
Member Dimension Hw, h 200 mm &w, tw 25 mm *f, wf 2000 mm &f, tf )2 mm
74 74 74
))0.5" in ))/.8/ in ))0.5" in
2"6/.2/ mm 28").00 mm 2"6/.2/ mm
))/.)" 0.8 "8."/ 0./"
in in in in
.5) 0.08 6.56 0.0/
0 ksi
2/.) ksi
)".20 in2
0.) ? htw
@ "0 i.e
).08 bt se )5.8 bt se
).00 in /0.00 in
in in in in
ft ft ft ft
in/ in in
kft
.2) 0.0 . 0.08
2"6./2
kft
ft
ksi ksi
0.8 71 ./ 7& 71
) 71 0.8 71
0.5 71
ts
2.) 7& 71
ft ft ft ft
General Input Length, L Fy !"0 !#e$tro%es '##ow(b#e she(r stress +nbr($e% Length Meor +nbr($e% Length Minor Sin$e the $omression :(nge $(rries ( niform #o(%, (ssme th(t it is restr(ine% (g(inst rot(tion. M(-imm Moment M(-imm She(r ' (3
Selection of the Web Plate 4e$ommen%e% height of *eb Proi%e% height of *eb Fin(# height of *eb, hw h
b3
htw ;
SI )).)2
L)2
htw So tw $3
For $#ose#y s($e% sti9ner
htw So tw Fin(# thi$kness of *eb %3
hw tw 'web htw '##ow(b#e ben%ing stress Fb
$he$k if re%$tion of the (##ow(b#e ben%ing stress
hwtw o ee% for (##ow(b#e ben%ing stress re%$tion
0.6 Fy
m
Fb < 0.6 Fy
4e%$e% (##ow(b#e ben%ing stress, Fb=
B
Selection of Flange Plates
'f < bf>tf &he minimm :(nge thi$kness in or%er to reent :(nge #o$(# b$k#ing is
1$
tf So bf < 'ftf
C
Design for bending stress, Moment of Inertia Fin(# Se$tion Dimention
I, Moment of Inerti( S, Se$tion Mo%#s r& htw
*eb h *eb t F#(nge w F#(nge t
6.50 0.2 )8.00 0."2 ))"8.) 6)2." /.8 ))/.06
M) M2 M)M2
)00 )/50 0.0"
Ab Bt m(- (#e is 2. So Ab
).82 ).828/06"
L #r&
6.50 0. 6).00 )6.
fb Fb=
D
Intermediate stieners
'
58/SC4& Fy 80SC4& Fy htw So F Dee#oe% She(r Stress So Interme%i(te Sti9eners (re reire%
28./0 2.5 7k
"".50 5."/ ))/.06 6. "5
B B.)
Fin% the #o$(tion of the Erst sti9ener from e($h en%. 't Left
4( 'w f Sbstitte for F < f
A 1 So (h So ( B.2
't 4ight S(me (s Left
B.
Interme%i(te Sti9ner
( m(roi%e ( B./
f (h k A
F
!
"5 ki 2.6 in2 .2) ksi
0.) 2.68 2.0) "./8 in
)8.66 in /0 in .2) ).)0 8./5 0.58
)/.2
Chec combined shear and bending in the !eb" f
.2) ksi
@
@
Fb fb
!
