-
8/16/2019 Strength Axial Compression Steel
1/30
Available Strength in Axial Compression, kips
HP-Shapes
Shape HP14X HP12X
lb/ft 11 1!2 "# "4 4
$l
! 1%4" 1&%4'% 114'% #(& 11! #"11 1%4('&(
1&%&'&% 11&'%!" #(2'1(# 11!%'(%2 ##'"#4
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4 1%2'"#" 1&&('(1% 11%"'2" #4#'2% 1!"%'(&4
#(1'"!#
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( 1%!&'1&( 1&14'%# 11'&12
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14"'2% 1&!!'4(" 112('"(% #2&'!(1" 1!42'"%#
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#!('4%%2
# 144"'"" 12(('&%1 1!#('"!% "#'""1 1!!2'##1 ""'(24
1! 142('%(% 124('%1# 1!#'&& ""&'2%1( #"!'!441
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12 1&('1#( 12!1' 1!'#4( "%!'2"# #2"'"##% "21'1"""
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#!1'!&"& #('224"
14 1&1"'#%" 11%!'#(% ##%'242# "12'#1&& "1'""(
!'11%4
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1 1222'4(1 1!(%'&"" #2!'!2#" %!'11#2 "'%!4 ("('%(&%
1" 11""'!!2 1!&4'"%( "#&'21#" 2'(41 4('!1!"
(%'%22&
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22 1!42'4& #!('!4#1 "!'2!1 (&&'%"& (1&'#!(1
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24 #(('#(!" "'&# 21'#12" %"%'&!"# %4"'"22 4"1'("1
2% #2#'!1% "!%'"#%" (#2'(& %(1'!&4% %1'!2&&
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2# "'&21 (&'%1&1 %'!"(1 4(%'4" ('(%&&
&4('
&! 42'!"( (41'2#(4 %4#'!224 442'&&&1 &!'(%!%
&24'!!#
&1 !('!12# (!#'(!1 %21'441% 41#'(1& &4'12&&
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2"4'&%
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2&"'!44
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& %!"'!(& 4&'1( &2'!&" 2#"'!2&
24&'(!# 21&'!!"1
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2&1'!14# 2!1'#44
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*)Pn *)Pn *)Pn *)Pn *)Pn *)Pn
-
8/16/2019 Strength Axial Compression Steel
2/30
4%'2#4 &'42 &&%'4%# 2("'"%1 21#'&1#"
1#1'21&
4! 4&4'1%1 &4'!4% &1"'"#4 2%%'%1 2!"'4#!#
1"2'2%%
-
8/16/2019 Strength Axial Compression Steel
3/30
+ %! . 2#!!!
phi !'#
HP1!X HP"X
(& %&) % 42 &(
"2" (#'% %1'% %%" 4"2('#4#( (#('(!2 %!'1"& %%('#"#4
4%'("1
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"1"'%#4& ("#'4((1 '2#4 %4"'# 4(%'2%#"
"11'&%2 ("&'2"1( &!'!21 %42'!4" 4%('&2"
"!2'1&( (%'411% 1#'2%& %&&'2( 44%'!#4
#1'!1&4 ((%'#1%% !%'%12& %22'44 4&1'44"
"'!( (%4'"(% ("#'(!(% %1!'%22 41('4"
(&' (42'&42 (1'(#" 4#('"%" #'%&(2
4'!#4 (2"'4&"( (%1'#(4 4"1'#(# &"1'1(%1
2#'2#1% (1&'2%%2 (&!'%#44 4(%'4"4#
&(1'(&!41!'1!& %#('#!!1 (!'""( 44"'!#% &41'2!21
("#'(4 %#'4"4 %"&'%( 42#'#"( &2!'14##
(("'1&1% %(1'1&(1 %%"'1!& 41!'%% 2#"'&
(4%'(2!2 %41'#(# %&2'"((4 '1&4% 2'21"1
(22'2"%4 %22'11! %!('4&"2 &1'1!&& 2%%'"2"
%#"'2&2 %!1'("(" 4#'(&%2 &%!'"2& 2&4'"4(
%&'2#1 4"!'"224 4%2'(%## &&!'4%21 214'2"21 Che)k
$/r
%4"'#(# 4%#'(4!# 42%'!%( &1!'1&(# 1#4'4#
11&'4&1"
%2&'(12 4&"'2(2" "'#%44 2#!'!1& 1%'1(42 $/r 0
11&'4&1"
4#"'&2%# 41('"!4% &2'%4" 2!'2214 1%"'!"% $/r0 2!!
