Cantilever+.xls

8/20/2019 Cantilever+.xls

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As per RCC design ( B.C. punmia ) page 184 example 7.6

DESIG !" CA#I$E%ER C&A''A

A cantilever slab bends down wards, with the result that tension is devloped at

the upper face. Hence reiforcement is provided at upper face, The span of slab is taken equal tothe actual length.or over hang plus half the effective depth If the width of cantilever is long, 1meterlength of the cantilever is taken for the design purpose. However, if the the width of cantilever isshort, whole width may be taken as the width of slab for design purpose.


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ame *r+ ,- p+n

1 ear !pan 1."# mtr 1"#$ mm

" %all width $.&$ mtr &$$ mm

& 1'$$ 1.'$

( oncrete ) * "$ wt.of concrete "#$$$

+ m 1&.&

# !teel fy (1# Tensile stress "&$

Assume average thickness 1$$ mm $.1$ mtr

+ -ominal over "$ mm ffective over &$ mm

' Reinremen/

)ain Top bars ' &$$ mm

/istribution bars ' &$$ mm

&$$

1"#$

' &$$ mm c0c

' &$$ mm c0c

1$$

mm

1#$

mm

A2 3 * section

pk4nandwana 5yahoo.co.in

!uper imposed loads with finishing2 -0m" or k-0m"

-0m&

σcbc

-0mm"

mm Φ

mm Φ

mm φ .barsmm φ bars


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Cear Span 1.0 m/r 1"#$ mm

2all *id/3 .5 m/r &$$ mm

Super impsed lads (*i/3 inis3ing) 18 m0 r 6r 1.'$

Assume aerage /3i+ness 1 mm 6r $.1$ mtr

Cnre/e 0

S/eel 9 41 -0mm" #ensile s/ess : "&$ -0mm"

minal er "$ mm

Ee/ie er &$ mm

1 Design Constants:- 7or H8!/ 9ars ocrete ) : "$

= "&$ wt. of concrete : "#$$$= +

m = 1&.&&m;c

:1&.&& < +

: .08;1&.&& < + = "&$

= 1 * $."'> 0 & : .;4= $.# < + < $.>$( < $."'> : .;15

" Caculcation of B.M. :-

: .1 x 1 < 1 < ??? : "#$$ -

!uper imposed loads with finishing2 : : 1'$$ -

: #/al *eig3/ : (&$$ -

: : (&$$


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# Embeded of reinforcement in supports.:-

In order to devlopfull tensile strength at face of support, each bars should be embeded

(# < ' : 56 mm.

: ' < 8 : ( mm. Thus total anchorage achieved value

: &$$ * 0 = ( = 1#$ * 0. x 0 * ( 2E: (#$

: (#$ G Hence 6.@. : 56

Check for shear :-

-eglecting the taper and taking an average d: 1#$ = 1$$ 2* "$ : 1$#

"

% : #&+# b : 1$$$ mm d : 1$# mm

: D : #&+# : $.$#1b$$ where anchor value of this bend:'Φ

d

$d

tv -0mm"

le alue t : -0mm"

Hence from Table permissible shear tc2for ) -0mm"

tv

tc

Asd

mm Φ bars each having mm"

< As

Asd

mailto:[email protected]:[email protected]


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pk4nandwana5yahoo.co.in

mailto:[email protected]:[email protected]


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mm"


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mm

mm


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-ame of work K* pkn

wall width

&$$

1"#$

' mm bars 5 &$$ 0 ' mm bars 5 &$$ 0

1$$

1#$


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%A$?ES !" DESIG C!S#A#S

Lrade of concrete )*1# )*"$ )*"# )*&$ )* )*($ Lrade of conc

)odular Batio 1'.+ 1&.&& 1$.>' >.&& '.11 +.1'

# + '.# 1$ 11.# 1&

>&.&& >&.&& >&.&& >&.&& >&.&& >&.&&

$.( $.( $.( $.( $.( $.(

$.'+ $.'+ $.'+ $.'+ $.'+ $.'+

$.'+ 1."1( 1.(+( 1.+&( 1.>>( "."#(

$.+1( 1 1."1( 1.("> 1.(& 1.'#+

$.&"> $.&"> $.&"> $.&"> $.&"> $.&"> ) 1#

$.'> $.'> $.'> $.'> $.'> $.'> ) "$

$.+&" 1.$"# 1."(( 1.(( 1.'( 1.>$& ) "#

$.(&& $.$ $.+& $.' $.>>+ 1.1"+ ) &$

$."'> $."'> $."'> $."'> $."'> $."'> )