".0 ksi 2".) ksi Fb@fb 71
Si#e of Stiner
'st G&ot(# (re( of ( (ir of sti9ner3 0.)6 in2 'st G're( of ( sing#e sti9ner3 0.08 in2 !($h sti9ener sho#% be $he$ke% for the b$k#ing reirement bs>ts bsts So, bs ts bt roi%e% ts
0.08 ).// ).// 0.08 in 0.2/ in
>
0.28 in/
bs Bt roi%e% bs Ist
).02 in / in ).6)
@
FPS 6.50 50
ft ksi
2) 6.50 6.50
ksi ft ft
)/50 "5
kft 1i
.0/ ft .5) ft .0/ ft
2/2." in 0.)5 in
282.8/ in 0.) in 0.2 in 6.50 0.2 )).68 ))/.06 0
)".)8 ))/.06
in in in2 ksi
Member Dimension Hw, h 200 mm &w, tw 25 mm *f, wf 2000 mm &f, tf )2 mm
74 74 74
6.50 in ))/.)" in 6.50 in
)2./5 285/ )2./5
))/.)" 0.8 "8."/ 0./"
in in in in
.5) 0.08 6.56 0.0/
0 ksi
2.5 ksi
)." in2
0./6 ? htw
@ "0 i.e
0.88 bt se )5./ bt se
0."2 in )8.00 in
in in in in
ft ft ft ft
in/ in in
.0/ 0.0 ).50 0.06
))/.06
kft kft
ft
ksi ksi
0.8 71 ./ 7& 71
) 7& 71 0.8 71
.2) 71
ts
0.28 71
ft ft ft ft
SI 26.88
General Input Length, L Fy !"0 !#e$tro%es '##ow(b#e she(r stress +nbr($e% Length Meor +nbr($e% Length Minor Sin$e the $omression :(nge $(rries ( niform #o(%, (ssme th(t it is restr(ine% (g(inst rot(tion. M(-imm Moment M(-imm She(r ' (3
Selection of the Web Plate 4e$ommen%e% height of *eb Proi%e% height of *eb Fin(# height of *eb, hw h
b3
htw ;
htw So tw $3
FPS 88.20 50
ft ksi
2) 88.20 88.20
ksi ft ft
)20 6
kft 1i
/./) ft .5) ft /./) ft
2/2." in 0.22 in
For $#ose#y s($e% sti9ner
htw So tw Fin(# thi$kness of *eb %3
L20
m
hw tw
282.8/ in 0.) in 0.25 in 52.2 in 0.25 in
Member Dimension Hw, h 200 &w, tw 25 *f, wf 2000 &f, tf )2
74 74 74
52.2 ))/.)" 52.2
'web htw '##ow(b#e ben%ing stress Fb
0.6 Fy
).2 in2 2)).68 0 ksi
$he$k if re%$tion of the (##ow(b#e ben%ing stress
hwtw So '##ow(b#e ben%ing stress mst be re%$e% Fb < 0.6 Fy
4e%$e% (##ow(b#e ben%ing stress, Fb=
B
)".)8 2)).68
0 ksi
2.06 ksi
Selection of Flange Plates
'f < bf>tf &he minimm :(nge thi$kness in or%er to reent :(nge #o$(# b$k#ing is
8.)0 in2
1$
0./ ? htw
tf So bf < 'ftf
C
@ "0 i.e
0."2 bt se )).0 bt se
0."0 in 22.00 in
in in in in
ft ft ft ft
2)).68
Design for bending stress, Moment of Inertia Fin(# Se$tion Dimention
I, Moment of Inerti( S, Se$tion Mo%#s r& htw
M) M2 M)M2
*eb h *eb t F#(nge w F#(nge t
52.2 0.25 22.00 0."0 2"//.6 )0/6.2 5. 2)).68
/600 kft )20 kft ./8
in/ in in
/./) 0.02 ).8 0.06
)2 6.25 550 )".5
Ab Bt m(- (#e is 2. So Ab
.05 2.
L #r&
fb Fb=
D
Intermediate stieners
'
58/SC4& Fy 80SC4& Fy htw So F Dee#oe% She(r Stress So Interme%i(te Sti9eners (re reire%
"".50 5."/ 2)).68 ).86 6
88.20 )"8.)8 68.50 )5.)"
ft
)5.)/ 2.06 7k
ksi ksi
B B.)
Fin% the #o$(tion of the Erst sti9ener from e($h en%. 't Left
4( 'w f Sbstitte for F < f
A 1 So (h So ( B.2
't 4ight S(me (s Left
B.
Interme%i(te Sti9ner
( m(roi%e ( B./
f (h k A
6 ki 26./6 in2 ).6 ksi
0.08
.2 !rr502 !rr502 in
0.8 71
./
".8/ in 85 in ).6 ).6) 6.0" 0.)2
@
) 7& 71 0.8 71
F
!
@
).6 71
Chec combined shear and bending in the !eb" f Fb fb
!