4&'!%&" %'& &4('21 2%!'"(%%
14&'&""&
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11#'%&%%
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&%1'!4!2 2#2'1&1 2&2'(&& 1('142&
#&'%41"1
&2"'1##" 22'"4&% 21%'24 1%4'##! "('411
&!%'(% 2%&'!2 2!!'%#!& 144'11( "!'(%%#4
2"4'(#" 2&('%!( 1"('##% 1&4'&4#" %'1"#&
2(('!&4& 221'!!&2 14'&(4 12%'%42% !'2(!2#
24#'14( 2!('#4# 1(&'(44# 11'%&( (%'"!!4"
2&&'"1#2 1#4'2411 1%&'%(# 11!'&4 (1'%221
21#'"(&1 1"2'(4& 144'41!& 1!&'%41
2!'12!1 12'!(1& 1&('!4!% #'4!(
1#%'4%&" 1(2'&(# 12"'&" #2'2&%2
1"4'4( 1%&'44% 121'&44" "'1"22(
14'"#4 14%'2#! 114'"42 "2'%&&
1(%'"1!# 1&'444 1!"'#!" "'24(("
*)Pn *)Pn *)Pn *)Pn *)Pn
$/r
-
8/16/2019 Strength Axial Compression Steel
4/30
1%'41( 1&!'11 1!&'& 4'2"%4"
14#'(44& 124'&14& #"'2"#2% !'(1(&
-
8/16/2019 Strength Axial Compression Steel
5/30
HP-14X
11 1!2 "#
Ag &4'4 &!'1 2('1
r &'%# &'%( &'%&
$ $/r +e $/r +e $/r
!
1 &'&42(1" 2%(1('( &'&!" 2%1#!'411
&'#4&&4&2 ('("%2& (4!4'1"# ('41%& (2#'(!2
('#""(("(
& 1!'!2"( 2"4('&!( 1!'112&( 2#"'#&4%
1!'1#"&!!&
4 1&'&!4 1(!1'!4 1&'4"&1% 1%4'4!!
1&'%#&&
% 1('1&!# 1!24'( 1('"%& 1!!'(1(4 1('##1(1
( 2!'!%%1 11'%(( 2!'2242 (##'&&(& 2!'((!!(
2&'"&& %22'#1 2&'%#%%1 %14'!#!!1
2&'#(!&4
" 2('4!#% 4!!'2(1" 2('#((2# &'(!!1 2'1#%4(4
# &!'!"&% &1('2%(& &!'&&!"
&1!'##22 &!'%#4#!!"
1! &&'42(1" 2%('1(( &&'!" 2%1'#!411
&&'##4&&4&
11 &('("" 211'!" &'!"(% 2!"'1"%21 &'&(12
4!'11142 1'"#41 4!'44#44 14'#&&41 4!'#&2!11
1& 4&'4%4!4 1%1'%"4 4&'"2!22 14#'!%%("
44'1#2(&4(
14 4('#((( 1&!'(# 4'1#1!1 12"'%22% 4'%#2!("
1% %!'1" 11&'"%2& %!'%(1" 111'#%&" %!'##1%!14
1( %&'4"1"# 1!!'!(%% %&'#&2%" #"'4!!!42
%4'!#&4"
1 %('"24%1 ""'(& %'&!&& "'1(4!%1
%'#!&("&
1" (!'1(1& #'!(4!( (!'(41( '4"1"1 (1'1"#"!1
inelasti) 1# (&'%!#% !'#(!%% (4'!44#4 (#'#%&1
(4'%"#2&%1
elasti) 2! (('"%2& (4'!41"# ('41%& (2'#(!2 ('#""(("(
too slener 21 !'1#4## %"'!""" !'"(%2 %'12111&
1'&""1!2
22 &'%&( %2'#21" 4'1%& %2'!4(&!&
4'"%&%4
2& ('""!22 4"'424" '%2"!# 4'(1"#24 "'1"(#(""
24 "!'222"4 44'4&%4 "!'"#""" 4&'&&&%2
"1'%"(4!2&
2% "&'%(%4( 4!'#"("1 "4'2(#(( 4!'&!4(% "4'#"%"&%
2( "('#!"!" &'"#4(1 "'(4!4% &'2( ""'&"%2(#1
2 #!'2%! &%'1%" #1'!1124 &4'%%44 #1'"4!2%
2" #&'%#&&1 &2'(44& #4'&"2!2
&2'1&!(2( #%'1"41&(
2# #('#&%#& &!'4%#"" #'%2"1 2#'#%2#2(
#"'%"&%(#4
&! 1!!'2"( 2"'4(&!( 1!1'12&( 2'#"#&4%
1!1'#"&!!&
&1 1!&'(212 2('(%(&% 1!4'4#44 2('212!(
1!%'&"24&(
&2 1!('#(&" 2%'!1(&( 1!'"(%2 24'(!!!1 1!"'"1"
&& 11!'&!(4 2&'%2&1# 111'2&(
2&'1&1(# 112'1"1&!&
&4 11&'(4# 22'1%#"2 114'(!( 21'#1!1&
11%'%"!&
&% 11('##1( 2!'#11(4 11'#% 2!'%(&(!1 11"'#"!1
&( 12!'&&4& 1#'((!2 121'&4"&
1#'4&!4% 122'&#(!&
& 12&'((# 1"'12!2 124'1#1 1"'4!!%#2 12%'#!&
&" 12'!1#% 1'4!14 12"'!"## 1'444""& 12#'1"4
1&!'&(21 1('"42!% 1&1'4(! 1('%(14&
1&2'%#!4
-
8/16/2019 Strength Axial Compression Steel
6/30
4! 1&&'!4 1('!1!4 1&4'"&1% 1%'44!!
