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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
2 1%42'#% 1&%!'!!( 11!'%& #%#'(( 11!1'(1# #('1((4
& 1%&('(( 1&44'41 11(%'(!2 #%%'%& 1!#4'#& #!'1%"
4 1%2'"#" 1&&('(1% 11%"'2" #4#'2% 1!"%'(&4 #(1'"!#
% 1%1('!% 1&2('(%" 114#'#% #42'412 1!&'# #%1'1"
( 1%!&'1&( 1&14'%# 11'&12 #&&'4#&& 1!%#'%!% #&"'&44#
14"'2% 1&!!'4(" 112('"(% #2&'!(1" 1!42'"%# #2&'4!1"
" 14(#'14& 12"4'&(& 1112'(& #11'1!2 1!2&'# #!('4%%2
# 144"'"" 12(('&%1 1!#('"!% "#'""1 1!!2'##1 ""'(24
1! 142('%(% 124('%1# 1!#'&& ""&'2%1( #"!'!441 "('!41411 14!2'2## 1224'#(1 1!(!'&%4 "('&(2% #%%'2#21 "44'"4(&
12 1&('1#( 12!1' 1!'#4( "%!'2"# #2"'"##% "21'1"""
1& 1&4"'&% 11'!4 1!1"'2!# "&2'1!#( #!1'!&"& #('224"
14 1&1"'#%" 11%!'#(% ##%'242# "12'#1&& "1'""( !'11%4
1% 12""'!" 112&'%( #1'1%22 #2'"" "41'(24 4&'!24#
1( 12%%'"(( 1!#% #4('!44% 1'"2%% "1!'4&%( 1%'11#
1 1222'4(1 1!(%'&"" #2!'!2#" %!'11#2 "'%!4 ("('%(&%
1" 11""'!!2 1!&4'"%( "#&'21#" 2'(41 4('!1!" (%'%22&
1# 11%2'(& 1!!&'%2# "(%'2(" !4'"%%( 1&'1&44 (2"'1%(&
2! 111('4"% #1'%&(1 "&'((&& ("1'4""# ("!'!4"1 %#"'(21%
21 1!#'!" #'!!11 "!#'14!# (%'%"" (4('#1"" %(#'!("&
22 1!42'4& #!('!4#1 "!'2!1 (&&'%"& (1&'#!(1 %'((
2& 1!!4'"11 "2'"!1# %1'1%"# (!#'%" %"1'1(!4 %1!'4!(
24 #(('#(!" "'&# 21'#12" %"%'&!"# %4"'"22 4"1'("1
2% #2#'!1% "!%'"#%" (#2'(& %(1'!&4% %1'!2&& 4%&'4!%4
2( "#1'1!%# 2'4(& ((&'42!4 %&('"&" 4"%'""12 42%'&1%
2 "%&'&4( '1"#& (&4'&((2 %12'# 4%%'%!&" "'(!
2" "1%'"%21 !('1 (!%'%(!1 4""'#"" 42%'4#1 &1'#4#1
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&& &!&'442&
&2 (!'%#%4 %"'%21( 4#4'4!## '&22 &2%'(1 2"4'&%
&& (&%'#14 %4"'1!#" 4('#""1 &%'%!&( &!('&22 2('(
&4 (!1'("1" %1'!#4 441'&( &%&'4 2""'%(" 2%2'2%(1
&% %('#11 4""'%4"( 41('%1%% &&&'"1% 22'&14 2&"'!44
&( %&('("%& 4(1'"4 &'(#1 &1%'%2& 2%'(2 22%'!!(2
& %!"'!(& 4&'1( &2'!&" 2#"'!2& 24&'(!# 21&'!!"1
&" 4"1'("" 414'4%4& &%&'&4%# 2"&'1"" 2&1'!14# 2!1'#44
&)
*)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
"2&'"!(4 (#&'#1# 4('24% %%&'#("% 41'4(
"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&'&""&
44'#24( &4'!""1 &21'%&1& 2&2'!%&2 1&!'(4#&
42&'!%% &%&'!&4# 2#'124 21&'%""& 11#'%&%%
"'%%& &&2'&!## 2&'!2% 1#('1(!1 1!#'"1
&4'%1" &11'##& 2%1'(2!% 1"!'"11 1!1'14"
&%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 (%'%&42 (('2!!4( (('((((
"%'!11" %"'4%22 "&'(##% (#'&"( %#'442# (#'"(&!1 %"'(4124 !'"&&&&
('44&&4 (1'"#112 4'2!& &'4(# %&'!2%%2 &'#2( %2'&!(%& %
("'(!"4& (%'&2#%1 ('!(2& '%%1!2 4'%#! "'!"21# 4('#4%4" #'1(((
(1'#1#11 ("'(#1 (!'%2&# "1'(&2(% 42'#%!( "2'1#1" 42'&("2# "&'&&&&&
%('1(24% 2'2!(& %4'"#("( "%'142# &"'#%%2 "('&!1& &"'42#2# "'%
%1'12"1 %'(44 %!'!1#(( "#'#%#2 &%'4#(42 #!'41!#( &%'!1%12 #1'((((
4('"1#4 #'!"&!# 4%'(4(" #&'"%% &2'4("" #4'%2!%% &2'!&(%2 #%'"&&&&
42'###&" "2'%214# 42'!&!41 #'#%#1" 2#'"2("% #"'(&!14 2#'4224& 1!!
