L-04 Analysis and Design of Two-way Slab With Beams (Coloured)

7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)

http://slidepdf.com/reader/full/l-04-analysis-and-design-of-two-way-slab-with-beams-coloured 1/63

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Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr

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Gogiysms goh Hlsmò dc Xwd-wgy

Uigj Uystlf(^grt-M; Xwd Pgy Uigjs Uuppdrtlh do Utmcc

Jlgfs Dr Pgiis)

Jy; rdc Hr. Wgmsgr Gim

Emvmi Lo`mollrmo` Hlpgrtflot

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Xdpmes

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Hlsm o Lxgfpil : (7>>› Ð 3>› , 5-Utdrly Edfflremgi Jumihmo )

^rgetmel Lxgfpils

Zlclrloels

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Xwd-Pgy Uigj Uystlf (Ido` spgo/sbdrt spgo 9 :)

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Dol-Pgy Jlbgvmdr Xwd-Pgy Jlbgvmdr

Jlbgvmdr

Xwd-Pgy Jlohmo` dc Xwd-Pgy Uigjs





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Jlbgvmdr

Xwd-Pgy Jlohmo` dc Xwd-Pgy Uigjs



3

Ubdrt

Hmrletmdo

Jlbgvmdr

Ubdrt Hmrletmdo Fdflots mo Xwd-Pgy Uigj





0

Ido`

Hmrletmdo

Jlbgvmdr

Ido` Hmrletmdo Fdflots mo Xwd-Pgy Uigj



Fdrl Hlfgoh (Fdflot) mo sbdrt hmrletmdo hul td smzl

dc sigj

Θelotrgi Utrmp 6 (</528)wi 8/LM

Gs tblsl mfg`mogry strmps grl pgrt dc fdodimtbme sigj, tbl hlciletmdo gt

goy pdmot, dc tbl twd drtbd`dogi sigj strmps fust jl sgfl;

Θg 6 Θj

(</528)wgi g8/LM 6 (</528)wji j

8/LM

wg/wj 6 i j8/i g

8 wg 6 wj (i j8/i g

8)

Xbus, igr`lr sbgrl dc idgh (Hlfgoh) ms tgalo jy tbl sbdrtlr hmrletmdo.

2

Jlbgvmdr





Xbl Fdflot Edlccmemlot Fltbdh moeiuhlh cdr tbl cmrst tmfl mo

7=35 GEM Edhl ms gppimegjil td twd-wgy sigjs suppdrtlh do

cdur smhls dc lgeb sigj pgoli jy wgiis, stlli jlgfs rligtmvliy

hllp, stmcc, lh`l jlgfs (b 6 5bc ).

Gitbdu`b, odt moeiuhlh mo 7=00 goh igtlr vlrsmdos dc GEM edhl,

mts edotmoulh usl ms plrfmssmjil uohlr tbl GEM 572-77 edhl

prdvmsmdo (75.<.7). Smsmt GEM 75.<.7.

=




Fdflots;

Fg, ol 6 Eg, ol`wui g:

Fj, ol 6 Ej, ol`wui j:

Fg, pds,(hi + ii ) 6 F g,pds, hi + F g, pds, ii 6 Eg,pds, hi

Ð wu, hi Ð i g

: + Eg, pds, ii Ð wu, ii Ð i g:

Fj, pds,(hi + ii ) 6 Fj, pds,hi + Fj, pds, ii 6 Ej,pds, hi

Ð wu, hi Ð i j

: + Ej, pds, ii Ð wu, ii Ð i j:

Pblrl Eg, Ej 6 Xgjuigtlh fdflot edlccmemlots

wu 6 \itmfgtl uomcdrf idgh, psc

i g, i j 6 ilo tb dc eilgr spgos mo sbdrt goh ido` hmrletmdos rlspletmvliy.