.0
).6 8./ )5.00 Fb@fb
ksi ksi ksi 71
Si#e of Stiner
'st G&ot(# (re( of ( (ir of sti9ner3 0.2) in2 'st G're( of ( sing#e sti9ner3 0.)) in2 !($h sti9ener sho#% be $he$ke% for the b$k#ing reirement bs>ts bsts So, bs ts bt roi%e% ts
0.)) ).// ).// 0.0 in 0.2 in
>
ts
).25 in/
bs Bt roi%e% bs Ist
).) in 6.8 in ./
@
).25 71
mm mm mm mm
in in in
))/.)" 0.8 "8."/ 0./"
in in in in
)2 mm 285/ mm )2 mm
.5) 0.08 6.56 0.0/
ft ft ft ft
mm mm mm mm
Be(m *eight Be(m Length
6." mm
hw tw bf tf
in 2200 )2 )000 28
ft +nit wt 0./ kift ', in2 J, ft *t, ki 88.00 /2.2/ 28." ). ki 0./8 /0.00 //.80 2".8 )./ ki ).)2
&ot(# o / /
Be(m Sti9ener *eight ) Sti9ener *i%th )"0.00 mm +nit wt 0./ kift Sti9ene )500 Sti9ener ) o ) no mm in ', in2 J, ft *t, ki &ot(# o bs 200.00 2.00 6.80 0.)/ 0.) ki ) ts )0.00 0./0 Be(m Sti9ener *eight 2 Sti9ener *i%th )50.00 mm +nit wt 0./ kift Sti9ene )500 Sti9ener ) o ) no mm in ', in2 J, ft *t, ki &ot(# o bs 606.00 2/.2/ ."0 0.0 0.0 ki ) ts )0.00 0./0 Be(m Sti9ener *eight Sti9ener *i%th 6." ft Sti9ener ) o )6 mm in bs "5.00 ts 6.00 Ao#mn *eight Be(m Length hw tw bf tf
)0".00 mm in )600 )0 )000 22
+nit wt ', in2 .00 0.2/
J, ft 0."2
0./ kift *t, ki
0./8
0.2 ki
ft +nit wt 0./ kift ', in2 J, ft *t, ki 6/.00 25.60 ).02 . ki 0./0 /0.00 5.20 )5.6/ "." ki 0.88
&ot(# o )6
&ot(# o 8 8
Ao#mn Sti9ener *eight ) Sti9ener *i%th )"0.00 mm +nit wt 0./ kift Sti9ene 2000 Sti9ener ) o )6 no mm in ', in2 J, ft *t, ki &ot(# o bs )600.00 6/.00 20./8 0.08 0.0 ki )6 ts 8.00 0.2 Ao#mn Sti9ener *eight 2 Sti9ener *i%th )0".00 ft Sti9ener ) o )6 i
+nit wt i
f
0./ kift ki
#
ts
6.00
0.2/
Se$on%(ry Be(m ) *eight Be(m Length 8.2/ mm in hw )000 tw 6 bf /50 tf )5 Se$on%(ry Be(m 2 *eight Be(m Length )).)2 mm in hw )000 tw 6 bf /50 tf )5 Se$on%(ry Be(m *eight Be(m Length )/.02 mm in hw )000 tw 6 bf /50 tf )5 Ao#mn Br($ing Be(m Length
82.00 mm
hw tw bf tf
in )50 6 600 )5
ft ', in2 /0.00 0.2/ )8.00 0.60
)0.80
ft ', in2 /0.00 0.2/ )8.00 0.60
.00
.00
.00
/ /
&ot(# o /
).5 ki
+nit wt 0./ kift J, ft *t, ki .60 0. 0.5 ki
)0.80
&ot(# o
).5 ki
+nit wt 0./ kift J, ft *t, ki .60 0."/ 0./ ki
)0.80
ft ', in2 /0.00 0.2/ )8.00 0.60
+nit wt 0./ kift J, ft *t, ki .60 0.55 0. ki
/
&ot(# o /
).5 ki
ft +nit wt 0./ kift ', in2 J, ft *t, ki 5/.00 )2.6 ".8 .6 ki 0.2/ 2/.00 )/./0 5./0 2.6 ki 0.60
/
&ot(# o / /
&ot(#
*t, ki *t, &on 55.6) 25.28 5.66
mm
2/.
5.00
*t, ki
*t, &on )." 0.62
mm
5.00
*t, ki
*t, &on 0.2 0.)5
*t, ki
*t, &on ." )."2
*t, ki *t, &on "/.5" .8 6).
mm
2".88
6.6"
*t, ki
ki
*t, &on 0.6 0.2
*t, ki
*t, &on ).08 0./ 5.88
*t, ki
*t, &on )./5 0.66 5.88
*t, ki
2.6"
2.6"
*t, &on ).8 0.8 5.88
2.6"
*t, ki *t, &on )/./6 6.5" )0.58
)5).8) ton
/.8)
L &o P#(te *eb Bottom #(te Sti9ner ) Sti9ner 2 79set 1 A B * &
& 2000 2850 2000
25 )0 25
)5 $%&& $''(") $'() *%)& *&
Part .op Pl Web 0 Bott 0 .otal D 3 Sc St
+rea )&&&& )(&&& )&&&& *)(&&& /). ))82/.8
Dist" Moment CG to -+ *$") /$)&&& $'"' $'() */1'()&&& *$") $''(") *221()&&& $'2/"$ /2'(&/%