32
7/23/2019 60302536 Unit 14 Design of Slender Columns http://slidepdf.com/reader/full/60302536-unit-14-design-of-slender-columns 1/32 REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/ UNIT 14 DESIGN OF SLENDER COLUMNS GENERAL OBJECTIVE To be able to identify te b!a"ed #lende! "ol$%n# de#i&n '!in"i'le# a""o!din& to B( )110 !e*$i!e%ent#+ At te end of ti# $nit yo$ ,ill be able to "al"$late- 1+ te %ini%$% e""ent!i"ity. %in e + + te defle"tion . u a  $#in& e*$ation 3 3+ te !ed$"tion fa"to!. $#in& e*$ation 33 4+ te additional %o%ent $#in& e*$ation 3 + te initial end %o%ent# $#in& e*$ation 32 2+ te a!ea of lon&it$dinal !einfo!"e%ent+ + te #ie and #'a"in& of late!al !einfo!"e%ent 5tie#6+ )+ #7et" te !einfo!"e%ent# detail# in #lende! "ol$%n#+ 1  OBJECTIVES (8ECI9IC OBJECTIVE(

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

UNIT 14 

DESIGN OF SLENDER COLUMNS

GENERAL OBJECTIVE

To be able to identify te b!a"ed #lende! "ol$%n# de#i&n '!in"i'le# a""o!din& to

B( )110 !e*$i!e%ent#+

At te end of ti# $nit yo$ ,ill be able to "al"$late-

1+ te %ini%$% e""ent!i"ity.%in

e +

+ te defle"tion . ua  $#in& e*$ation 3

3+ te !ed$"tion fa"to!. $#in& e*$ation 33

4+ te additional %o%ent $#in& e*$ation 3

+ te initial end %o%ent# $#in& e*$ation 32

2+ te a!ea of lon&it$dinal !einfo!"e%ent+

+ te #ie and #'a"in& of late!al !einfo!"e%ent 5tie#6+

)+ #7et" te !einfo!"e%ent# detail# in #lende! "ol$%n#+

1

  OBJECTIVES

(8ECI9IC OBJECTIVE(

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

14+1 Slender Columns

A b!a"ed #lende! "ol$%n i# defined a# a "ol$%n in ,i" te effe"ti:e

ei&t/de't !atio i# &!eate! tan 1+ Te #t!en&t of #lende! "ol$%n# i#

#i&nifi"antly !ed$"ed by t!an#:e!#e defle"tion#+ Te #lende!ne## effe"t !ed$"e# it#

load;"a!!yin& "a'a"ity+ If te "ol$%n i# #o!t. te defle"tion i# #%all and en"e

te additional %o%ent i# ne&li&ible. "o%'a!ed ,it te initial %o%ent+ If te

"ol$%n i# #lende!. te defle"tion i# no lon&e! #%all. ten te additional %o%ent

 be"o%e# #i&nifi"ant "o%'a!ed to te initial %o%ent+ Te additional %o%ent

#o$ld ten be "on#ide!ed if te effe"ti:e ei&t/de't !atio i# &!eate! tan 1+ If 

te "ol$%n i# :e!y #lende!. te "ol$%n ,ill *$i"7ly "olla'#e and #$" a fail$!e i#

"alled in#tability fail$!e+

Te additional %o%ent.   add  M    i# "a$#ed by te defle"tion of #lende! "ol$%n+

<en"e te de#i&n %o%ent ,ill be &!eate! tan te initial %o%ent obtained f!o%

te #t!$"t$!al analy#i#+ Te de#i&n %o%ent# fo! b!a"ed and $nb!a"ed #lende! 