7>

Fg,olì j

i g

Fg,ol`

Fg,pdsFj,ol` Fj,ol`Fj,pds






Egsls

Hlplohmo` do tbl suppdrt edohmtmdos, slvlrgi egsls grl pdssmjil;

77


8 spgos N :<›->‵

5 s p g o s N : > › - > ‵



7:


Egsls


8 spgos N :<›->‵

5 s p g o s N : > › - > ‵





75


Egsls


8 spgos N :<›->‵

5 s p g o s N : > › - > ‵



78


Egsls


8 spgos N :<›->‵

5 s p g o s N : > › - > ‵





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Odtl; Bdrmzdotgi smhls dc tbl cm url rlprlslots ido`lr smhl wbm il vlrtmegi smhl

rlprlslots sbdrtlr smhl.



73








70






72










:7






bfmo 6 plrmfltlr/ 72> 6 :(i g + i j)/72>

Egieuigtl idghs do sigj

Egieuigtl f 6 i g/ i j

Hlemhl gjdut egsl dc sigj

\sl tgjil td pmea fdflot edlccmemlots

Egieuigtl Fdflots goh tblo hlsmò

Gppiy rlmocdrelflot rlqumrlflots (sfgx 6 :bc , GEM 75.5.:)

::

Utlps mo Fdflot Edlccmemlot Fltbdh







Umzls

Cdr twd wgy sigj systlf

bfmo 6 plrmfltlr / 72> 6 :(i g + i j)/72>

bfmo 6 : (7: +73) /72> 6 >.577 ct 6 5.05 moeb

Gssufl < moeb sigj

Cdr dol wgy sigj systlf

Cdr <‵ sigj, spgo ilo tb i ms fmo. dc;

i 6 i o+ bc 6 2 + (</7:) 6 2.8:›

e/e hmstgoel jltwllo suppdrts 6 2.20<›

Uigj tbmeaolss (bc ) 6 (2.8:/:8) Ð (>.8+ /7>>>>>)

6 5.530‵ (fmo. jy GEM)

Xgamo < mo. sigj

:<

Hlsmò Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)

=› Pmhl Slrgohgb

i o 6 2›

i e/e 6 (2 + (=/7:) / : + >.<) 6 2.20<›

=‵ Jrmea Pgii

Uigj

b

73' R 7:' 73' R 7:'

=' Pmhl Slrgohgb

J7J7

ZEE Ediufo

=" jrmea fgsdory wgii

G

G

Uletmdo GG



Idghs

< moeb Uigj 6 </7: x >.7< 6 >.>3:< asc

8 moeb fuh 6 8/7: x >.7: 6 >.>8 asc

: moeb tmil 6 :/7: x >.7: 6 >.>: asc

Xdtgi HI 6 >.7::< asc

Cgetdrlh HI 6 7.: x >.7::< 6 >.780 asc

Cgetdrlh II 6 7.3 x >.>8 6 >.>38 asc

Xdtgi Cgetdrlh Idgh 6 >.:77 asc

:3






Gogiysms

Xbms systlf edosmst dc jdtb dol wgy goh twd wgy sigjs. Zddfs

(twd wgy sigjs) grl edotmoudus wmtb vlrgohgb (dol wgy sigj).

G systlf wblrl g twd wgy sigj ms edotmoudus wmtb g dol wgy sigj

dr vmel vlrsg ms egiilh g fmxlh sigj systlf.

:0


73' R 7:' 73' R 7:'

=' Pmhl Slrgohgb

J7J7

ZEE Ediufo

=" jrmea fgsdory wgii



Gogiysms

Xbl GEM gpprdxmfgtl fltbdhs dc gogiysms grl odt gppimegjil td

sueb systlfs jlegusl;

Mo egsl dc twd wgy sigjs, tbl fdflot edlccmemlot tgjils grl gppimegjil

td twd wgy sigj systlf wblrl g twd wgy sigj ms edotmoudus wmtb g twd

wgy sigj.

Mo egsl dc dol wgys sigjs, tbl GEM gpprdxmfgtl gogiysms ms gppimegjil

td dol wgy sigj systlf wblrl g dol wgy sigj ms edotmoudus wmtb g dol

wgy sigj.