1&%'#&&
-
8/16/2019 Strength Axial Compression Steel
7/30
HP-12X
& "4 4 (&
21'4 24'( 21'" 1"'4
&'4# 2'#4 2'#2 2'""
+e $/r +e $/r +e $/r +e $/r
24('(4 &'4&"% 242!#'%2 4'!"1(&& 11"!'2 4'1!#%"#
1(#4'&2 4'1(((((1#1'#11 ('"(#1 (!%2'&# "'1(&2(% 42#%'!(
"'21#1" 42&('"2# "'&&&&&&
2%1'#( 1!'&1%1# 2("#'#4( 12'244# 1#!"'#1# 12'&2"
1""&'!&% 12'%
1%4'#" 1&'%&%" 1%1&'!#% 1('&2(%& 1!&'(
1('4&"&( 1!%#'2! 1('((((
##!'!% 1'1#1#" #("'&"!( 2!'4!"1( ("'21! 2!'%4#% ('"#2
2!'"&&&&
("'##!1 2!'(&!& (2'4"(( 24'4"#" 4'22#( 24'(%%&
4!'%"" 2%
%!%'4(21 24'!(" 4#4'!1" 2"'%14& &%!'(1 2"'(12
&4%'"(&( 2#'1(((
&"('##44 2'%!1( &"'2& &2'(%&!( 2("'441
&2'"(1 2(4'"!1" &&'&&&&&
&!%'&4 &!'#4%%( 2#"'""2# &('&4(# 212'1!21
&('#"(& 2!#'22(1 &'%
24'((4 &4'&"% 242'!#%2 4!'"1(&& 11'"!2 41'!#%"#
1(#'4&2 41'((((
2!4'(#1& &'"22&% 2!!'!"( 44'"##( 141'#"% 4%'2!%4"
14!'!(!% 4%'"&&&&11'##% 41'2(!4 1("'121( 4"'##%#
11#'&!4 4#'&1%! 11'("# %!
14('%%41 44'(##14 14&'2%1( %&'!(122 1!1'(%"4
%&'424(( 1!!'2" %4'1(((
12('&(%% 4"'1&%4 12&'%1# %'142"( "'(%442 %'%&42%
"('4(%# %"'&&&&&
11!'!"4 %1'%%#& 1!'%#" (1'2244# ('&%(4 (1'(4&"4
%'&2141 (2'%
#('4"( %%'!14&& #4'%("42 (%'&!(12 ('11!42
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"%'!11" %"'4%22 "&'(##% (#'&"( %#'442# (#'"(&!1
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&'#2( %2'&!(%& %
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4('#4%4" #'1(((
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42'&("2# "&'&&&&&
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&"'42#2# "'%
%1'12"1 %'(44 %!'!1#(( "#'#%#2 &%'4#(42 #!'41!#(
&%'!1%12 #1'((((
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1!2' 2'11%1 1!4'1((
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1!('"4#& 2%'! 1!"'&&&&
&&'#4"2 #2'"&((" &&'2!#21 11!'2!41
2&'%((# 11!'#%"# 2&'24&% 112'%
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11%'!("% 21'(1(4" 11('(((
2#'4%!2& ##'1&4 2"'"(%" 11"'&(& 2!'42"&"
11#'1"1 2!'1%1 12!'"&&&
2'%1#( 1!&'1%1# 2('"##4( 122'44# 1#'!"#1# 12&'2"
1"'"&!&% 12%
2%'2" 1!('%#!& 2%'1#2 12('%&!( 1'"4# 12'&
1'(&%!# 12#'1((
24'1"1% 11!'!2" 2&'(4211 1&!'(122 1('( 1&1'%!("
1('%%!11 1&&'&&&&
22'4&4 11&'4( 22'2&!#( 1&4'(# 1%'(1#
1&%'(1(4 1%'%(22 1&'%
21'42%& 11('#!%4 2!'#424# 1&"'%% 14'"(1"2 1'2(
14'((!&1 141'(((
2!'21"4" 12!'&4&" 1#'(2" 142'"%1 14'!241
14&'"&%( 1&'"&4%4 14%'"&&&
1#'11!"& 12&'"22 1"'("!1" 14('#&"" 1&'2%(&"
14'#4%2 1&'!((& 1%!
1"'!#1" 12'22!( 1'("4!# 1%1'!2!4 12'%4#% 1%2'!%4"
12'&#&4 1%4'1((
1'1%211 1&!'(%# 1('(%%# 1%%'1!2 11'"#(# 1%('1(44
11'&(& 1%"'&&&&
1('2"&# 1&4'!#4 1%'#1("4 1%#'1"& 11'2#%&" 1(!'24
11'14222 1(2'%
-
8/16/2019 Strength Axial Compression Steel
8/30
1%'4#" 1&'%&%" 1%'1&!#% 1(&'2(%& 1!'&(
1(4'&"&( 1!'%#2! 1(('(((
-
8/16/2019 Strength Axial Compression Steel
9/30
HP-1!X HP-"X
%& % 42 &(
1%'% 1(' 12'4 1!'(
2'"( 2'4% 2'41 1'#%
+e $/r +e $/r +e $/r +e $/r
1(4"('1# 4'1#%"!4 1(2%"'!1 4'"##%# 11#&!'4 4'##2%&
11%44'&% ('1%&"4(4121'%4 "'(!" 4!(4'%!2 #'#%#1" 2#"2'("%
#'#%"%!( 2""('!" 12'&!(#
1"&1'## 12'%"41 1"!('44% 14'(#&"" 1&2%'(&"
14'#&( 12"2'!% 1"'4(1%4
1!&!'&" 1('"&22 1!1('12% 1#'%#1"4 4%'(1& 1#'#1!1
21'%21( 24'(1%&"
(%#'44% 2!'##!2 (%!'&2!& 24'4"#" 4'22#( 24'"#(2
4(1'&" &!'(#2&
4%'#4#( 2%'14"& 4%1'(11& 2#'&"( &&1'4!#%
2#'"%%2 &2!'((& &('#2&!"