'(2"2& "%'#%#"# &"'&%2& 1!2'!4!" 2'4""4& 1!2' 2'11%1 1!4'1((
&('(&"%2 "#'"2" &%'"12"# 1!('1224 2%'414( 1!('"4#& 2%'! 1!"'&&&&
&&'#4"2 #2'"&((" &&'2!#21 11!'2!41 2&'%((# 11!'#%"# 2&'24&% 112'%
&1'%#1&" #('2%! &!'"#4" 114'2"% 21'#1&(1 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
1(4'"(1# 41'#%"!4 1(2'%"!1 4"'##%# 11#'&!4 4#'#2%& 11%'44&% (1'%&"4(
1&('24#% 4('1%&"% 1&4'&(& %&'"%% #"'(!11 %4'1" #%'4!"2 ('(#2&1114'4"4 %!'&4#(% 112'#!2" %"'%%1 "2'"%2& %#'%1!4 "!'1(#! &'"4(1%
#'%%14 %4'%4%4% #('2!12& (&'(&4 !'%#(1 (4'&!2# ("'&!#4 "!
"4'11&2 %"'412( "2'#4#!2 ("'%14& (!'"11& (#'!#%4 %"'"##2 "('1%&"%
&'21#4 (2'#&!( 2'2%"1 &'4(# %&'!2%%2 4'(""" %1'&!"2 #2'&!(#
(4'#1 ('1&2" (&'%!"4 "'&(&% 4('(!44( #'(("!% 4%'!#%1 #"'4(1%4
%'!4%(& 1'&2"( %('2%(!" "&'2(%&1 41'2"2"4 "4'(4& '#4%"& 1!4'(1%4
%!'""&2# %'%244" %!'1#!4 ""'1(&2 &('"2&2 "#'(2(%( &%'(&! 11!'(#2
4%'(("11 #'2!2" 4%'!&(!& #&'!(122 &&'!4#14 #4'(!%"1 &1'#"" 11('#2&1
41'21%4 "&'#1(!" 4!'(4%!2 #'#%#1" 2#'"2("% ##'%"%!( 2"'"(!" 12&'!(#
&'&"&(4 ""'111"# &('"((2& 1!2'"%1 2'!%&"& 1!4'%(4& 2('1(( 12#'2&!"
&4'!(2& #2'&!(# &&'%#!#2 1!'%%1 24'(%!2# 1!#'%4&( 2&'"%1#% 1&%'&"4(
&1'1(4"2 #('%!&% &!'&&4 112'(%&1 22'%%& 114'%22" 21'"22#( 141'%&"%
2"'(21"% 1!!'(##& 2"'22%1 11'%%1 2!'1&!# 11#'%!21 2!'!422 14'(#2&
2('&# 1!4'"#%1 2('!12"1 122'44# 1#'!"#1# 124'4"1& 1"'4!#% 1%&'"4(2
24'&""% 1!#'!#!# 24'!%!&1 12'&4(# 1'(4#!& 12#'4(!( 1'!4& 1(!
22'(14" 11&'2"( 22'&!1# 1&2'244# 1('&(%# 1&4'4" 1%'"&%" 1(('1%&"
21'!2"& 11'4"2% 2!'&2% 1&'142# 1%'21" 1'41#1 14'24#& 12'&!
1#'(!&!" 121'("& 1#'&&1( 142'!4!" 14'1"(& 144'"& 1&'2(#& 1"'4(1%
1"'&1## 12%'"41 1"'!(44% 14('#&"" 1&'2%(&" 14#'&( 12'"2!% 1"4'(1%4
1'1%%24 1&!'!(## 1('#1" 1%1'"&( 12'414#2 1%4'&%(" 12'!12"% 1#!'(#2
1('!### 1&4'2(% 1%'"(#( 1%('&4 11'(%111 1%#'&&(1 11'2&" 1#('#2&1
1%'1&""& 1&"'4(1% 14'#2#& 1(1'(&2 1!'#%%(# 1(4'&1%4 1!'(!!" 2!&'!(#
14'2(141 142'(%& 14'!(4!2 1(('%&!( 1!'&2!1 1(#'2#4( #'#"(4%# 2!#'2&!"
1&'4%"11 14('"%&1 1&'21"4 11'42"( #'&" 14'2 #'42%( 21%'&"4(
12'2!"2 1%1'!4# 12'%44( 1('&2(% #'2!%"1# 1#'2%&1 "'#!(4 221'%&"%
12'!42% 1%%'244" 11'"%"& 1"1'224% "'14#&1 1"4'2&24 "'4&2("% 22'(#2&
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
%'%#%"
(2'4(24(%2'4"%"2
44'21(4
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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& !%'(#2&
2 1111'#41 #2'#!#4 "4&'%"4 (#1'(&( #4'24" !&'"12%
& 11!"'(% #!'!!4 "41'!22% ("#'4" #!'&4 !!'(#!
4 11!4'12 #(%'#%1 "&'44"( ("('4"#( "%'#&&% (#('&4&&
% 1!#"'2# #(!'(4" "&2'"%" ("2'(%% #'%4& (#!'#&%
( 1!#1'2! #%4'4(4 "2'&2!" ('##2 2'2(" ("4'!!4
1!"2'"#% #4'!!# "2!'"!&% (2'%&&( (&'%12 (('2!#&
" 1!&'&"2 #&"'(114 "1&'&4& ((('2"42 %&'%&4 (('2%!#
# 1!(2'!& #2#'11%4 "!4'#"# (%#'21( 42'&"24 (%'241%
1! 1!%!'"#2 #1"'(1%" #%'2 (%1'%21& &!'114 (4('2&21
11 1!&'##1 #!'14"# "%'(2(4 (4&'!(12 1('"## (&4'2"2
12 1!24'!4& "#4'%42 4'1!1 (&&'#21& !2'4% (21'4
1& 1!!#'!#% ""1'4& (&'!1(( (24'1&4 ("'24!" (!'""