:2








Gogiysms usmo` Fgougi Gpprdgeb

Cdr gpprdxmfgtl fgougi gogiysms dc twd wgy sigj dc rddfs, wl

aodw tbgt twd wgy sigjs dc rddfs grl odt doiy edotmoudus gido` tbl

ido` hmrletmdo jut gisd edotmoudus gido` tbl sbdrt hmrletmdo wmtb tbl

vlrgohgb sigj. Pl gssufl tbgt tbl vlrgohgb sigj ms g twd wgy sigj

mostlgh dc dol wgy sigj mo drhlr td egieuigtl Fj,ol`

Odw, usmo` Fdflot Edlccmemlot Fltbdh cdr gogiysms.

57


Fj,pds

F g , p d s

F g , o l `

Fj,ol`

Fj,pds

F g , o l `

F g , p d s



Xwd-Pgy Uigj Gogiysms

Egsl 6 8

f 6 i g/i j 6 7:/73 6 >.0<

Eg,ol` 6 >.>03

Ej,ol` 6 >.>:8

Eg,pdsHI 6 >.>85

Ej,pdsHI 6 >.>75

Eg,pdsII 6 >.><:

Ej,pdsII 6 >.>73


5:

73›

7:›

Fj,ol`Fj,pds

F g , p d s

Egsl 8

F g , o l `






Egsl 6 8

f 6 i g/i j 6 7:/73 6 >.0<

Eg,ol` 6 >.>03

Ej,ol` 6 >.>:8

Eg,pdsHI 6 >.>85

Ej,pdsHI 6 >.>75

Eg,pdsII 6 >.><:

Ej,pdsII 6 >.>73


55

73›

7:›

Fj,ol`Fj,pds

F g , p d s

Egsl 8

F g , o l `



Egsl 6 8

f 6 i g/i j 6 7:/73 6 >.0<

Eg,ol` 6 >.>03

Ej,ol` 6 >.>:8

Eg,pdsHI 6 >.>85

Ej,pdsHI 6 >.>75

Eg,pdsII 6 >.><:

Ej,pdsII 6 >.>73



58

73›

7:›

Fj,ol`Fj,pds

F g , p d s

Egsl 8

F g , o l `





Egsl 6 8

f 6 i g/i j 6 7:/73 6 >.0<

Eg,ol` 6 >.>03

Ej,ol` 6 >.>:8

Eg,pdsHI 6 >.>85

Ej,pdsHI 6 >.>75

Eg,pdsII 6 >.><:

Ej,pdsII 6 >.>73



5<

73›

7:›

Fj,ol`Fj,pds

F g , p d s

Egsl 8

F g , o l `



Egsl 6 8

f 6 i g/i j 6 7:/73 6 >.0<

Eg,ol` 6 >.>03

Ej,ol` 6 >.>:8

Eg,pdsHI 6 >.>85

Ej,pdsHI 6 >.>75

Eg,pdsII 6 >.><:

Ej,pdsII 6 >.>73



53

73›

7:›

Fj,ol`Fj,pds

F g , p d s

Egsl 8

F g , o l `





Egsl 6 8

f 6 i g/i j 6 7:/73 6 >.0<

Eg,ol` 6 >.>03

Ej,ol` 6 >.>:8

Eg,pdsHI 6 >.>85

Ej,pdsHI 6 >.>75

Eg,pdsII 6 >.><<

Ej,pdsII 6 >.>73



50

73›

7:›

Fj,ol`Fj,pds

F g , p d s

Egsl 8

F g , o l `



52



Egieuigtmo` fdflots usmo` GEM Edlccmemlots;

Fg, ol 6 Eg, ol wui g:

Fj, ol 6 Ej, ol wui j:

Fg, pds, (hi + ii ) 6 F g,pds, hi + F g, pds, ii 6 Eg,pds, hi Ð wu, hi Ð i g: + Eg, pds, ii Ð wu, ii Ð i g

:

Fj, pds, (hi + ii ) 6 Fj,pds, hi + Fj, pds, ii 6 Ej,pds, hi Ð wu, hi Ð i j: + Ej, pds, ii Ð wu, ii Ð i j:

\smo` gjdvl rligtmdos tbl fdflots egieuigtlh grl;