&&('4%2" 2#'&!(& &&1'#(1 &4'2"%1
24&'4"4% &4'"%4 2&%'%#"# 4&'!(#2
2%'%#( &&'%((4& 2%4'!&14 '1"&( 1"('41"
'"&4!2 1"!'&"!4 4#'2&!
2!&'%&&2 &'(224 2!!'1(1 44'!"1(& 14'2#&1
44'"1&2" 142'%22" %%'&"4(2
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11%'44&% (1'%&"4(
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12'!42% 1%%'244" 11'"%"& 1"1'224% "'14#&1 1"4'2&24
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11'41!& 1%#'44!( 11'2%#!1 1"('1224 "'2(22"( 1"#'211( '##4(##
2&&'"4(2
1!'"!4 1(&'(&(4 1!'("#!& 1#1'!2!4 '"44!11 1#4'1#!#
'%"##1 24!
-
8/16/2019 Strength Axial Compression Steel
10/30
1!'&!&" 1('"&22 1!'1(12% 1#%'#1"4 '4%(1& 1##'1!1
'21%21( 24('1%&"
-
8/16/2019 Strength Axial Compression Steel
11/30
+e
%%'#%"1""#'4"#
"'&1
42'&24
&!2'&1"&
2!#'#4&&
1%4'244
11"'!#&1
#&'&!"12
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4'#(#!2
-
8/16/2019 Strength Axial Compression Steel
12/30
4'2&24
-
8/16/2019 Strength Axial Compression Steel
13/30
Available Strength in Axial Compression, kips
HP-Shapes
Shape HP14X HP12X
lb/ft 11 1!2 "# "4 4
$l
! 1114'%( #%'24 "4%'(4 (#&'&( #'!4 !('&2
1 111&'#!% #4'(%(" "4%'12% (#2'#2"( #('&41&
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2 1111'#41 #2'#!#4 "4&'%"4 (#1'(&( #4'24"
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4 11!4'12 #(%'#%1 "&'44"( ("('4"#( "%'#&&%
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% 1!#"'2# #(!'(4" "&2'"%" ("2'(%% #'%4& (#!'#&%
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1 #4!'&24& "2!'41## !#'2#" %#'21% (1"'%""2
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2&"'!44
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& 4#"'1"2# 4&!'!!#4 &('("# 2#%'441 24&'(!#
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*)Pn *)Pn *)Pn *)Pn *)Pn *)Pn
-
8/16/2019 Strength Axial Compression Steel
14/30
+ &( . 2#!!!
!'#
HP1!X HP"X
(& %&) % 42 &(
%#('1( %!2'2 %41'!" 4!1'( &4&'44
%#%'(1%4 %!1'&4" %4!'1 4!1'2&( &42'%(
%#&'#"4% %!!'&41 %&"'&%&% #'((#
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%#1'2(& 4#"'!2"% %&4'#(4 '!("2
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%"2'(#2 4#!'(## %24'2(&1 &""'"(2 &2('422
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%!'!%!4 4#'#!&" %!"'(1!" &('"(# &11'4((
%(2'2""( 4&'2"& 4##'!((& &(#'%(&1
&!2'&
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%&&'4%% 44"'#2%& 4(4'4!24 &4&'!((%
2(#'"24
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4#"'&"4% 41"'"!% 422'4&& &11'!4"
2&2'&%&%
4"%'&4"& 4!'(4# 4!'2412 2##'%2!& 21#'&!!"
41'"## ('12"" '(!%& 2"'(4&2 2!('1%"
4%'2" &"4'1#(# &%'(1#" 2%'%1(# 1#&'!&12 Che)k
$/r
44&'&(!# &1'#&44 &%#'&# 2(&'21&
1"!'!212 1&&'("!
42"'(1"( &%#'(4 &42'#!# 2%!'"!4% 1%'1(42 $/r 0
1&&'("!
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1%"'!"% $/r0 2!!