"ol$%n# a!e diffe!ent+ T$#. tei! de#i&n %o%ent# ,ill al#o be diffe!ent o,e:e! 

te "al"$lation fo! add  M   i# #i%ila!+

IN8UT 1

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

Now do !e "ollow#n$%

14+1 A b!a"ed #lende! "ol$%n i# a "ol$%n in ,en bot te !atio#h

l ex  andb

l ey

a!e &!eate! tan ===========================+

14+ An $nb!a"ed #lende! "ol$%n i# one in ,i" bot !atio# h

l ex

and b

l ey

  i#

&!eate! tan =========================+

14+3 Te #t!en&t of a #lende! "ol$%n i# !ed$"ed by =====================+

14+4 Te defle"tion of #lende! "ol$%n i# #i&nifi"ant "o%'a!ed ,it te

 ======================== %o%ent+

14+ 9o! #lende! "ol$%n#. ================= #o$ld be "on#ide!ed+

14+2 Te additional %o%ent of #lende! "ol$%n i# "a$#ed by te "ol$%n

 ========================+

3

 

ACTIVIT& 14'

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

Now (!e() *our 'nswers%

14%1 1

14%+ 10

14%, t!an#:e!#e defle"tion

14%4 initial %o%ent

14%- additional %o%ent

14%. defle"tion+

I" 'll *our 'nswers 're (orre(/ 0le'se 0ro(eed% O!erw#se 0le'se $o '() o

!e IN2UT #n !#s se(#on 'nd do !e '(#3#*%

4

FEEDBAC 14'

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

14%5 Add##on'l Momen/ add  M 

Con#ide! a "ol$%n a"ted by a>ial load N and an end %o%ent ?i a# #o,n belo,@

Te additional %o%ent. add  M   i# "al"$lated a# follo,#@

  N

a$

IN2UT +

 N

9i&$!e 14+1- efle"tion of a !e"tan&$la! "ol$%n+

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

  uadd   Na M    =

e!e. N te $lti%ate a>ial load

  ua "ol$%n defle"tion at $lti%ate li%it+

ua  i# "al"$lated $#in& e*$ation 3 of te "ode &i:en belo, @

 

And Da i# "al"$lated $#in& e*$ation 34 a# follo,#@

Da  "an al#o be obtained f!o% Table 3+3 of B( )110. ,i" in de'endent on te

!atioE

b

l e  ,e!e e

l   i# te effe"ti:e ei&t of "ol$%n in te 'lane "on#ide!ed and

bb   =E . i# te di%en#ion of te #%alle! "ol$%n+

2

 Kha au   β =

/

E/000

1   

     

  =

b

l e

aβ 

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

<o,e:e!. a""o!din& to "la$#e 3+)+3+2 fo! "ol$%n# in bia>ial bendin&. ,e!e

add  M   a!e '!e#ent in bot a>e#. > and y. te :al$eE

b

l e  i# e*$al to

h

l ex and

b

l ey +

i# te !ed$"tion fa"to! to "o!!e"t te defle"tion and to ta7e into "on#ide!ation

te effe"t of a>ial load+ "an be "al"$lated $#in& e*$ation 33 of te "ode+ Ti# i#

#o,n belo,-

e!e.  sc yccuuz    A  f   A  f   N    )+04+0   +=  and bd   f   N  cubal    /+0=  

5$#ed fo! #y%%et!i"al !einfo!"ed "on"!ete "ol$%n#6+

Te!efo!e. add  M   "an be !e,!itten a#@

uz  N   de'end# on  sc A  b$t  sc

 A  i# not yet 7no,n. i# ten ta7en a# 1+0+ Te

ite!ation '!o"e## i# to be "ontin$ed $ntil te :al$e obtained i# e*$al to o! 

a''!o>i%ately e*$al to te :al$e a##$%ed ea!lie!+

1≤−−=

bal uz 

uz 

 N  N  N  N  K 

 K b

l  Nh M    e

add 

/

E/000  

  

 =

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

Now do !e "ollow#n$ e6er(#se% F#ll #n !e l'n)s%

14+ Te additional %o%ent.   add  M    i# "al"$lated $#in& e*$ation

 =========================+

14+) Te defle"tion. a$ i# "al"$lated $#in& e*$ation ================+

14+F   aβ   "an be obtained f!o% Table ==================of te "ode+

14+10 ================== i# te !ed$"tion fa"to! to "o!!e"t defle"tion+

14+11 Te !ed$"tion fa"to! "an be "al"$lated $#in& e*$ation

 ========================+

14+1 en   1/E =

b

l e . aβ   i# e*$al to =====================+

14+13 en 20E =

b

l e  . aβ   i# e*$al to ======================+

14+14 en 00 %%. 1+0. aβ    ======================+

14+1 en ua 00%% and N 3000 7N. te additional %o%ent i# e*$al to

 ========= 7N+

14+12 A "ol$%n of di%en#ion 300%% > 400%% i# !einfo!"ed ,it 4T3 ba!#+ If 

f "$  40 N/%% and f y  420 N/%%. "al"$late uz  N   +

)