Eg,ol` 6 >.>03 Ej,ol` 6 >.>:8

Eg,pdsII 6 >.><: Ej,pdsII 6 >.>73

Eg,pdsHI 6 >.>85 Ej,pdsHI 6 >.>75

wu, hi 6 >.780 asc, wu, ii 6 >.>38 asc , wu 6 >.:77 asc

Fg,ol` 6 :.57 ct-amp

Fj,ol` 6 7.:= ct-amp

Fg,pds 6 7.5= ct-amp

Fj,pds 6 >.03ct-amp

73›

7:›

Fj,ol`Fj,pds

F g , p d s

Egsl 8

F g , o l `





Dol Pgy Uigj Gogiysms

Cdr egieuigtmdo dc Fvlr (+vl) gido` tbl sbdrt hmrletmdo mo tbl vlrgohgb

sigj, wl wmii pmea tbl edlccmemlots dc edotmoudus dol wgy sigjs bgvmo`

twd spgos.

Odw, usmo` GEM Gpprdxmfgtl gogiysms prdelhurl (GEM 2.55) cdr gogiysms.

5=


F v l r ( + v l ) F

v l r ( - v l )



8>


Dol-Pgy Uigj Gogiysms

Cdr twd spgo dol wgy sigj systlf, pdsmtmvl fdflot gt fmhspgo ms `mvlo gs

cdiidws;

Fvlr (+vl) 6 wui o:/78

Fvlr (+vl) 6 >.:77 Ð (2):/78

6 >.=3 ct-a/ct

Fvlr (-vl) 6 wui o:/= 6 7.< ct-a/ct

=› Pmhl Slrgohgb

i o 6 2›

=‵ Jrmea Pgii

Pu 6 >.:77 asc

b

7/78

7/= 7/=UpgohrliUuppdrt

UmfpiyUuppdrtlh

Cdr ol gtmvl fdflot gjdvl tbl ido` wgii edffdo

td rddfs goh vlrgohg, fgxmfuf fdflot wmii jlpmealh crdf jdtb gogiysls.

Fdflot dc :.5 crdf twd wgy sigj gogiysms ms fdrltbgo 7.<, tblrlcdrlwl wmii hlsm o cdr :.57.

7/:8







85


Hlsm o dc Xwd-Pgy Uigj

Cdr Fg,ol` 6 :.57 ct-amp6 :0.07 mo-amp ? 72.3> mo-amp; Gs 6 >.:> mo: (#5N 3.3‵ e/e)

\smo #5 N 3‵ e/e

Cdr Fj,ol` 6 7.:= ct-amp6 7<.<3 mo-amp 9 72.3> mo-amp; \smo` #5 N 7> e/e

Cdr Fg,pds 6 7.5= ct-amp6 73.30 mo-amp 9 72.3> mo-amp; \smo #5 N 7> e/e

Cdr Fj,pds 6 >.03 ct-amp 6 =.>: mo-amp 9 72.3> mo-amp; \smo` #5 N 7>‵ e/e

73›

7:›

Fj,ol`Fj,pds

F g , p d s

Egsl 8

F g , o l `



88


Hlsm o dc Xwd-Pgy Uigj

Zlmocdrelflot gt Hmsedotmoudus Lohs

Zlmocdrelflot gt hmsedotmoudus lohs mo g twd wgy sigj ms 7/5 dc tbl pdsmtmvl

rlmocdrelflot.

^dsmtmvl rlmocdrelflot gt fmhspgo mo tbms egsl ms #5 N 7> e/e. Xblrlcdrl

rlmocdrelflot gt hmsedotmoudus loh fgy jl prdvmhlh N 5> e/e.

Bdwlvlr, mo cmlih prgetmel, tbl spgemo` dc rlmocdrelflot gt hmsedotmoudus lohs

slihdf lxellhs 72 e/e. Xbl sgfl ms prdvmhlh blrl gs wlii.

Uuppdrtmo` Jgrs

Uuppdrtmo` jgrs grl prdvmhlh td suppdrt ol gtmvl rlmocdrelflot.