$.>$( $.>$( $.>$( $.>$( $.>$( $.>$( ) ($

$.#& $.>1( 1.11 1.&$ 1.#$" 1.>' ) (#

$.&1( $.(( $.#&( $."' $.+"" $.'1 ) #$

$."#& $."#& $."#& $."#& $."#& $."#&

$.>1 $.>1 $.>1 $.>1( $.>1 $.>1

$.#+> $.'11 $.>'# 1.1#> 1.&&" 1.#$

$."& $.&"" $.&>1 $.( $.#& $.#>>

bd )*1# )*"$ )*"# )*&$ )* )*($

$.1' $.1' $.1> $." $." $."

$."# $."" $."" $."& $."& $."& $."&

$.#$ $."> $.&$ $.&1 $.&1 $.&1 $.&" ) 1$

$.+# $.&( $. $.& $.&+ $.&+ $.&' ) 1#

1.$$ $.&+ $.&> $.($ $.(1 $.(" $.(" ) "$

1."# $.($ $.(" $.(( $.(# $.(# $.( ) "#

1.#$ $.(" $.(# $.( $.(' $.(> $.(> ) &$

1.+# $.(( $.(+ $.(> $.#$ $.#" $.#" )

".$$ $.(( $.(> $.#1 $.#& $.#( $.## ) ($

"."# $.(( $.#1 $.#& $.## $.# $.#+ ) (#

".#$ $.(( $.#1 $.## $.#+ $.#' $.$ ) #$

".+# $.(( $.#1 $.# $.#' $.$ $."&.$$ and above $.(( $.#1 $.#+ $. $." $.&

Lrade of concrete )*1# )*"$ )*"# )*&$ )* )*($

1. 1.' 1.> "." ".& ".#

τbd

- 0 mm"

σcbc

-0mm"

m σcbc

a2 σst :

1($-0mm"7e "#$2

kc

Cc

Bc Lrade of

concreteMcF2

b2 σst :

1>$-0mm"

kc

Cc

Bc

McF2

c 2 σst :

"&$-0mm"7e (1#2

kc

Cc

Bc

McF2

d2 σst :

"+#-0mm"7e #$$2

kc

Cc

Bc

McF2

le s3ear s/ress #a>le in nre/e (IS , 46-0)

1$$As Mermissible shear stress in concrete tv -0mm

"

Grade nre/e

$.1#

aximum s3ear s/ress τc.max

in nre/e (IS , 46-0)

τc.ma<


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Beiforcement F

M-2 M-2 bd bd

$.1# $.1' $.1' $.1#

$.1 $.1' $.1> $.1'

$.1+ $.1' $." $."1

$.1' $.1> $."1 $."(

$.1> $.1> $."" $."+

$." $.1> $."& $.&

$."1 $." $."( $.&"

$."" $." $."# $.

$."& $." $." $.&'

$."( $."1 $."+ $.(1

$."# $."1 $."' $.((

$." $."1 $."> $.(+

$."+ $."" $.&$ $.#

$."' $."" $.&1 $.##

$."> $."" $.&" $.

$.& $."& $.&& $.#

$.&1 $."& $.&( $.+

$.&" $."( $. $.+#

$.&& $."( $.& $.'"

$.&( $."( $.&+ $.''

$. $."# $.&' $.>(

$.& $."# $.&> 1.$$

$.&+ $."# $.( 1.$'

$.&' $." $.(1 1.1

$.&> $." $.(" 1."#

$.( $." $.(& 1.&&

$.(1 $."+ $.(( 1.(1

$.(" $."+ $.(# 1.#$

$.(& $."+ $.( 1.&

$.(( $."' $.( 1.(

$.(# $."' $.(+ 1.+#

$.( $."' $.(' 1.''

$.(+ $."> $.(> ".$$

$.(' $."> $.#$ ".1&

$.(> $."> $.#1 "."#

$.# $.&$

$.#1 $.&$

$.#" $.&$

$.#& $.&$

$.#( $.&$

$.## $.&1

$.# $.&1

$.#+ $.&1

$.#' $.&1

$.#> $.&1

!hear stress tc

1As

1As


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$. $.&"

$.1 $.&"

$." $.&"

$.& $.&"

$.( $.&"

$.# $.&&

$. $.&&$.+ $.&&

$.' $.&&

$.> $.&&

$.+ $.&(

$.+1 $.&(

$.+" $.&(

$.+& $.&(

$.+( $.&(

$.+# $.