14 ##&'1#%% "('&%2 %!'%"% (1&'&&& (1'1%"1 %#&'&(24
1% #('4 "%2'4&(2 &'4%#% (!2'%%2 (%4'&!2# %"'2%""
1( #%"'%4# "&('%2 2&'("1" %#1'2& (&('%&2 %(2'%&"%
1 #4!'&24& "2!'41## !#'2#" %#'21% (1"'%""2 %4('2&2
1" #21'1(& "!&'422( (#4'&%4 %(('&(4 %##'"""2 %2#'%&%#
1# #!1'&&2% "%'"&( ("'"##( %%&'"&44 %"!'&4 %12'#&
2! ""!'"#1% ('1(" ((2'#"14 %4!'%%2# %(1'2!(1 4#4'#&(%
21 "%#'#!1" 4#'11" (4('(4#2 %2('#&&% %41'&"4& 4'21#%
22 "&"'42%& &!'!#%" (2#'#%2& %1&'!1"& %21'&44 4%#'&1#2
2& "1('%241 1!'!%# (12'#4!4 4#"'"4#2 %!1'122 441'&!4#
24 #4'2(!1 (#1'!!&" %#%'((2( 4"4'4(" 4"!'#&&4 42&'24&"
2% 1'(#4" (1'!44( %"'1(" 4(#'#1(1 4(!'!&1 4!%'2!!"
2( 4"'""# (%!'""2# %(!'%!4" 4%%'2&4& 44!'%%!& &"'2&
2 2%'#!2" (&!'%2 %42'2!4 44!'4(2( 42!'%4!" &(#'41&%
2" !2'#4# (1!'1(4( %24'"(1& 42%'(4 4!!'&(% &%1'"&(
2# (#'(22( %"#'11 %!('#2 41!'"!4% &"1'1#%( &&4'##
&! (%('441( %(#'2(& 4"#'!#"& %'##& &(1'#21 &1'&1!%
&1 (&&'&!%" %4"'"((4 41'2"!4 &"1'24!% &4&'11% &!!'%%#(
&2 (1!'2(1 %2"'%(" 4%&'%%#& &(('%"11 &24'(1% 2"4'1"1
&& %"'&%1 %!"'4114 4&%'#&" &%2'!4(# &!('&22 2('(
&4 %(4'(2 4""'4&"# 41"'%(!( &&'(("& 2""'%(" 2%2'2%(1
&% %42'21"1 4("'(# 4!1'&%42 &2&'441 22'&14 2&"'!44
&( %2!'!4!1 44#'2!1# &"4'&"2 &!#'4#1 2%'(2 22%'!!(2
& 4#"'1"2# 4&!'!!#4 &('("# 2#%'441 24&'(!# 21&'!!"1
&" 4('("&2 411'144 &%1'2# 2"2'2%(2 2&1'!14# 2!1'#44
4%%'%%1 '(& &&%'21&% 2("'"%1 21#'&1#" 1#1'21&
4! 4&4'1%1 &4'!4% &1"'"#4 2%%'%1 2!"'4#!# 1"2'2%%
&)
*)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 %&"'&%&% #'((# &4!'121
%#1'2(& 4#"'!2"% %&4'#(4 '!("2 &&'&&2
%"'%!%% 4#4'"!" %&!'2%(1 &'4%(# &&2'(%"
%"2'(#2 4#!'(## %24'2(&1 &""'"(2 &2('422
%('"( 4"%'2!" %1'!&!2 &"&'&1"# &1#'(%4"
%!'!%!4 4#'#!&" %!"'(1!" &('"(# &11'4((
%(2'2""( 4&'2"& 4##'!((& &(#'%(&1 &!2'&
%%&'(1#( 4(%'"" 4""'4(%( &(1'4%&& 2#2'22(1
%44'!""" 4%'4"1 4('"" &%2'%##" 2"1'&(
%&&'4%% 44"'#2%& 4(4'4!24 &4&'!((% 2(#'"24
%22'(42 4'4%1 4%1'1!(( &&2'#2! 2%'&42
%1!'"&(1 42#' 4&'!"(1 &22'2&2" 24%'2!&4
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&&'("!
41&'(!# &4('(&" &2('4"& 2&"'&%2 1%"'!"% $/r0 2!!