Xbly grl prdvmhlh plrplohmeuigr td ol gtmvl rlmocdrelflot, `lolrgiiy gt spgemo`

dc 72 e/e.





8<


Hlsm o dc Dol-Pgy Uigj

Fgmo Zlmocdrelflot;

Fvlr (+vl) 6 78.05 mo-amp

Gs,fmo 6 >.>>:jbc 6 >.>>:(7:)(<) 6 >.7: mo:

\smo` #5 jgrs, spgemo` 6 (>.77/>.7:) Ð 7: 6 77‵ e/e

Cdr dol-wgy sigjs, fgx spgemo jy GEM 6 5b 6 5(<) 6 7<‵ dr 72‵ 6 7<‵ e/e

Cdr #5 jgrs N 7<‵ e/e, Gs 6 (>.77/7<) Ð 7: 6 >.>= mo:. Bloel usmo` Gs,fmo 6 >.7: mo:

g 6 (>.7: Ð 8>)/(>.2< Ð 5 Ð 7:) 6 >.73‵

ΣFo 6 ΣGsfmoc y(h ― g/:) 6 >.= Ð >.7: Ð 8>(8 ― (>.73/:)) 6 73.=8 mo-amp ? Fvlr (+vl)

Xblrlcdrl, usmo` #5 N 77‵ e/e

Bdwlvlr, cdr cgemimtgtmo` cmlih wdra, wl wmii usl #5 N 7>‵ e/e



83


Hlsm o dc Dol-Pgy Uigj

Ubrmoag`l Zlmocdrelflot;

Gst 6 >.>>:jbc 6 >.7: mo: (#5 N 77‵ e/e)

Bdwlvlr, cdr cgemimtgtmo` cmlih wdra, wl wmii usl #5 N 7>‵ e/e





80

Slrgohgb Jlgf Hlsmò

Utlp >7; Umzls

Ilt hlptb dc jlgf 6 72‵

i o + hlptb dc jlgf 6 7<.20<› + (72/7:) 6 70.50<›

e/e hmstgoel jltwllo jlgf suppdrts

6 73.50< + (8.</7:) 6 73.0<›

Xblrlcdrl i 6 73.0<›

Hlptb (b) 6 (73.0</72.<) Ð (>.8 + 8>>>>/7>>>>>) Ð 7:

6 2.3=‵ (Fmomfuf rlqumrlflot dc GEM =.<.:.:).

Xgalb 6 7.<› 6 72‵

h 6 b ― 5 6 7<‵

j 6 7 :‵


Slrgohgb Jlgf

73.50< 73.50.<(7:/7:) 6 7<.20.<(7:/7:) 6 7<.20<



82

Slrgohgb Jlgf Hlsmò

Utlp >:; Idghs

Idgh do jlgf wmii jl lqugi td

Cgetdrlh idgh do jlgf crdf sigj + cgetdrlh

slic wlm`bt dc jlgf wlj

Cgetdrlh idgh do sigj 6 >. :77 asc

Idgh do jlgf crdf sigj 6 >. :77 asc x < 6

7.><< a/ct

Cgetdrlh Ulic idgh dc jlgf wlj 6

6 7.: x (75 Ð 7:/788) Ð >.7< 6 >.7=< a/ct

Xdtgi idgh do jlgf 6 7.><< + >.7=<

6 7.:< a/ct

<›


i o 6 2›

=‵ Jrmea Pgii

2/: 6 8›

7:‵Ediufo

8› + 7› 6 <›





8=

Slrgohgb Jlgf

Hlsmò

Utlp >5; Gogiysms

\smo` GEM Fdflot

Edlccmemlots cdr gogiysms

dc vlrgohgb jlgf


73.50.<(7:/7:) 6 7<.20.<(7:/7:) 6 7<.20< 73.50<

73.50.>5 mo-amp

Slrlohg jlgf ms i jlgf,

jl



Jlgf Hlsmò

Cilxurl Hlsmò;

Ublgr Hlsmò;

Ufgx ms fmo. dc; (7) Gvc y/(<>jw) 6 78.30‵ (:) h/:60.<‵ (5) :8‵ e/e (8) Gvc y/ >.0<∛(c e› )jw 6 70.2<‵

