Column and Footing Design23-11-04.xls
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Transcript of Column and Footing Design23-11-04.xls
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Braced Column Design
Column Identification: C1 Steel strength:
60,000 psi
Column case No. 1 Concrete strength: 4,000 psi
Column height (c/c: 14 ft Concrete !odulus: ",644 #si
$eam Spacing (c/c: %4 ft Concrete strength: 4,000 psi
$eam &idth: 4' in Concrete !odulus: ",644 #si
$eam depth: 1% in
ead load )i*e load +actored load
-ial load : %"0 1" 616.1 #ips
!oment !%: % 10' 1'6.4 ft#ips
!oment !1: % 100 16.% ft#ips
Coulmn dimension: 1' in Clear co*er: 1. in
Si2e of 3ies No. " Si2e of main ar No. 10
5: 0.%
u/g: 1.0 #si !u/gh: 0."' #si
+rom column interaction diagram, 0.0%
Step 2 Braced or Unbraced Frame
7esults of +irstorder anal8sis: 7esults of Secondorder anal8sis: Increase
!u1: 10 ft#ips !u1: 110 ft#ips 4.69
Step 1 Design as Short Column (Assuming no slenderness effect):
ρ:
Criterion ased on Δ anal8sis
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u 0 t ps u 0 t ps 69
&ith #;1, #lu/r: %'.'
Ig/l: 1,6"1,'41 in#ips
t top of the column,
No. of top columns: 1 Column height (c/c: 14 ft
No. of eams: % 2.17
t ottom of the column,No. of columns: 1 Column height (c/c: 14 ft
No. of eams: % 2.17
+rom alignment chart,
=ffecti*e length factor #, 0.'
Slenderness ratio #lu/r: %.1"
ith refined calculation! Slenderness must be considered in design
Step " #inimum #oment #u2min$
!inimum eccentricit8, emin: 1.14 in
!inimum !oment !u%min: '." ft#ips
#inimum moment does not control
Cm: 0.6
?d: 0.%
=I ' "' %10 i % #i
ψtop:
ψtop:
Step % Cm! βd! &'! and (c$
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Braced Column Design
Column Identification: C1 Steel strength:
60,000 psi
Column case No. 1 Concrete strength: 4,000 psi
Column height (c/c: %% ft Concrete !odulus: ",644 #si
$eam Spacing (c/c: %% ft Concrete strength: 4,000 psi
$eam &idth: %4 in Concrete !odulus: ",644 #si
$eam depth: 1' in
ead load )i*e load +actored load
-ial load : 1" " "%. #ips
!oment !%: 61 41 1.1 ft#ips
!oment !1: 41 % 10"." ft#ips
Coulmn dimension: 16 in Clear co*er: 1. in
Si2e of 3ies No. " Si2e of main ar No. 11
5: 0.6'
u/g: 1."' #si !u/gh: 0.4 #si
+rom column interaction diagram, 0.0%'
Step 2 Braced or Unbraced Frame
7esults of +irstorder anal8sis: 7esults of Secondorder anal8sis: Increase
!u1: 10 ft#ips !u1: 110 ft#ips 4.69
Step 1 Design as Short Column (Assuming no slenderness effect):
ρ:
Criterion ased on Δ anal8sis
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Column height lu: %0. ft
&ith #;1, #lu/r: 1.%
Ig/lc: 1","1,""1 in#ips ,, , ,
t top of the column,
No. of columns: 1 Column height (c/c: 1% ft
No. of eams: 1 1.33t ottom of the column,
No. of columns: 1 Column height (c/c: 1% ft. .
+rom alignment chart,
=ffecti*e length factor #, 0.'
Slenderness ratio #lu/r: 41.00ith refined calculation! Slenderness must be considered in design
Step " #inimum #oment #u2min$
!inimum eccentricit8, emin: 1.0' in
!inimum !oment !u%min: "1.4 ft#ips
#inimum moment does not control
Cm: 0.'
?d 0
ψtop:
Step % Cm! βd! &'! and (c$
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Design of Column Bracket
Crushing strength of concrete 2.5 si!ield "trength of "teel #$ si
%idth of Column &' inch
ength of r*cet &2 inch
+ccentricit,- e ' inch
"erice lo*d /*ctored o*d
ie lo*d &5 25.5
0e*d o*d ' &&.21#.
3ori4ont*l force
.1
omin*l "he*r "trength #.'
&$.'
effectie 0e6th of r*cet- d 5.7
8ot*l 0e6th of r*cet- h #.9
"lo6e 75.$ $.'5r*cet 0e6th *t outside- h& 5.&
$.5d 2.
8ot*l "he*r friction steel- Af $.#
ending ;oment to uired- Af &.1
Addition*l steel Are*- An $.2
As ? Af@An &.7
$.#$$$&5'1;inimum "teel re>uirement $.&&&&&&&
No of #6 bars 3
Close hoo6 "teel Ah $ 2&'7521'&
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Design of Column Bracket
Crushing strength of concrete 5 6si
!ield "trength of "teel #$ 6si
%idth of Column &2
ength of r*cet '
+ccentricit,- e 5.5
"erice lo*d /*ctored o*d
ie lo*d 5& '&.#
0e*d o*d 25 1$.$&&&.#
3ori4ont*l force
22.1
omin*l "he*r "trength 9.$
.2
effectie 0e6th of r*cet- d &5.5
8ot*l 0e6th of r*cet- h &.$
"lo6e 75.$ $.'5r*cet 0e6th *t outside- h& 9.$
$.5d .'