"'% &&&'1&4 &1!'!11" 22%'#&1 14&'&""&
&"&'!4 &2!'(% 2#&'(2%2 21&'(!%# 1&!'(4#&
&('(!#% &!'%(" 2'4!&1 2!1'4212 11#'%&%%
&%2'1%2( 2#4'4((( 2(1'41(2 1"#'4&(4 1!#'"1
&&('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#
24'(#2% 2!('!#( 1(&'(44# 12%'%42% (%'"!!4"
2&&'"&&2 1#4'2411 1%&'%(# 11'%&( (1'%221
21#'"(&1 1"2'(4& 144'41!& 11!'&4
2!'12!1 12'!(1& 1&('!4!% 1!&'%41
1#%'4%&" 1(2'&(# 12"'&" #'4!(
1"4'4( 1%&'44% 121'&44" #2'2&%2
14'"#4 14%'2#! 114'"42 "'1"22(
1(%'"1!# 1&'444 1!"'#!" "2'%&&
1%'41( 1&!'11 1!&'& "'24(("
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!'"&&&&
("'##!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 (%'%&42 (('2!!4( (('((((
"%'!11" %"'4%22 "&'(##% (#'&"( %#'442# (#'"(&!1 %"'(4124 !'"&&&&
('44&&4 (1'"#112 4'2!& &'4(# %&'!2%%2 &'#2( %2'&!(%& %
("'(!"4& (%'&2#%1 ('!(2& '%%1!2 4'%#! "'!"21# 4('#4%4" #'1(((
(1'#1#11 ("'(#1 (!'%2&# "1'(&2(% 42'#%!( "2'1#1" 42'&("2# "&'&&&&&
%('1(24% 2'2!(& %4'"#("( "%'142# &"'#%%2 "('&!1& &"'42#2# "'%
%1'12"1 %'(44 %!'!1#(( "#'#%#2 &%'4#(42 #!'41!#( &%'!1%12 #1'((((
4('"1#4 #'!"&!# 4%'(4(" #&'"%% &2'4("" #4'%2!%% &2'!&(%2 #%'"&&&&
42'###&" "2'%214# 42'!&!41 #'#%#1" 2#'"2("% #"'(&!14 2#'4224& 1!!
'(2"2& "%'#%#"# &"'&%2& 1!2'!4!" 2'4""4& 1!2' 2'11%1 1!4'1((
&('(&"%2 "#'"2" &%'"12"# 1!('1224 2%'414( 1!('"4#& 2%'! 1!"'&&&&
&&'#4"2 #2'"&((" &&'2!#21 11!'2!41 2&'%((# 11!'#%"# 2&'24&% 112'%
&1'%#1&" #('2%! &!'"#4" 114'2"% 21'#1&(1 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'%
1%'4#" 1&'%&%" 1%'1&!#% 1(&'2(%& 1!'&( 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
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
1(4'"(1# 41'#%"!4 1(2'%"!1 4"'##%# 11#'&!4 4#'#2%& 11%'44&% (1'%&"4(
1&('24#% 4('1%&"% 1&4'&(& %&'"%% #"'(!11 %4'1" #%'4!"2 ('(#2&1
114'4"4 %!'&4#(% 112'#!2" %"'%%1 "2'"%2& %#'%1!4 "!'1(#! &'"4(1%
#'%%14 %4'%4%4% #('2!12& (&'(&4 !'%#(1 (4'&!2# ("'&!#4 "!
"4'11&2 %"'412( "2'#4#!2 ("'%14& (!'"11& (#'!#%4 %"'"##2 "('1%&"%
&'21#4 (2'#&!( 2'2%"1 &'4(# %&'!2%%2 4'(""" %1'&!"2 #2'&!(#
(4'#1 ('1&2" (&'%!"4 "'&(&% 4('(!44( #'(("!% 4%'!#%1 #"'4(1%4
%'!4%(& 1'&2"( %('2%(!" "&'2(%&1 41'2"2"4 "4'(4& '#4%"& 1!4'(1%4
%!'""&2# %'%244" %!'1#!4 ""'1(&2 &('"2&2 "#'(2(%( &%'(&! 11!'(#2
4%'(("11 #'2!2" 4%'!&(!& #&'!(122 &&'!4#14 #4'(!%"1 &1'#"" 11('#2&1
41'21%4 "&'#1(!" 4!'(4%!2 #'#%#1" 2#'"2("% ##'%"%!( 2"'"(!" 12&'!(#
&'&"&(4 ""'111"# &('"((2& 1!2'"%1 2'!%&"& 1!4'%(4& 2('1(( 12#'2&!"
&4'!(2& #2'&!(# &&'%#!#2 1!'%%1 24'(%!2# 1!#'%4&( 2&'"%1#% 1&%'&"4(
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2"'(21"% 1!!'(##& 2"'22%1 11'%%1 2!'1&!# 11#'%!21 2!'!422 14'(#2&
2('&# 1!4'"#%1 2('!12"1 122'44# 1#'!"#1# 124'4"1& 1"'4!#% 1%&'"4(2
24'&""% 1!#'!#!# 24'!%!&1 12'&4(# 1'(4#!& 12#'4(!( 1'!4& 1(!
22'(14" 11&'2"( 22'&!1# 1&2'244# 1('&(%# 1&4'4" 1%'"&%" 1(('1%&"
21'!2"& 11'4"2% 2!'&2% 1&'142# 1%'21" 1'41#1 14'24#& 12'&!
1#'(!&!" 121'("& 1#'&&1( 142'!4!" 14'1"(& 144'"& 1&'2(#& 1"'4(1%
1"'&1## 12%'"41 1"'!(44% 14('#&"" 1&'2%(&" 14#'&( 12'"2!% 1"4'(1%4
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1%'1&""& 1&"'4(1% 14'#2#& 1(1'(&2 1!'#%%(# 1(4'&1%4 1!'(!!" 2!&'!(#
14'2(141 142'(%& 14'!(4!2 1(('%&!( 1!'&2!1 1(#'2#4( #'#"(4%# 2!#'2&!"
1&'4%"11 14('"%&1 1&'21"4 11'42"( #'&" 14'2 #'42%( 21%'&"4(
12'2!"2 1%1'!4# 12'%44( 1('&2(% #'2!%"1# 1#'2%&1 "'#!(4 221'%&"%
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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!