 

ACTIVIT& 14

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

14+1 Cal"$late bal  N   fo! te "ol$%n #e"tion &i:en belo, $#in& f "$ a# 40 N/%%+

14+1) Cal"$late te !ed$"tion fa"to!. if uz  N    3007N. bal  N    3000 7N and

 N 3100 7N+

0 %%

400%%

F

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

<e!e a!e te an#,e!#+

14+   uadd   Na M    =

14+)  Khaau

  β =

14+F Table 3+3

14+10 Red$"tion 9a"to!.  

14+11   1≤−−

=bal uz 

uz 

 N  N 

 N  N  K 

14+1 0+0

14+13 1+)0

14+14   mm//000+1/+0   =××

14+1 200 7N%

14+12   sc yccuuz    A  f   A  f   N    )+04+0   +=

  3103/12420)+0400300404+0   −×××+×××

  344 7N

14+1   bd   f   N  cubal    /+0=

10

FEEDBAC 14

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

  310040040/+0

  −××××

  00 7N

14+1) bal uz 

uz 

 N  N 

 N  N 

 K  −

=

  3000300

3100300

−−

  00

400

  0+) 1≤

11

IN2UT ,

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

14%17 Slender Br'(ed Columns

Con#ide! a "ol$%n e>'e!ien"in& an ea!lie! e""ent!i"ity of a>ial load a# #o,n

 belo,@

Te total %o%ent i# add it    M  M  M    += + Te initial %o%ent ?i to be $#ed i# #i%'ly

te initial %o%ent at an end of te "ol$%n+ B()110 !e"o%%end# tat ?i be ta7en

a#-

1/   4+02+0   M  M  M i   +=  5? bein& te la!&e!6 fo! #y%%et!i"al bendin&

 N

e a$

1

9i&$!e14+- efle"tion of (lende! B!a"ed Col$%n

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

And. 1/   4+02+0   M  M  M i   −=   /4+0   M ≥  b$t not le## tan /4+0   M    fo! 

a##y%%et!i"al bendin& i+e+ bendin& in do$ble "$!:at$!e+ Ti# i# #o,n in

9i& 3+0. B( )110+

Te t,o e*$ation# "an be "o%bined a# follo,#-

e!e.

  ?i i# te #%alle! initial end %o%ent 5ta7en a# ne&ati:e if te "ol$%n i#

 bent in do$ble "$!:at$!e6 and ? i# te la!&e! initial end %o%ent. ,i" i# al,ay#

ta7en a# 'o#iti:e+

B()110 i%'o#e# a f$!te! "ondition tat add t    M  M  M /

11 +≥

A "ol$%n in any "a#e i# de#i&ned fo! a %o%ent of at lea#t Ne%in+ <en"e ,e a:e

f$!te! "ondition tat %in Ne M t  ≥

e%in  i# te de#i&n %ini%$% e""ent!i"ity and i# ta7en a# 0+0 o! 0 %%.

,i"e:e! i# le##e!+

13

  /1   2+04+0   M  M  M i   +=/4+0   M ≥

 