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&&('2# 2"1'&1 24%'2#1 1'!!2 1!1'14"
&21') 2("'4!21 2&!'4!!( 1(('2%(% #&'%41"1
&!('1#(" 2%%'%&( 21%'4"&4 1%%'144& "('411
2#1'1"%& 242'"&% 2!!'%#!& 1%4'##! "!'(%%#4
2('4!41 2&!'&42 1"('##% 144'11( %'1"#&
2(1'"#4 21"'!"4# 14'&(4 1&4'&4#" !'2(!2#
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2&&'"&&2 1#4'2411 1%&'%(# 11'%&(
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1"4'4( 1%&'44% 121'&44" #2'2&%2
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1(%'"1!# 1&'444 1!"'#!" "2'%&&
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14#'(44& 124'&14& #"'2"#2% 4'2"%4"
*)Pn *)Pn *)Pn *)Pn *)Pn
$/r
-
8/16/2019 Strength Axial Compression Steel
15/30
HP-14X
11 1!2 "#
Ag &4'4 &!'1 2('1
r &'%# &'%( &'%&
$ $/r +e $/r +e $/r
!
1 &'&42(1" 2%(1('( &'&!" 2%1#!'41
&'#4&&
2 ('("%2& (4!4'1"# ('41%& (2#'(!& ('#""(
& 1!'!2"( 2"4('&!( 1!'112&( 2#"'#&%
1!'1#"&
4 1&'&!4 1(!1'!4 1&'4"&1% 1%4'4!1
1&'%#&
% 1('1&!# 1!24'( 1('"%& 1!!'(1( 1('##1
( 2!'!%%1 11'%(( 2!'2242 (##'&&( 2!'((
2&'"&& %22'#1 2&'%#%%1 %14'!#
2&'#(!&
" 2('4!#% 4!!'2(1" 2('#((2# &'(!!2 2'1#%4
# &!'!"&% &1('2%(& &!'&&!"
&1!'##2 &!'%#4#
1! &&'42(1" 2%('1(( &&'!" 2%1'#!41
&&'##4&&
11 &('("" 211'!" &'!"(% 2!"'1"%2 &'&
12 4!'11142 1'"#41 4!'44#44 14'#&&4 4!'#&2
1& 4&'4%4!4 1%1'%"4 4&'"2!22 14#'!%%
44'1#2(&
14 4('#((( 1&!'(# 4'1#1!1 12"'%22% 4'%#2!
1% %!'1" 11&'"%2& %!'%(1" 111'#%4 %!'##1%
1( %&'4"1"# 1!!'!(%% %&'#&2%" #"'4!!!4
%4'!#&
1 %('"24%1 ""'(& %'&!&& "'1(4!% %'#!&
1" (!'1(1& #'!(4!( (!'(41( '4"1" (1'1"#"
inelasti) 1# (&'%!#% !'#(!%% (4'!44#4 (#'#%&
(4'%"#24
elasti) 2! (('"%2& (4'!41"# ('41%& (2'#(!&
('#""(
too slener 21 !'1#4## %"'!""" !'"(%2 %'12111 1'&""1
22 &'%&( %2'#21" 4'1%& %2'!4(& 4'"%4
2& ('""!22 4"'424" '%2"!# 4'(1"#2 "'1"(#
24 "!'222"4 44'4&%4 "!'"#""" 4&'&&&%
"1'%"(4
2% "&'%(%4( 4!'#"("1 "4'2(#(( 4!'&!4(( "4'#"%"4
2( "('#!"!" &'"#4(1 "'(4!4% &'2( ""'&"%2
2 #!'2%! &%'1%" #1'!1124 &4'%%4% #1'"4
2" #&'%#&&1 &2'(44& #4'&"2!2
&2'1&!(& #%'1"414
2# #('#&%#& &!'4%#"" #'%2"1 2#'#%2#&
#"'%"&%
&! 1!!'2"( 2"'4(&!( 1!1'12&( 2'#"#&%
1!1'#"&
&1 1!&'(212 2('(%(&% 1!4'4#44 2('2121
1!%'&"24
&2 1!('#(&" 2%'!1(&( 1!'"(%2 24'(!!!1 1!"'"1#
&& 11!'&!(4 2&'%2&1# 111'2&(
2&'1&1(# 112'1"1&
&4 11&'(4# 22'1%#"2 114'(!( 21'#1!1 11%'%"!
&% 11('##1( 2!'#11(4 11'#% 2!'%(&( 11"'#"!2
&( 12!'&&4& 1#'((!2 121'&4"& 1#'4&!%
122'&#(
& 12&'((# 1"'12!2 124'1#1 1"'4!!%# 12%'#
&" 12'!1#% 1'4!14 12"'!"## 1'444"" 12#'1"%
1&!'&(21 1('"42!% 1&1'4(! 1('%(14 1&2'%#
4! 1&&'!4 1('!1!4 1&4'"&1% 1%'44!1
1&%'#&
-
8/16/2019 Strength Axial Compression Steel
16/30
HP-12X
& "4 4 (&
21'4 24'( 21'" 1"'4
&'4# 2'#4 2'#2 2'""
+e $/r +e $/r +e $/r +e $/r
24('(4 &'4&"% 242!#'%2 4'!"1(&& 11"!'2 4'1!#%"#
1(#4'&2 4'1((((
(1#1'#11 ('"(#1 (!%2'&# "'1(&2(% 42#%'!( "'21#1"
42&('"2# "'&&&&&&
2%1'#( 1!'&1%1# 2("#'#4( 12'244# 1#!"'#1# 12'&2"
1""&'!&% 12'%
1%4'#" 1&'%&%" 1%1&'!#% 1('&2(%& 1!&'(
1('4&"&( 1!%#'2! 1('((((
##!'!% 1'1#1#" #("'&"!( 2!'4!"1( ("'21! 2!'%4#% ('"#2
2!'"&&&&
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4!'%"" 2%
%!%'4(21 24'!(" 4#4'!1" 2"'%14& &%!'(1 2"'(12
&4%'"(&( 2#'1(((
&"('##44 2'%!1( &"'2& &2'(%&!( 2("'441
&2'"(1 2(4'"!1" &&'&&&&&
&!%'&4 &!'#4%%( 2#"'""2# &('&4(# 212'1!21
&('#"(& 2!#'22(1 &'%
24'((4 &4'&"% 242'!#%2 4!'"1(&& 11'"!2 41'!#%"#
1(#'4&2 41'((((
2!4'(#1& &'"22&% 2!!'!"( 44'"##( 141'#"% 4%'2!%4"
14!'!(!% 4%'"&&&&
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%!