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
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
! 1&!!'&2 11&'" #"('%" "!"'#2 #2#'"" "24'!4
1 12##'42" 11&('#"( #"%'"" "!"'&&2" #2"'#2# "2&'1"%
2 12#('%( 11&4'(!" #"&'"& "!('% #2('!"1# "2!'(2"
& 12#2'&14 11&!'(%( #"!'2#" "!&'(%!" #21'&%(1 "1('&"&
4 12"('121 112%'14 #%'4( ##'%(4 #14'"!% "1!'4(
% 12"'2!2 111"'1!2 #(#'22"% #4'&("1 #!('% "!2'#4%
( 12("'%# 11!#'%%2 #(1'(#!" ""'!4"4 "#('2%!4 #&'"&(1
12%'&2& 1!##'%&2 #%2'"%"2 "!'(44( ""4'4!( "&'2!&&
" 1244'44 1!""'!"2 #42'(% 2'1"" "!'#&1 1'111(
# 12&!'!14 1!%'2% #&1'4(!% (2'14( "%%'#1"4 %'(&&2
1! 1214'!" 1!(1'!" #1"'#"&( %2'2(42 "'4 42'"4
11 11#('1 1!4%'(%1 #!%'&" 4!'""!2 "21'%#41 2('"41&
12 11'# 1!2#'!!1 "#!'2 2"'(!# "!2'4"4% !#'!(
1& 11%'#&& 1!11'2!% "%'!(2 1%'%!2% "2'21 (#1'%&"4
14 11&('(( ##2'&&!1 "%"'4%24 !1'(114 (!'#!2( (2'4%
1% 1114'2# #2'44#% "4!'#(&4 ("('##1( &"'(%%" (%2'%1&
1( 1!#!'"2% #%1'(&"1 "22'((21 (1'!!& 1%'%#&( (&1'"(4"
1 1!(('4 #2#'#&2 "!&'(1% (%%'#(2 (#1'"&42 (1!'(!1#
1" 1!41'!#2 #!'%&4 "&'#!!2 ('&( (('4#(2 %""'"&1
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2! #""'1"( "(!'(%% 42'&%4 (!%'!1&2 (1'%%%" %44'1#4
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24 "%'(2 (1'1"24 (%%'%1%% %&2'4&!( %1%'"1( 4%&'&"(#
2% "4('"!&( &%'%#4 (&&'1!#( %1&'"1# 4#!'%%#2 4&!'#1"%
2( "1'(#" !#'"44 (1!'(!22 4#%'1" 4(%'(1(& 4!"'14#
2 ""'44 ("4'!#"( %""'!%# 4('44(% 441'!&"2 &"('"%1#
2" %#'2 (%"'& %(%'%4%# 4%'#& 41('#!&4 &(%'#(
2# &!'1442 (&2'(((1 %4&'122( 4'2&2" &'2"& &44'421(
&! !1'12 (!'14(& %2!'"4"% 42!'"12# &!'24&" &2&'#%2
&1 (2'422 %"1'"4&2 4#"'#& 4!2'%"!& &4'12&& &!&'442&
&2 (4&'#% %%('"1(# 4('#( &"4'%"# &2%'(1 2"4'&%
&& (1%'""22 %&2'12&" 4%%'4(2# &(('"4#2 &!('&22 2('(
&4 %""'2!(% %!'"1(( 4&4'&1!" &4#'42# 2""'%(" 2%2'2%(1
&% %(1'!! 4"&'#4& 41&'%%&% &&2'&%&1 22'&14 2&"'!44
&( %&4'&2%% 4(!'%% &'22#( &1%'%2& 2%'(2 22%'!!(2
& %!"'21 4&'1( &2'!&" 2#"'!2& 24&'(!# 21&'!!"1
&" 4"1'("" 414'4%4& &%&'&4%# 2"&'1"" 2&1'!14# 2!1'#44
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%%
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*)Pn *)Pn *)Pn *)Pn *)Pn *)Pn
8/16/2019 Strength Axial Compression Steel
20/30
+ 42 . 2#!!!
!'#
HP1!X HP"X
(& %&) % 42 &(
(#%'%2 %"%'# (&1'2( 4("'2 4!!'("
(#4'"" %"%'2((" (&!'&&!( 4("'!!(" #'4#1
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("&'%4( %%'"%1 (1('%%22 4%'4&"1 &"('!42#
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((#'&2& %(&'%&1" %#"'(4"& 44&'1(# &("'4#(2
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(4#'( %4('2(4 %4'4%& 42%'1#%" &4%'2(2%
(&'#(#2 %&('("( %(!'242( 414'&&!1 &&1'"
(2%'14& %2%'"%&" %44'(1 4!2'%144 &1'%&
(11'&&!" %14'!4"1 %2"'1 &"#'"4(( &!2'&2
%#('%2!4 %!1'421# %1!'%"2 &('42#2 2"('(41%
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%(4'&4%& 44'!!1 42'#1#( &4'2 2%&'#"%
%4'1(1& 4%#'&4% 4%&'1& &&2'4" 2&'42!
%2#'&!% 444'2&2 4&2'#!%( &1'4!(2 22!'#!4%
%11'!(1 42"'((!% 412'&%## &!1'"%!% 2!4'%"&4 Che)k $/r
4#2'&4%% 412'414 '(&&% 2"('1"42 1""'%""" 12&'(4&
4&'2##2 ('%%% &!'"%44 2!'%!%# 1&'!&" $/r 0 12&'(4&
4%4'!2!% &"!'1"!& &%!'1444 2%4'#!#1 1%"'!&24 $/r0 2!!