ACTIVIT& 14(

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

Now do !e "ollow#n$ e6er(#se%

9ill in te blan7#+

14+1F =================== i# e*$al to te #$% of initial %o%ent. i M    and

te additional %o%ent add  M 

14+0 9o! #y%%et!i"al bendin&. te initial %o%ent i# e*$al to

 ============================+

14+1 9o! ================= bendin&. 1/   4+02+0   M  M  M i   −=

14+ ====================== i# bendin& in do$ble "$!:at$!e+

14+3 A #lende! "ol$%n i# de#i&ned fo! a %ini%$% %o%ent of  

 ==========================+

14+4 Te de#i&n %ini%$% e""ent!i"ity i# ta7en a# =========== o! 0 %%

,i"e:e! i# le##+

14+ 8i"7 fo$! 546 f!o% te follo,in& "!ite!ia in dete!%inin& te %a>i%$%

de#i&n %o%ent @

14

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

a6 / M 

 b6 14+0   M 

"6 /2+0   M 

d6 add i   M  M   +

e6/

1add 

 M  M   +

f6 /4+0   M 

&6 /1   2+04+0   M  M    +

6  N e%in

14+2 9o! te #lende! "ol$%n e>'e!ien"in& initial %o%ent# at bot end# 5#o,n

 belo,6. dete!%ine te :al$e# of 1 M   and / M   a##$%in& do$ble "$!:at$!e+

14+ Cal"$late i M   of te "ol$%n in $e#tion ) a##$%in& #in&le "$!:at$!e+

14+) Cal"$late te de#i&n %ini%$% e""ent!i"ity fo! te "ol$%n #e"tion #o,n

 belo,@

100 7N%

007N%

1

9i&$!e 14+3- End ?o%ent# in (lende! Col$%n

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

 

14+F Cal"$late te %ini%$% %o%ent of te "ol$%n in $e#tion 10. if 

 N 4000 7N+

14+30 9!o% te follo,in& info!%ation. dete!%ine te %a>i%$% de#i&n %o%ent

of te "ol$%n-

?  00 7N%

?i  420 7N%

?add  3 7N%

 Ne%in  100 7N%

?1  )00 7N%

30%%

00%%

12

FEEDBAC 14(

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

Ho$! an#,e!# #o$ld be a# follo,#@

14+1F Total %o%ent. ?t

14+0 #y%%et!i"al bendin&

14+1 #y%%et!i"al

14+ A##y%%et!i"al bendin&

14+3  Ne%in 

14+4 0+0

14+ ? . ?i  ?add ./

1add 

 M  M   +   and e%in N

14+2   kNm M    1001 =

  kNm M    /00/  =

14+   /1   2+04+0   M  M  M i   +=

  ( ) ( )/002+01004+0   +−

  )0 7N%

14+)   he   0+0%in  =

  300+0   ×

  1+ %%

1

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

B$t. %ine  #o$ld not be le## tan 0 %%+

Te!efo!e. te %ini%$% e""ent!i"ity i# 0 %%+

14+F   %in Ne M  =

  310/04000

  −××

  )0 7N%

14+30  ?a>i%$% de#i&n i# ta7en a# te &!eate#t :al$e de!i:ed f!o% ?. ?i.

?add  . Ne%in  and ?1  + Te!efo!e. te %a>i%$% de#i&n %o%ent i# )00

7N%+

1)

IN2UT 4

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

14%,1 Des#$n E6'm0le

A b!a"ed #lende! "ol$%n of di%en#ion# 300 %% > 40 %% "a!!y an a>ial load of 

100 7N and end %o%ent# of 0 7N% and 10 7N% at $lti%ate li%it #tate+ Ti#

load and %o%ent# ind$"ed a do$ble "$!:at$!e abo$t >;a>i# a# #o,n belo,+ Te

effe"ti:e ei&t# a!e le>  2+% and ley  )+0 % + Te "a!a"te!i#ti" #t!en&t of 

%ate!ial# a!e f "$  30 N/%% and f y  420 N/%%+

 

Solu#on

(lende!ne## !atio-

1+//3+0

+2>==

h

l ex

1)+14+0

0+)>==

b

l ey

Ti# #o,# tat te "ol$%n i# #lende! and ,ill be de#i&ned a# #$"-

at te ti%e ,en do$ble "$!:at$!e o""$!# ,e a:e.

?1  ; 10 7N%

and

1/   4+02+0   M  M  M i   +=

  63052+061054+0   +−

1F

  (ECTION

14+4-Initial End ?o%ent#

?110 7N%

?

0 7N% b 40

  d 40

  300

d 20

6 x 

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

  3) 7N%

te!efo!e i M   i# &!eate! tan /4+0   M 

Additional %o%ent '!od$"ed by "ol$%n defle"tion i#.