14('%%41 44'(##14 14&'2%1( %&'!(122 1!1'(%"4
%&'424(( 1!!'2" %4'1(((
12('&(%% 4"'1&%4 12&'%1# %'142"( "'(%442 %'%&42%
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11!'!"4 %1'%%#& 1!'%#" (1'2244# ('&%(4 (1'(4&"4
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14'((!&1 141'(((
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14'#4%2 1&'!((& 1%!
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12'&#&4 1%4'1((
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1(4'&"&( 1!'%#2! 1(('(((
-
8/16/2019 Strength Axial Compression Steel
17/30
HP-1!X HP-"X
%& % 42 &(
1%'% 1(' 12'4 1!'(
2'"( 2'4% 2'41 1'#%
+e $/r +e $/r +e $/r +e $/r
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11%44'&% ('1%&"4(
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12'&!(#
1"&1'## 12'%"41 1"!('44% 14'(#&"" 1&2%'(&"
14'#&( 12"2'!% 1"'4(1%4
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21'%21( 24'(1%&"
(%#'44% 2!'##!2 (%!'&2!& 24'4"#" 4'22#( 24'"#(2
4(1'&" &!'(#2&
4%'#4#( 2%'14"& 4%1'(11& 2#'&"( &&1'4!#%
2#'"%%2 &2!'((& &('#2&!"
&&('4%2" 2#'&!(& &&1'#(1 &4'2"%1
24&'4"4% &4'"%4 2&%'%#"# 4&'!(#2
2%'%#( &&'%((4& 2%4'!&14 '1"&( 1"('41"
'"&4!2 1"!'&"!4 4#'2&!
2!&'%&&2 &'(224 2!!'1(1 44'!"1(& 14'2#&1
44'"1&2" 142'%22" %%'&"4(2
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11%'44&% (1'%&"4(
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-
8/16/2019 Strength Axial Compression Steel
18/30
+e
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-
8/16/2019 Strength Axial Compression Steel
19/30
Available Strength in Axial Compression, kips
HP-Shapes
Shape HP14X HP12X
lb/ft 11 1!2 "# "4 4
$l
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-
8/16/2019 Strength Axial Compression Steel
20/30
+ 42 . 2#!!!
!'#
HP1!X HP"X
(& %&) % 42 &(
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-
8/16/2019 Strength Axial Compression Steel
21/30
HP-14X
11 1!2 "#
Ag &4'4 &!'1 2('1
r &'%# &'%( &'%&
$ $/r +e $/r +e $/r
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4 1&'&!4 1(!1'!4 1&'4"&1% 1%4'4!1
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11 &('("" 211'!" &'!"(% 2!"'1"%2 &'&
12 4!'11142 1'"#41 4!'44#44 14'#&&4 4!'#&2
1& 4&'4%4!4 1%1'%"4 4&'"2!22 14#'!%%
44'1#2(&
14 4('#((( 1&!'(# 4'1#1!1 12"'%22% 4'%#2!
1% %!'1" 11&'"%2& %!'%(1" 111'#%4 %!'##1%
1( %&'4"1"# 1!!'!(%% %&'#&2%" #"'4!!!4
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1 %('"24%1 ""'(& %'&!&& "'1(4!% %'#!&
1" (!'1(1& #'!(4!( (!'(41( '4"1" (1'1"#"
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(4'%"#24
elasti) 2! (('"%2& (4'!41"# ('41%& (2'#(!&
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too slener 21 !'1#4## %"'!""" !'"(%2 %'12111 1'&""1
22 &'%&( %2'#21" 4'1%& %2'!4(& 4'"%4
2& ('""!22 4"'424" '%2"!# 4'(1"#2 "'1"(#
24 "!'222"4 44'4&%4 "!'"#""" 4&'&&&%
"1'%"(4
2% "&'%(%4( 4!'#"("1 "4'2(#(( 4!'&!4(( "4'#"%"4
2( "('#!"!" &'"#4(1 "'(4!4% &'2( ""'&"%2
2 #!'2%! &%'1%" #1'!1124 &4'%%4% #1'"4
2" #&'%#&&1 &2'(44& #4'&"2!2
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2# #('#&%#& &!'4%#"" #'%2"1 2#'#%2#&
#"'%"&%
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&& 11!'&!(4 2&'%2&1# 111'2&(
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&4 11&'(4# 22'1%#"2 114'(!( 21'#1!1 11%'%"!