4&4'%##2 &(&'(#44 &2#'(1"2 2'4"1 14&'&""&
41%'122% &4'11" &!#'&"2& 224'&!2( 1&!'(4#&
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&('&&&1 &14'2#"" 2!'1(21 1#4'#"1& 1!#'"1
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&&"'2!& 2"2'!" 2&2'(&& 1('142& #&'%41"1
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2(('!&4& 221'!!&2 14'&(4 12%'%42% !'2(!2#
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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
!
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
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((((
(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 (%'%&42 (('2!!4( (('((((
"%'!11" %"'4%22 "&'(##% (#'&"( %#'442# (#'"(&!1 %"'(4124 !'"&&&&
('44&&4 (1'"#112 4'2!& &'4(# %&'!2%%2 &'#2( %2'&!(%& %
("'(!"4& (%'&2#%1 ('!(2& '%%1!2 4'%#! "'!"21# 4('#4%4" #'1(((
(1'#1#11 ("'(#1 (!'%2&# "1'(&2(% 42'#%!( "2'1#1" 42'&("2# "&'&&&&&
%('1(24% 2'2!(& %4'"#("( "%'142# &"'#%%2 "('&!1& &"'42#2# "'%
%1'12"1 %'(44 %!'!1#(( "#'#%#2 &%'4#(42 #!'41!#( &%'!1%12 #1'((((
4('"1#4 #'!"&!# 4%'(4(" #&'"%% &2'4("" #4'%2!%% &2'!&(%2 #%'"&&&&
42'###&" "2'%214# 42'!&!41 #'#%#1" 2#'"2("% #"'(&!14 2#'4224& 1!!
'(2"2& "%'#%#"# &"'&%2& 1!2'!4!" 2'4""4& 1!2' 2'11%1 1!4'1((
&('(&"%2 "#'"2" &%'"12"# 1!('1224 2%'414( 1!('"4#& 2%'! 1!"'&&&&
&&'#4"2 #2'"&((" &&'2!#21 11!'2!41 2&'%((# 11!'#%"# 2&'24&% 112'%
&1'%#1&" #('2%! &!'"#4" 114'2"% 21'#1&(1 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'%
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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
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
1(4'"(1# 41'#%"!4 1(2'%"!1 4"'##%# 11#'&!4 4#'#2%& 11%'44&% (1'%&"4(
1&('24#% 4('1%&"% 1&4'&(& %&'"%% #"'(!11 %4'1" #%'4!"2 ('(#2&1
114'4"4 %!'&4#(% 112'#!2" %"'%%1 "2'"%2& %#'%1!4 "!'1(#! &'"4(1%
#'%%14 %4'%4%4% #('2!12& (&'(&4 !'%#(1 (4'&!2# ("'&!#4 "!
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(4'#1 ('1&2" (&'%!"4 "'&(&% 4('(!44( #'(("!% 4%'!#%1 #"'4(1%4
%'!4%(& 1'&2"( %('2%(!" "&'2(%&1 41'2"2"4 "4'(4& '#4%"& 1!4'(1%4
%!'""&2# %'%244" %!'1#!4 ""'1(&2 &('"2&2 "#'(2(%( &%'(&! 11!'(#2
4%'(("11 #'2!2" 4%'!&(!& #&'!(122 &&'!4#14 #4'(!%"1 &1'#"" 11('#2&1
41'21%4 "&'#1(!" 4!'(4%!2 #'#%#1" 2#'"2("% ##'%"%!( 2"'"(!" 12&'!(#
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2('&# 1!4'"#%1 2('!12"1 122'44# 1#'!"#1# 124'4"1& 1"'4!#% 1%&'"4(2
24'&""% 1!#'!#!# 24'!%!&1 12'&4(# 1'(4#!& 12#'4(!( 1'!4& 1(!
22'(14" 11&'2"( 22'&!1# 1&2'244# 1('&(%# 1&4'4" 1%'"&%" 1(('1%&"
21'!2"& 11'4"2% 2!'&2% 1&'142# 1%'21" 1'41#1 14'24#& 12'&!
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12'2!"2 1%1'!4# 12'%44( 1('&2(% #'2!%"1# 1#'2%&1 "'#!(4 221'%&"%
12'!42% 1%%'244" 11'"%"& 1"1'224% "'14#&1 1"4'2&24 "'4&2("% 22'(#2&
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!