 K b

l  Nh M    e

add 

/

E/000  

  

 =

  3

/

100+1300

20

/000

300100×× 

  

  ×

  1F 7N%

it 1+0 a# te initial t!ial :al$e. te total %o%ent i#.

add it    M  M  M    +=

  3) 1F

  12 7N%

30040

10100   3

××

=bh

 N 

  2

1/

  +0

/

2

/30040

1012

××

=bh

 M 

0

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

  4+1

9!o% te Col$%n e#i&n Ca!t No+.

/+3100

=bh

 A sc

and

2+0= K 

 No,. fo! te #e"ond t!ial ,e #all $#e 0+2. and !e"al"$late ?t. ,e a:e-

add it    M  M  M    +=

  3) )3+F1

  11+F1 7N%

9!o% Ca!t No+.

100

/+/   bh A

 sc  =

  10

30040/+/   ××

  F0 %%

 No, "e"7 te final :al$e of f!o% te de#i&n "a!t.

bd   f   N  cubal    /+0=

1

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

  5   /404030/+0   ×××  6 > 10 ;3  7N

  )10 7N

 sc ycuuz    A  f  bh  f   N    )+04+0   +=

  5   /F0420)+030040304+0   ××+×××  6 > 10 ;3  7N

  3011 7N

 No,. "al"$late te !ed$"tion fa"to! a# follo,#@

1≤−−

=bal uz 

uz 

 N  N 

 N  N  K 

  )103011

1003011

−−

  0+2

Ti# i# e*$al to te final :al$e in "ol$%n tab$lated belo,@

516 6 536 546 56

?t

/bh

 M 

bh

 A sc100  

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

1+0 12 4+1 3+ 0+2

0+2 1 3+0 0+2

Te ite!ation #to'# ,en :al$e in "ol$%n 516 i# a''!o>i%ately e*$al to :al$e in

"ol$%n 56+ Te!efo!e te a!ea of !einfo!"e%ent !e*$i!ed i# F0 %%+

<en"e. '!o:ide 4 T 3 5A#"  31) %%  6

T#es8

?ini%$% #ie 3/4

1×   ) %%

?a>i%$% #'a"in& 1 > 3 3)4 %% "ent!e#+

U#e R) at 3 "ent!e#+

etail# of te !einfo!"e%ent# a!e #o,n belo,@

3

Table 14+1- Ite!ation 8!o"e## of K  Val$e

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

Ti# $nit #o$ld a:e enabled yo$ to de#i&n a !einfo!"ed "on"!ete b!a"ed #lende! 

"ol$%n a""o!din& to B( )110 !e*$i!e%ent#+ Te B( )110K# de#i&n '!o"ed$!e fo! 

de#i&nin& ti# "ol$%n i# #$%%a!i#ed belo,-

(te' 1-

T3

T3

T3

R) 3

4

  SUMMAR&

14+- Re"tan&$la! Col$%n#

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

  Cal"$late te effe"ti:e ei&t. el 

(te' -

Cal"$late te total %o%ent abo$t a %ino! a>i# fo! N and ?t

?t i# ta7en a# te &!eate#t a%on& te follo,in& 5i6 to 5i:6@

5i6   add it    M  M  M    +=

5ii6   / M  M t  =

5iii6   add t   M  M  M 

/

11 +=

5i:6   %in Ne M t  =

(te' 3-

Cal"$late te total bendin& %o%ent on a %aMo! a>i# fo! N and ? t if te

!atio of te len&t of te lon&e! #ide to tat len&t of te #o!te! #ide i# le##

tan 3. and if /0≤h

l e +

(te' 4-

9o! bia>ial bendin& "al"$late te follo,in&@

a6 ?ty 5total %o%ent abo$t te %ino! a>i# 6

 b6 ?t> 5total %o%ent abo$t te %aMo! a>i# 6

"6 de#i&n fo! N. ?ty and ?t>

(te' -

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

Cal"$late te !ed$"tion fa"to! $#in& te e*$ation &i:en belo, @

1≤−−

=bal uz 

uz 

 N  N 

 N  N  K 

O! "an be !ead;off f!o% B( )110 8a!t 3 Col$%n e#i&n Ca!t#+

Con$r'ul'#ons9

Ho$ a:e no,

"o%'leted Unit 14

T$!n ba"7 to 'a&e 1

of ti# $nit+ <a:e

yo$ a"ie:ed te#e obMe"ti:e# #$""e##f$lly If yo$! an#,e! i# &ES. do te (elf;

A##e##%ent+ If yo$! an#,e! i# NO. &o t!o$& Unit 14 a&ain+

Read and an#,e! ti# *$e#tion+

2

SELF:ASSESSMENT

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

e#i&n te lon&it$dinal !einfo!"e%ent fo! te b!a"ed #lende! "ol$%n in 9i&$!e

#o,n belo, fo! bendin& abo$t te %ino! a>i#. if N 00 7N. ? 1y  100 7N%.