8ot*l "he*r friction steel- Af &.'
ending ;oment to uired- Af $.'
Addition*l steel Are*- An $.5
As ? Af@An &.1
&.'275&72'#;inimum "teel re>uirement $.#2
No of #6 bars 4
Close hoo6 "teel Ah $ ##72'5&71
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Com
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+t Ent
(4)*!+" i6s
3+4!' i6s )*3!3" i6s
9.29 ft
363,!'
(3464!) ()4"*!*+
V*lues *re in inches *nd i6s.
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0esign of "tri6 /ooting P*d
Concrete "trength 1 si Concrete Coer 1 in
"teel !ield "terngth 7$ si 0e6th of /ooting 1 ft
"*fe e*ring C*6cit, & tonssft %idth of
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%u &7.#1
0ist*nce %u "he*r o*d
free end $ &1.2 $
A #.5 &1.2 '5.' &15.&'
#.5 &1.2 79.1' &15.&' 2#.5 &1.2 2&7.#2 259.59
2#.5 &1.2 77.9 259.59
C 7#.5 &1.2 2&9.$1 12&.77
7#.5 &1.2 &$2.7& 12&.77
0 ##.5 &1.2 &.59 121.79
##.5 &1.2 &.9 121.79
+ '#.5 &1.2 &$2.& 12&.77
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/ &$#.5 &1.2 77.## 259.59
&$#.5 &1.2 2&7.91 259.59G &2#.5 &1.2 79.$ &15.&'
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&2#.5 &1.2 '5.' &15.&'
/ree end &11 &1.2 $
$ 2$ 7$ #$ '$ &$$ &2$ &7$
25$
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$ear Diagram
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0esign of "tri6 /ooting e*m
Concrete "trength 2.5 si Concrete Coer 1"teel !ield "terngth 7$ si %idth of /ooting 99
"*fe e*ring C*6cit, $.5 tonssft %idth of
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"tri6 #
einforcements for ositi5e
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72 19 &12 '&.15 91#.2 #.#2 .$ 9 H'
72 19 &12 &$7.&5 &279.' $.'92 &.5 2 H'
72 19 &12 &$2$.5 &227# '.'## 9.71 &2 H'
72 19 &12 #$.2 2'#.7 5.27$ 5.5 H'
72 19 &12 &&5$.7 &1'$7.' &$.$ &$.2& &1 H'
72 19 &12 &&&.1 &7$55.# &$.2$& &$.2&
72 19 &12 &&27.5 &1797 9.'# &$.2&
72 19 &12 &$9$.5 &1$'# 9.7'5 &$.2&
72 19 &12 &&$&. &122$.7 9.5'7 &$.2&
einforcements for Negati5e
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inin
in
am
;d (fti6s)
&.79 9$$.9&
$.# 1#7.55
&.79 9$$.9&
$.9 577.&
am
;d (fti6s)
&.9 &9.$5
2.95 2#7.55
7.91 71$.5
0e6th ofCom6ression loc- in
0e6th ofCom6ression loc
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;d (fti6s)
&.&52$51 752.95122
$.7#7##'''# &'2.595
2.121177712 '9&.$92#2
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&.&215#& 572.'7#2
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2.&5&2#$5$7 9'2.999##&.957559#$2 '95.715$#
2.179#&7$ &$$.$9'&
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0e6th ofCom6ression loc
0e6th ofCom6ression loc
0e6th ofCom6ression loc
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;d (fti6s)
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0e6th ofCom6ression loc
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0e6th ofCom6ression loc
D i f F ti
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Design of Footing
Footing Identification = C1Input Data:
fy = 50 ksi
f'c = 4 ksi
Col. side,b = 18 in
S.Load, SL = 400 k
F.Load, FL = 61.5 k #VALUE!
!.Ca"acity,!C = 5 ksf
#o$ dee" %& = 5 ft
Footing $idt&, = (.5 ft )*y+ (.56
Footing -e"t&,- = .5 in )*y+ .5
/nte* !a* sed = 8 23s = 0.(
SOLUTION:
/ffectie !ea*ing Ca"acity
e = !.C. 0.15 7 & = 4.5 ksf
3*ea 9 sides of Footing:
3 = S.L.; e = (1.4 s. ft
(.56 ft
Facto*ed Soil ini?? -e"t& of Footing !ased on
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f@c; ksi
c; in
7.&$
&2 in 7.&5
2$ in 7.2$
7 o. 9 7 in2 7.25
7 o. 9 7 in2 7.1$
2.5 in 7.15
si 7.7$
5 si 7.75
&5.5 in 7.5$
7.55=0> Balance& 2ailure 7.#$
$.$$1 7.#5
2.$#9$ 7.$
$.$2 in 7.5
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$.$& in 7.'5
#$$$$ si 7.9$
9#$7.75 si ote: Com6ression "teel 3*s F8 !ielded 7.95
&1#5.7$ i6s 5.$$
### i6s 5.$5
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5.1$
5.15
1 in. 5.7$#$$$$ si 5.75
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n 2'$$ #.55
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his condition corres6onds to c ? M *nd e ? $.
i6s 7I-8 deduction for concrete olume dis6l*ced
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