&% 11('##1( 2!'#11(4 11'#% 2!'%(&( 11"'#"!2
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&" 12'!1#% 1'4!14 12"'!"## 1'444"" 12#'1"%
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4! 1&&'!4 1('!1!4 1&4'"&1% 1%'44!1
1&%'#&
-
8/16/2019 Strength Axial Compression Steel
22/30
HP-12X
& "4 4 (&
21'4 24'( 21'" 1"'4
&'4# 2'#4 2'#2 2'""
+e $/r +e $/r +e $/r +e $/r
24('(4 &'4&"% 242!#'%2 4'!"1(&& 11"!'2 4'1!#%"#
1(#4'&2 4'1((((
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1('4&"&( 1!%#'2! 1('((((
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4!'%"" 2%
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-
8/16/2019 Strength Axial Compression Steel
23/30
HP-1!X HP-"X
%& % 42 &(
1%'% 1(' 12'4 1!'(
2'"( 2'4% 2'41 1'#%
+e $/r +e $/r +e $/r +e $/r
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12'&!(#
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21'%21( 24'(1%&"
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4(1'&" &!'(#2&
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&&('4%2" 2#'&!(& &&1'#(1 &4'2"%1
24&'4"4% &4'"%4 2&%'%#"# 4&'!(#2
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44'"1&2" 142'%22" %%'&"4(2
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11%'44&% (1'%&"4(
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41'21%4 "&'#1(!" 4!'(4%!2 #'#%#1" 2#'"2("% ##'%"%!( 2"'"(!"
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-
8/16/2019 Strength Axial Compression Steel
24/30
+e
%%'#%"
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42'&24
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4'2&24
-
8/16/2019 Strength Axial Compression Steel
25/30
Available Strength in Axial Compression, kips
HP-Shapes
Shape HP14X HP12X
lb/ft 11 1!2 "# "4 4
$l
! 1424'1( 124('14 1!"!'%4 ""%'#( 1!1"'44 #!2'%2
1 142&'!# 124%'1"" 1!#' ""%'2%% 1!1'2## #!1'4#%&
2 141#'""% 1242'&&( 1!'1"% ""&'14(1 1!1&'""%
"#"'42"
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-
8/16/2019 Strength Axial Compression Steel
26/30
+ 4( . 2#!!!
!'#
HP1!X HP"X
(& %&) % 42 &(
(1'( (41' (#1'&" %1&'&( 4&"'"4
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'"411 (22'#"!4 ((4'!422 4#2'%# 411'(&(
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4'4((2 #'%"% &(2'%%"# 2(&'4%1% 1%"'!"% $/r0 2!!
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$/r
-
8/16/2019 Strength Axial Compression Steel
27/30
HP-14X
11 1!2 "#
Ag &4'4 &!'1 2('1
r &'%# &'%( &'%&
$ $/r +e $/r +e $/r
!
1 &'&42(1" 2%(1('( &'&!" 2%1#!'41
&'#4&&
2 ('("%2& (4!4'1"# ('41%& (2#'(!& ('#""(
& 1!'!2"( 2"4('&!( 1!'112&( 2#"'#&%
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4 1&'&!4 1(!1'!4 1&'4"&1% 1%4'4!1
1&'%#&
% 1('1&!# 1!24'( 1('"%& 1!!'(1( 1('##1
( 2!'!%%1 11'%(( 2!'2242 (##'&&( 2!'((
2&'"&& %22'#1 2&'%#%%1 %14'!#
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1! &&'42(1" 2%('1(( &&'!" 2%1'#!41
&&'##4&&
11 &('("" 211'!" &'!"(% 2!"'1"%2 &'&
12 4!'11142 1'"#41 4!'44#44 14'#&&4 4!'#&2
1& 4&'4%4!4 1%1'%"4 4&'"2!22 14#'!%%
44'1#2(&
14 4('#((( 1&!'(# 4'1#1!1 12"'%22% 4'%#2!
1% %!'1" 11&'"%2& %!'%(1" 111'#%4 %!'##1%
1( %&'4"1"# 1!!'!(%% %&'#&2%" #"'4!!!4
%4'!#&
1 %('"24%1 ""'(& %'&!&& "'1(4!% %'#!&
1" (!'1(1& #'!(4!( (!'(41( '4"1" (1'1"#"
inelasti) 1# (&'%!#% !'#(!%% (4'!44#4 (#'#%&
(4'%"#24
elasti) 2! (('"%2& (4'!41"# ('41%& (2'#(!&
('#""(
too slener 21 !'1#4## %"'!""" !'"(%2 %'12111 1'&""1
22 &'%&( %2'#21" 4'1%& %2'!4(& 4'"%4
2& ('""!22 4"'424" '%2"!# 4'(1"#2 "'1"(#
24 "!'222"4 44'4&%4 "!'"#""" 4&'&&&%
"1'%"(4
2% "&'%(%4( 4!'#"("1 "4'2(#(( 4!'&!4(( "4'#"%"4
2( "('#!"!" &'"#4(1 "'(4!4% &'2( ""'&"%2
2 #!'2%! &%'1%" #1'!1124 &4'%%4% #1'"4
2" #&'%#&&1 &2'(44& #4'&"2!2
&2'1&!(& #%'1"414
2# #('#&%#& &!'4%#"" #'%2"1 2#'#%2#&
#"'%"&%
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1!1'#"&
&1 1!&'(212 2('(%(&% 1!4'4#44 2('2121
1!%'&"24
&2 1!('#(&" 2%'!1(&( 1!'"(%2 24'(!!!1 1!"'"1#
&& 11!'&!(4 2&'%2&1# 111'2&(
2&'1&1(# 112'1"1&
&4 11&'(4# 22'1%#"2 114'(!( 21'#1!1 11%'%"!