?y  10 7N%. f "$  40 N/%% and fy 420 N/%%+ A##$%e tat te "o:e!. "

0 %% and t!y T40 ba!# fo! e#ti%atin& te effe"ti:e de't+

Now (!e() *our 'nswers%

52+ %6

  N

  400

00>>

  y

  y

(lende! "ol$%n

FEEDBAC ON SELF:ASSESSMENT

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

9o! bendin& abo$t a %ino! a>i#. "al"$late ?i and ?add -

a6   /1   2+04+0   M  M  M i   +=

  50+4651006 0+25?6

  11 7N%

 b6   /+12400

200

E  ==

b

l e

"6   13+0=aβ 

d6 1+0

Re%e%be! tat. i# te de't in te 'lane of bendin&. i+e+ 400 %%+

64+06516513+065/005=add  M 

  130 7N%

add it    M  M  M    +=

  11 130

  4 7N%

?t  ?  10 7N%

add t    M  M  M /11 +=

  61305/

1100 +

  12 7N%

)

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

%in Ne M t  =   ,e!e. mme   /06400650+05%in   ==

  500650+06

  0 7N%

Ta7in& te &!eate#t :al$e@

?t  4 7N%

 No,.

f "$  40 N/%%

f y  420 N/%% 

and )2+000

/0000=

−−=

h

d  +

Te!efo!e $#e e#i&n Ca!t No+ 3) 5ta7in& d/ 0+)6+

4000061065/005   3

×=

bh

 N 

  1+ N/%%

/

2

/ 40000

61065/4/5

×=

bh

 M t 

  3+03 N/%%

9!o% te de#i&n "a!t.

A#"  1+0 5000 %%6

F

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

8!o:ide 4 #ie 3 ba!# 5312 %%  6

T#es8

Ho$ #o$ld "al"$late te %ini%$% #ie and #'a"in& of te tie# a# follo,#@

?ini%$% #ie 4

1> 3 ) %%

?a>i%$% #'a"in& 1 > 3 3)4 %%

U#e R) at 3 "ent!e#+

Te !einfo!"e%ent detail# a!e a# follo,#@

30

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

&OU S;OULD SCORE <=> OR MORE TO 2ASS T;IS UNIT% IF &OUR 

SCORE IS LESS T;AN <=>/ &OU S;OULD ?OR T;ROUG; T;IS

UNIT OR 2ARTS OF T;IS UNIT AGAIN% GOOD LUC9

@T!e 0ower o" wor) 'nd !e 0ower o" (re'#3#* ('n e *our s'l3'#on

NICOLE IDMAN #n ?'s!#n$on 2os

END OF UNIT 14

R) ; 3

T3

T3

  400

00

31

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REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT14/

GLOSSAR&

ENGLIS; MALA&

e""ent!i"ally loaded "ol$%n tian& dibebani #i'i

$nia>ial bendin& lent$!an #at$ 'a7#i

 bia>ial bendin& lent$!an d,i;'a7#i

t!an#:e!#e !einfo!"e%ent tet$lan& %e%b$M$!  

!e"tan&$la! #e"tion 7e!atan #e&ie%'at

 b$M$! 

#*$a!e "ol$%n tian& #e&ie%'at #a%a

tie# tet$lan& 'e%a$t

enan"e %o%ent %o%en te!ta%ba

%aMo! a>i# 'a7#i $ta%a

%ino! a>i# 'a7#i 7ed$a

#y%%et!y #i%et!i

 b!a"ed be!e%bat

$nb!a"ed ta7 be!e%bat

#lende! "ol$%n tian& lan&#in&

!ed$"tion fa"to! fa"to! 'en&$!an&an

3