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
24/30
+e
%%'#%"
1""#'4"#
"'&1
42'&24
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4'#(#!2
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"
& 1414'%%# 12&'%# 1!&'!! "#'(414 1!!"'22 "#&'&
4 14!'1&( 12&!'##4 1!('1"4 "4'%"1 1!!!'&41 ""('2(&
% 1'(% 1222'%%% 1!%#'44 "("'%1#& ##!'&!2" "'24%
( 1&"('14& 1212'&2 1!%!'2 "(!'#%4( #"'1(## "(('&%2#
1&2'((% 12!!'&&4 1!4!'1%( "%2'!##4 #(4'!22( "%&'(%1#
" 1&%'2 11"('(%1 1!2"'!#" "41'##4# #4'#%2# "'22"
# 1&4!'!4% 111'&&2 1!14'(!1 "&!'("" #&!'!(41 "2&'1%4
1! 1&21'!4% 11%4'44% ###'2%2 "1"'2&!4 #1!'4(## "!%'%#&
11 1&!!'&%" 11&('!(& #"&'%& "!4'(" ""#'2#&1 "('(!%&
12 12"'!& 111('2( #(('1!# #!'!#&" "(('((42 (('&1"
1& 12%4'2"2 1!#%'14 #4'%1% 4'%4!& "42'2!2 44'"%#2
14 122#'!"% 1!2'2 #2'"&%2 %"'!"(2 "1'(!&2 22'&%"4
1% 12!2'%"( 1!4#'2%% #!'1%2( 4!'"!2% #1'4%"" (#"'#4&
1( 114'"# 1!24'(" ""%'%%&& 22'(2& (4'4&%2 (4'(!1
1 114('1!# ###'1(%2 "(&'12%& !4'!4! &('("12 (4#'#&1%
1" 111('&%& #2'#!# "'#%"4 ("4'142 !"'&4%% (24'%#%
1# 1!"%'&( #4%'(((2 "1('14&4 ((4'"%#" (#'%4# %#"'""%&
2! 1!%4'&& #1'"#&( #1'1 (44'%%%1 (%!'%1&1 %2'#2##
21 1!22'& ""#'%%" (('#&4( (2&'"4 (21'&!!1 %4('"%%%
22 #"#'"(4 "(!'"14" 41'224 (!2'#!&& %#2'!!% %2!'"&1
2& #%('#4%1 "&1'11& 1('224 %"1'!"4 %(2'#%2" 4#4'"2"1
24 #2&'&1& "!2'&(4& (#!'%2#2 %(!'&((( %&4'!(" 4(#'!##
2% "#!'&&1 2'"!% ((4'212 %&"'#4#" %!%'%&2& 44&'(##
2( "%('"4#4 4&'&2& (&"'""& %1'%2" 4'44#4 41"'22%
2 "2&'&""2 1&'"14% (1&'!#(( 4#('1(% 44#'#1(# '2%4(
2" #!'!4%& ("4'42# %"'4&(& 44'#&2 42&'!22# &!'&
2# %('#14 (%%'2%22 %(1'#%( 4%&'""4& ('(%&& &4('
&! 24'!"2# (2('&(!4 %&('"&2 4&&'!#& &!'(%!% &24'!!#
&1 (#1'(&%& %#'"2# %11'#2& 412'%12 &4'12&& &!&'442&
&2 (%#'(4#% %(#'2&( 4"'4%(# '4!#( &2%'(1 2"4'&%
&& (2"'1## %42'1111 4(&'4&"% &2'(4!1 &!('&22 2('(
&4 %#'&4& %1%'!4#1 4'#1#1 &%&'&!42 2""'%(" 2%2'2%(1
&% %('1%"% 4""'%#!% 41('%1%% &&&'"1% 22'&14 2&"'!44
&( %&('("%& 4(1'"4 &'(#1 &1%'%2& 2%'(2 22%'!!(2
& %!"'!(& 4&'1( &2'!&" 2#"'!2& 24&'(!# 21&'!!"1
&" 4"1'("" 414'4%4& &%&'&4%# 2"&'1"" 2&1'!14# 2!1'#44
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%%
&)
*)Pn *)Pn *)Pn *)Pn *)Pn *)Pn
8/16/2019 Strength Axial Compression Steel
26/30
+ 4( . 2#!!!
!'#
HP1!X HP"X
(& %&) % 42 &(
(1'( (41' (#1'&" %1&'&( 4&"'"4
(!'"!# (4!'#4!% (#!'2(%2 %12'%!4% 4&'2&%
%"'2!#" (&"'((% ("('#&1% %!#'#4( 4&4'
%&'#%4 (&4'"# ("1'4111 %!%'12 42"'"#&&
4'(%"& (2#'(%% (&'% 4##'"42% 421'&1&
'"411 (22'#"!4 ((4'!422 4#2'%# 411'(&(
&!' (14'#1 (%2'&%"( 4"&'44% 4!!'&"%4
1#'% (!%'%2&% (&"'"1%4 4&'!(& &"'&4&2
!('#!!2 %#4'"(22 (2&'%& 4(1'&""& &2'"21%
(#&'!!42 %"&'!!(2 (!('((41 44"'4#! &%'!2!(
('#(4 %!'!&4 %""'&4%2 4&4'%!1# &4!'1%2
((1'&%" %%('!&&4 %("'4!# 41#'%4 &22'4&&4
(4&'"4% %41'!#2# %4"'!1"& 4!&'%#1 &!4'!"4(
(2%'&214 %2%'&!"1 %2('&4#1 &"'2!" 2"%'&22(
(!%'#11% %!"'4 %!&'#!" &!'21"# 2(('&%
%"%'&4& 4#1'(!12 4"!'"(" &%2' 24'&"#
%(4'#!"2 4&'""11 4%'4!44 &&4'#(% 22"'(!4"
%4&'%%14 4%%'1#2 4&&'("& &1'!2"% 21!'12 Che)k $/r
%21'"1# 4&'21(% 4!#'"((# 2##'!%2 1#2'244# 11"'2(!"
4##'1% 41"'42 &"('11!4 2"1'1%( 14'#%2( $/r 0 11"'2(!"
4'4((2 #'%"% &(2'%%"# 2(&'4%1% 1%"'!"% $/r0 2!!