$.+ $.

$.++ $.

$.+' $.$.+> $.

$.' $.

$.'1 $.

$.'" $.&

$.'& $.&

$.'( $.&

$.'# $.&

$.' $.&

$.'+ $.&

$.'' $.&+

$.'> $.&+

$.> $.&+$.>1 $.&+

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$.># $.&'

$.> $.&'

$.>+ $.&'

$.>' $.&'

$.>> $.&'

1.$$ $.&>

1.$1 $.&>

1.$" $.&>1.$& $.&>

1.$( $.&>

1.$# $.&>

1.$ $.&>

1.$+ $.&>

1.$' $.(

1.$> $.(

1.1$ $.(


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1.11 $.(

1.1" $.(

1.1& $.(

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1."# $.("

1." $.("

1."+ $.("

1."' $.("

1."> $.("1.&$ $.("

1.&1 $.("

1.&" $.("

1.&& $.(&

1.&( $.(&

1. $.(&

1.& $.(&

1.&+ $.(&

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1.&> $.(&

1.($ $.(&

1.(1 $.((1.(" $.((

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1.(> $.((

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1.#1 $.(#

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1.#& $.(#1.#( $.(#

1.## $.(#

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1.$ $.(#

1.1 $.(#


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1." $.(#

1.& $.(

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1.+$ $.(

1.+1 $.(

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1.+# $.(+

1.+ $.(+

1.++ $.(+

1.+' $.(+

1.+> $.(+

1.'$ $.(+1.'1 $.(+

1.'" $.(+

1.'& $.(+

1.'( $.(+

1.'# $.(+

1.' $.(+

1.'+ $.(+

1.'' $.('

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1.>> $.('

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".11 $.(>

".1" $.(>


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".1& $.#$

".1( $.#$

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".1> $.#$"."$ $.#$

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"."( $.#$

"."# $.#1

"." $.#1

"."+ $.#1

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"."> $.#1

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".&1 $.#1".&" $.#1

".&& $.#1

".&( $.#1

". $.#1

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".&' $.#1

".&> $.#1

".($ $.#1

".(1 $.#1

".(" $.#1

".(& $.#1".(( $.#1

".(# $.#1

".( $.#1

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".#$ $.#1

".#1 $.#1

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".## $.#1".# $.#1

".#+ $.#1

".#' $.#1

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".$ $.#1

".1 $.#1

"." $.#1

".& $.#1


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".( $.#1

".# $.#1

". $.#1

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".' $.#1

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".>1 $.#1

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".>> $.#1

&.$$ $.#1

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&.$" $.#1

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&.1( $.#1


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&.1# $.#1


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)*1$ )*1# )*"$ )*"# )*&$ )* )*($ )*(# )*#$

** $. $.' $.> 1 1.1 1." 1.& 1.(

Deelpmen/ $eng/3 in /ensin

Mlain ).!. 9ars H.8.!./. 9ars

$. #' $.> $

$.' (( 1."' (#

$.> &> 1.(( ($

1 1. &

1.1 &" 1.+ &&

1." "> 1.>" &$

1.& "+ ".$' "'

1.( "# "."( "

-0mm"2 -0mm"2 -0mm"2

&.$ &$$ ".# "#$ ** **

#.$ #$$ (.$ ($$ $. $

+.$ +$$ #.$ #$$ $.' '$

'.# '#$ .$ $$ $.> >$

1$.$ 1$$$ '.$ '$$ 1.$ 1$$

11.# 11#$ >.$ >$$ 1.1 11$

1&.$ 1&$$ 1$.$ 1$$$ 1." 1"$

1(.# 1(#$ 11.$ 11$$ 1.& 1&$1.$ 1$$ 1".$ 1"$$ 1.( 1($

le Bnd s/ress #a>le>d

in nre/e (IS , 46-0)

τbd

- 0 mm"2 kd :

d Φ τ

bd - 0 mm"2 k

d :

d Φ

le s/ress in nre/e (IS , 46-0)

Mermission stress in compression -0mm"2Mermissible stress in bond Average2 forplain bars in tention -0mm"29ending α

cbc /irect αcc2@g0m" @g0m" in kg0m"


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Cantilever+.xls

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