&% 11('##1( 2!'#11(4 11'#% 2!'%(&( 11"'#"!2
&( 12!'&&4& 1#'((!2 121'&4"& 1#'4&!%
122'&#(
& 12&'((# 1"'12!2 124'1#1 1"'4!!%# 12%'#
&" 12'!1#% 1'4!14 12"'!"## 1'444"" 12#'1"%
1&!'&(21 1('"42!% 1&1'4(! 1('%(14 1&2'%#
4! 1&&'!4 1('!1!4 1&4'"&1% 1%'44!1
1&%'#&
-
8/16/2019 Strength Axial Compression Steel
28/30
HP-12X
& "4 4 (&
21'4 24'( 21'" 1"'4
&'4# 2'#4 2'#2 2'""
+e $/r +e $/r +e $/r +e $/r
24('(4 &'4&"% 242!#'%2 4'!"1(&& 11"!'2 4'1!#%"#
1(#4'&2 4'1((((
(1#1'#11 ('"(#1 (!%2'&# "'1(&2(% 42#%'!( "'21#1"
42&('"2# "'&&&&&&
2%1'#( 1!'&1%1# 2("#'#4( 12'244# 1#!"'#1# 12'&2"
1""&'!&% 12'%
1%4'#" 1&'%&%" 1%1&'!#% 1('&2(%& 1!&'(
1('4&"&( 1!%#'2! 1('((((
##!'!% 1'1#1#" #("'&"!( 2!'4!"1( ("'21! 2!'%4#% ('"#2
2!'"&&&&
("'##!1 2!'(&!& (2'4"(( 24'4"#" 4'22#( 24'(%%&
4!'%"" 2%
%!%'4(21 24'!(" 4#4'!1" 2"'%14& &%!'(1 2"'(12
&4%'"(&( 2#'1(((
&"('##44 2'%!1( &"'2& &2'(%&!( 2("'441
&2'"(1 2(4'"!1" &&'&&&&&
&!%'&4 &!'#4%%( 2#"'""2# &('&4(# 212'1!21
&('#"(& 2!#'22(1 &'%
24'((4 &4'&"% 242'!#%2 4!'"1(&& 11'"!2 41'!#%"#
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2!4'(#1& &'"22&% 2!!'!"( 44'"##( 141'#"% 4%'2!%4"
14!'!(!% 4%'"&&&&
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%!
14('%%41 44'(##14 14&'2%1( %&'!(122 1!1'(%"4
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12('&(%% 4"'1&%4 12&'%1# %'142"( "'(%442 %'%&42%
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&&'#4"2 #2'"&((" &&'2!#21 11!'2!41
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11#'1"1 2!'1%1 12!'"&&&
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1'(&%!# 12#'1((
24'1"1% 11!'!2" 2&'(4211 1&!'(122 1('( 1&1'%!("
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1&%'(1(4 1%'%(22 1&'%
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14'((!&1 141'(((
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14'#4%2 1&'!((& 1%!
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12'&#&4 1%4'1((
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-
8/16/2019 Strength Axial Compression Steel
29/30
HP-1!X HP-"X
%& % 42 &(
1%'% 1(' 12'4 1!'(
2'"( 2'4% 2'41 1'#%
+e $/r +e $/r +e $/r +e $/r
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11%44'&% ('1%&"4(
4121'%4 "'(!" 4!(4'%!2 #'#%#1" 2#"2'("% #'#%"%!( 2""('!"
12'&!(#
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14'#&( 12"2'!% 1"'4(1%4
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21'%21( 24'(1%&"
(%#'44% 2!'##!2 (%!'&2!& 24'4"#" 4'22#( 24'"#(2
4(1'&" &!'(#2&
4%'#4#( 2%'14"& 4%1'(11& 2#'&"( &&1'4!#%
2#'"%%2 &2!'((& &('#2&!"
&&('4%2" 2#'&!(& &&1'#(1 &4'2"%1
24&'4"4% &4'"%4 2&%'%#"# 4&'!(#2
2%'%#( &&'%((4& 2%4'!&14 '1"&( 1"('41"
'"&4!2 1"!'&"!4 4#'2&!
2!&'%&&2 &'(224 2!!'1(1 44'!"1(& 14'2#&1
44'"1&2" 142'%22" %%'&"4(2
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