<>


Fu

(mo-amp)h

(mo.)j

(mo.)Gs

(mo:)Gsfmo

(mo:)Gsfgx

(mo:)Gs

(`dvlromo`)Jgr

uslh# dcjgrs

585.33 (+) 7< :2.0< (jlcc ) >.38 >.=> 5.3<8 >.=> #8 <

#< 5

8:>.>5 (-) 7< 7: >.27 >.=> 5.3<8 >.=> #8 <

#8 + #< : + :

Idegtmdo Su (N h)(amp)

ΣSe 6 Σ: ›jwh

(amps) ΣSe ? Su, Bloel

prdvmhmo` fmomfufrlmocdrelflot.

sfgx,

GEM

U tgalo(#5 :-il``lh)

Lxtlrmdr 2.58 78.02 0.<‵ 0.<‵

Motlrmdr =.37 78.02 0.<‵ 0.<‵





<7


Ediufo Hlsmò

Umzls;

Ediufo smzl 6 7:‵ Ð 7:‵

Idghs;

û 6 77.87 Ð : 6 ::.2: amp

Slrgohgb Ediufo



<:


Ediufo Hlsmò

Fgmo Zlmocdrelflot Hlsm o;

Odfmogi strlo`tb (Σô) dc gxmgiiy idghlh ediufo ms;

Σô 6 >.2>Σ {>.2<c e› (G ― Gst) + Gstc y} {cdr tmlh ediufo, GEM 7>.5.3}

Ilt Gst 6 7% dc G` (Gst ms tbl fgmo stlli rlmocdrelflot grlg)

Σô 6 >.2> Ð >.3< Ð {>.2< Ð 5 Ð (788 ― >.>7 Ð 788) + >.>7 Ð 788 Ð 8>}

6 :72.=2 amp ? û 6 ::.2: amp, D.A.

Gst 6>.>7 Ð 788 67.88 mo:

\smo` 5/8‵ Σ (#3) wmtb jgr grlg Gj 6 >.88 mo:

Od. dc jgrs 6 7.88/>.88 6 5.:0 ≂ 8 jgrs

\sl8 #3 jgrs(dr 2 #8 jgrs) goh#5 tmls N =‵ e/e







<<


Hrgctmo` Hltgmis cdr Slrgohgb Jlgf

: #< Jgrs

: #8 Jgrs

ULEXMDO J-J

7:"

72"

<"

5 #< Jgrs

#5,: il``lh stmrrups N 0.<" e/e

ULEXMDO G-G

7:"

72"

<"

5 #< Jgrs

#5,: il``lh stmrrups N 0.<" e/e

: #8 Jgrs

G

G

G

G

: #8 + : #< Jgrs

JLGF (J7)

J

J

I 6 77'-7>.<" I 6 77'-7>.<"

>.55I 6 8'->" >.55I 6 8'->"

: #8 Jgrs

5 #< Jgrs #5, : il``lh stmrrups N 0.<" e/e

s /:65.0<"

5 #< Jgrs 5 #< Jgrs

J

J



<3


Hrgctmo` Hltgmis cdr Slrgohgb Ediufo

DZ

7:"

8 #3 Jgrs

#5 tmls N =" e/e

7:"

7:"

#5 Xmls N =" e/e

8 #3 Jgrs

2#8 jgrs

#5 tmls N =" e/e

7:"

7:"

7:"

2 #8 Jgrs

#5 Xmls N =" e/e





G 7>>› 3>› , 5-stdrly edfflremgi jumihmo` ms td jl hlsm olh. Xbl `rmhs dc

ediufo pigo grl cmxlh jy tbl grebmtlet.

Mo tbms lxgfpil, tbl sigj dc dol dc tbl ciddrs dc tbms 5-stdrly jumihmo` wmii

jl hlsm olh.

