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8/20/2019 Diseño Columnas-DI
http://slidepdf.com/reader/full/diseno-columnas-di 1/5
HW #1End-of-Chapter Problem 11-1
3 / 3
Column Interaction Diagramsfor rectangular, tied columns with smmetric reinforcement Design Loads
Pu, ! "u, !-ft
Material Properties C $
%,&&& psi C $$
'&,&&& psi
Column Dimensions
b 1( in
h 1( in )*+e tension
Reinforcement Requirements Interaction Diagram Data
1.' OK Pn Mn
! !-ft !
1%' OK ties -&&&3 -1,&3( 33 &'%& -'0
spiral -&&&1 -.0 -' &'%& -'3'
Type of hear Reinforcement ! &&&& -3 -0 &'%& -%(%
&&&1&3 -%.% -1% &'%& -30
Reinforcement Detail &&&&0 -(. -3% &'% -&
Line " of #ars #ar i$e Line Depth %in& &&&(1( -.1 -3 &3 -(&
1 3 0 % 1& &&& -1( -1( &.&& -1
3 0 1%% 1& &&1(1 -' -1%' &.&& -%'3 &&1'' 3 -131 &.&& 3
(
%
'
0
.
1&
3'
f'c
f y
s
(s)min in
s P
n
(s)ma* in
s n
Total (s %in+&
-%& & %& 1&& 1%&-1&&
&
1&&
&&
3&&
(&&
%&&
'&&
Column Interaction Diagram
Moment) ,Mn %-.ft&
( * i a l L o a
d )
, P n % - &
b
h
line 1
compression
line n
d1
Calculate-----------2
Show Mini-Interaction Diagram
ties
8/20/2019 Diseño Columnas-DI
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HW #1End-of-Chapter Problem 11-1
3 / 3
line 1 is the line of reinforcement closest to the compression side Pnma4 -0 !
line n is the line of reinforcement furthest from the compression side -%3 !
#3 &11
( && Pn Mn
% &31 ! !-ft ! !-ft
' &(( 0 -33 %3 -
0 &'& 0 ' %3 (
&0. 0 0 %3 %'
. 1&& %.% 1% 30 1&
1& 10 (. 3% & 1%3
11 1%' .1 3 (& 1(
1( % 1( 1( 1 1''1 (&& ' 1%' %' 1(&
-3 131 -3 11
#5/6 #5/6 #5/6 #5/6
#5/6 #5/6 #5/6 #5/6
#5/6 #5/6 #5/6 #5/6
#5/6 #5/6 #5/6 #5/6
#5/6 #5/6 #5/6 #5/6
#5/6 #5/6 #5/6 #5/6
#5/6 #5/6 #5/6 #5/6
φ Pnma4
Pn
Mn
8/20/2019 Diseño Columnas-DI
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HW #1End-of-Chapter Problem 11-1
!-ft
-(
-%'
-1&
-1%3
-1(
-1''
-1(&
-11
Mn
&&
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HW #1End-of-Chapter Problem 11-1
3 / 3
8/20/2019 Diseño Columnas-DI
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-%& & %& 1&& 1%& && %&
-1&&
&
1&&
&&
3&&
(&&
%&&
'&&
0&&
&&
.&&
Column Interaction Diagram
phi Pn +s phi "n
Pn +s "n
Column H
Moment) ,Mn %-.ft&
( * i a l L o a d )
, P n % - &