Diseño Columnas-DI

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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

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HW #1End-of-Chapter Problem 11-1

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  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

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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

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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   %   -   &