4%%'14&1 &"!'(42 &'&4(# 24('! 14&'&""&
4&2'"%14 &(1'4# &1('%#% 22#'!12% 1&!'(4#&
41!'(#11 &42'#%# 2#4'4214 212'4%4& 11#'%&%%
&""'%(& &24'4! 22'#1(4 1#('1(!1 1!#'"1
&('1&4% &!('11"# 2%1'(2!% 1"!'"11 1!1'14"
&4%'#!(4 2""'1 2&2'(&& 1('142& #&'%41"1
&2%'14%4 2!'(4(& 21%'24 1%4'##! "('411
&!4'#14 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(("
1%'41( 1&!'11 1!&'& 4'2"%4"
14#'(44& 124'&14& #"'2"#2% !'(1(&
*)Pn *)Pn *)Pn *)Pn *)Pn
$/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#"'#&% 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
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'!#%"# 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 (%'%&42 (('2!!4( (('((((
"%'!11" %"'4%22 "&'(##% (#'&"( %#'442# (#'"(&!1 %"'(4124 !'"&&&&
('44&&4 (1'"#112 4'2!& &'4(# %&'!2%%2 &'#2( %2'&!(%& %
("'(!"4& (%'&2#%1 ('!(2& '%%1!2 4'%#! "'!"21# 4('#4%4" #'1(((
(1'#1#11 ("'(#1 (!'%2&# "1'(&2(% 42'#%!( "2'1#1" 42'&("2# "&'&&&&&
%('1(24% 2'2!(& %4'"#("( "%'142# &"'#%%2 "('&!1& &"'42#2# "'%
%1'12"1 %'(44 %!'!1#(( "#'#%#2 &%'4#(42 #!'41!#( &%'!1%12 #1'((((
4('"1#4 #'!"&!# 4%'(4(" #&'"%% &2'4("" #4'%2!%% &2'!&(%2 #%'"&&&&
42'###&" "2'%214# 42'!&!41 #'#%#1" 2#'"2("% #"'(&!14 2#'4224& 1!!
'(2"2& "%'#%#"# &"'&%2& 1!2'!4!" 2'4""4& 1!2' 2'11%1 1!4'1((
&('(&"%2 "#'"2" &%'"12"# 1!('1224 2%'414( 1!('"4#& 2%'! 1!"'&&&&
&&'#4"2 #2'"&((" &&'2!#21 11!'2!41 2&'%((# 11!'#%"# 2&'24&% 112'%
&1'%#1&" #('2%! &!'"#4" 114'2"% 21'#1&(1 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'%
1%'4#" 1&'%&%" 1%'1&!#% 1(&'2(%& 1!'&( 1(4'&"&( 1!'%#2! 1(('(((
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
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
1(4'"(1# 41'#%"!4 1(2'%"!1 4"'##%# 11#'&!4 4#'#2%& 11%'44&% (1'%&"4(
1&('24#% 4('1%&"% 1&4'&(& %&'"%% #"'(!11 %4'1" #%'4!"2 ('(#2&1
114'4"4 %!'&4#(% 112'#!2" %"'%%1 "2'"%2& %#'%1!4 "!'1(#! &'"4(1%
#'%%14 %4'%4%4% #('2!12& (&'(&4 !'%#(1 (4'&!2# ("'&!#4 "!
"4'11&2 %"'412( "2'#4#!2 ("'%14& (!'"11& (#'!#%4 %"'"##2 "('1%&"%
&'21#4 (2'#&!( 2'2%"1 &'4(# %&'!2%%2 4'(""" %1'&!"2 #2'&!(#
(4'#1 ('1&2" (&'%!"4 "'&(&% 4('(!44( #'(("!% 4%'!#%1 #"'4(1%4
%'!4%(& 1'&2"( %('2%(!" "&'2(%&1 41'2"2"4 "4'(4& '#4%"& 1!4'(1%4
%!'""&2# %'%244" %!'1#!4 ""'1(&2 &('"2&2 "#'(2(%( &%'(&! 11!'(#2
4%'(("11 #'2!2" 4%'!&(!& #&'!(122 &&'!4#14 #4'(!%"1 &1'#"" 11('#2&1
41'21%4 "&'#1(!" 4!'(4%!2 #'#%#1" 2#'"2("% ##'%"%!( 2"'"(!" 12&'!(#
&'&"&(4 ""'111"# &('"((2& 1!2'"%1 2'!%&"& 1!4'%(4& 2('1(( 12#'2&!"
&4'!(2& #2'&!(# &&'%#!#2 1!'%%1 24'(%!2# 1!#'%4&( 2&'"%1#% 1&%'&"4(
&1'1(4"2 #('%!&% &!'&&4 112'(%&1 22'%%& 114'%22" 21'"22#( 141'%&"%
2"'(21"% 1!!'(##& 2"'22%1 11'%%1 2!'1&!# 11#'%!21 2!'!422 14'(#2&
2('&# 1!4'"#%1 2('!12"1 122'44# 1#'!"#1# 124'4"1& 1"'4!#% 1%&'"4(2
24'&""% 1!#'!#!# 24'!%!&1 12'&4(# 1'(4#!& 12#'4(!( 1'!4& 1(!
22'(14" 11&'2"( 22'&!1# 1&2'244# 1('&(%# 1&4'4" 1%'"&%" 1(('1%&"
21'!2"& 11'4"2% 2!'&2% 1&'142# 1%'21" 1'41#1 14'24#& 12'&!
1#'(!&!" 121'("& 1#'&&1( 142'!4!" 14'1"(& 144'"& 1&'2(#& 1"'4(1%
1"'&1## 12%'"41 1"'!(44% 14('#&"" 1&'2%(&" 14#'&( 12'"2!% 1"4'(1%4
1'1%%24 1&!'!(## 1('#1" 1%1'"&( 12'414#2 1%4'&%(" 12'!12"% 1#!'(#2
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