<0

Hlsmò Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)



@mvlo Hgtg;

Fgtlrmgi ^rdplrtmls;

c › e 6 5 asm, cy 6 8> asm

Umzls;

Uigj tbmeaolss 6 0‵

Ediufos 6 78‵ 78‵

Jlgfs 6 78‵ :>‵

Idghs;

U.H.I 6 Omi

Ulic Plm`bt6 >.7< x (0/7:) 6 >.>20< asc

I.I 6 788 psc 6 >.788 asc 1 wu 6 >.553 asc

<2








Xwd-Pgy Uigj Gogiysms (^goli-M)

Egsl 6 8

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.>07

Ej,ol` 6 >.>:=

Eg,pdsHI 6 >.>5=

Ej,pdsHI 6 >.>73

Eg,pdsII 6 >.>82

Ej,pdsII 6 >.>:>


37

Egsl 8 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`




Egsl 6 8

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.>07

Ej,ol` 6 >.>:=

Eg,pdsHI 6 >.>5=

Ej,pdsHI 6 >.>73

Eg,pdsII 6 >.>82

Ej,pdsII 6 >.>:>


3:

Egsl 8 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`






Egsl 6 8

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.>07

Ej,ol` 6 >.>:=

Eg,pdsHI 6 >.>5=

Ej,pdsHI 6 >.>73

Eg,pdsII 6 >.>82

Ej,pdsII 6 >.>:>


35

Egsl 8 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`




Egsl 6 8

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.>07

Ej,ol` 6 >.>:=

Eg,pdsHI 6 >.>5=

Ej,pdsHI 6 >.>73

Eg,pdsII 6 >.>82

Ej,pdsII 6 >.>:>


38

Egsl 8 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`







Xwd-Pgy Uigj Gogiysms (^goli-MM)

Egsl 6 =

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.>0<

Ej,ol` 6 >.>70

Eg,pdsHI 6 >.>:=

Ej,pdsHI 6 >.>7>

Eg,pdsII 6 >.>8:

Ej,pdsII 6 >.>70

Egsl = i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`Fj,ol`

F

g , o l `


30




Egsl 6 =

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.>0<

Ej,ol` 6 >.>70

Eg,pdsHI 6 >.>:=

Ej,pdsHI 6 >.>7>

Eg,pdsII 6 >.>8:

Ej,pdsII 6 >.>70


32

Egsl = i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`Fj,ol`

F g , o l `






Egsl 6 =

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.>0<

Ej,ol` 6 >.>70

Eg,pdsHI 6 >.>:=

Ej,pdsHI 6 >.>7>

Eg,pdsII 6 >.>8:

Ej,pdsII 6 >.>70


3=

Egsl = i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`Fj,ol`

F

g , o l `




Egsl 6 =

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.>0<

Ej,ol` 6 >.>70

Eg,pdsHI 6 >.>:=

Ej,pdsHI 6 >.>7>

Eg,pdsII 6 >.>8:

Ej,pdsII 6 >.>70


0>

Egsl = i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`Fj,ol`

F g , o l `







05






:

Fj, pds, (hi + ii ) 6 Fj,pds, hi + Fj, pds, ii 6 Ej,pds, hi Ð wu, hi Ð i j: + Ej, pds, ii Ð wu, ii Ð i j

:


Eg,ol` 6 >.>0< Ej,ol` 6 >.>70

Eg,pdsII 6 >.>8: Ej,pdsII 6 >.>70

Eg,pdsHI 6 >.>:= Ej,pdsHI 6 >.>7>

wu, hi 6 >.7>< asc, wu, i i 6 >.:5>8 asc , wu 6 >.553 asc

Fg,ol` 6 2.=7 ct-a (7>3.= mo-a)

Fj,ol` 6 5.:8 ct-a (52.2 mo-a)

Fg,pds 6 8.<7 ct-a (<8.7 mo-a)

Fj,pds 6 :.2: ct-a (55.2 mo-a)


Egsl = i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`Fj,ol`

F

g , o l `



Xwd-Pgy Uigj Gogiysms (^goli-MMM)

Egsl 6 2

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.><<

Ej,ol` 6 >.>87

Eg,pdsHI 6 >.>5:

Ej,pdsHI 6 >.>7<

Eg,pdsII 6 >.>88

Ej,pdsII 6 >.>7=

Egsl 2 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`

Fj,ol`

F g , o l `


08






Egsl 6 2

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.><<

Ej,ol` 6 >.>87

Eg,pdsHI 6 >.>5:

Ej,pdsHI 6 >.>7<

Eg,pdsII 6 >.>88

Ej,pdsII 6 >.>7=


0<

Egsl 2 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`

Fj,ol`

F g , o l `




Egsl 6 2

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.><<

Ej,ol` 6 >.>87

Eg,pdsHI 6 >.>5:

Ej,pdsHI 6 >.>7<

Eg,pdsII 6 >.>88

Ej,pdsII 6 >.>7=


03

Egsl 2 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`

Fj,ol`

F g , o l `






Egsl 6 2

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.><<

Ej,ol` 6 >.>87

Eg,pdsHI 6 >.>5:

Ej,pdsHI 6 >.>7<

Eg,pdsII 6 >.>88

Ej,pdsII 6 >.>7=


00

Egsl 2 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`

Fj,ol`

F g , o l `




Egsl 6 2

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.><<

Ej,ol` 6 >.>87

Eg,pdsHI 6 >.>5:

Ej,pdsHI 6 >.>7<

Eg,pdsII 6 >.>88

Ej,pdsII 6 >.>7=


02

Egsl 2 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`

Fj,ol`

F g , o l `






Egsl 6 2

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.><<

Ej,ol` 6 >.>87

Eg,pdsHI 6 >.>5:

Ej,pdsHI 6 >.>7<

Eg,pdsII 6 >.>88

Ej,pdsII 6 >.>7=


0=

Egsl 2 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`

Fj,ol`

F g , o l `



2>






:

Fj, pds, (hi + ii ) 6 Fj,pds, hi + Fj, pds, ii 6 Ej,pds, hi Ð wu, hi Ð i j: + Ej, pds, ii Ð wu, ii Ð i j:


Eg,ol` 6 >.><< Ej,ol` 6 >.>87

Eg,pdsII 6 >.>88 Ej,pdsII 6 >.>7=

Eg,pdsHI 6 >.>5: Ej,pdsHI 6 >.>7<


Fg,ol` 6 3.<8 ct-a (02.8 mo-a)

Fj,ol` 6 0.2> ct-a (=5.3 mo-a)

Fg,pds 6 8.02 ct-a (<0.8 mo-a)

Fj,pds 6 5.52 ct-a (8>.< mo-a)


Egsl 2 i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`

Fj,ol`

F g , o l `







Xwd-Pgy Uigj Gogiysms (^goli-MS)

Egsl 6 :

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.>3<

Ej,ol` 6 >.>:0

Eg,pdsHI 6 >.>:3

Ej,pdsHI 6 >.>77

Eg,pdsII 6 >.>87

Ej,pdsII 6 >.>70


25

Egsl : i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`

Fj,ol`

F

g , o l `




Egsl 6 :

f 6 i g/i j 6 72.25/:5.25 6 >.02 ≂ >.2>

Eg,ol` 6 >.>3<

Ej,ol` 6 >.>:0

Eg,pdsHI 6 >.>:3

Ej,pdsHI 6 >.>77

Eg,pdsII 6 >.>87

Ej,pdsII 6 >.>70


28

Egsl : i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`

Fj,ol`

F g , o l `







20






:

Fj, pds, (hi + ii ) 6 Fj,pds, hi + Fj, pds, ii 6 Ej,pds, hi Ð wu, hi Ð i j: + Ej, pds, ii Ð wu, ii Ð i j

:


Eg,ol` 6 >.>3< Ej,ol` 6 >.>:0

Eg,pdsII 6 >.>87 Ej,pdsII 6 >.>70

Eg,pdsHI 6 >.>:3 Ej,pdsHI 6 >.>77


Fg,ol` 6 0.0: ct-a (=:.0 mo-a)

Fj,ol` 6 <.78 ct-a (37.3 mo-a)

Fg,pds 6 8.57 ct-a (<7.2 mo-a)

Fj,pds 6 :.22 ct-a (58.< mo-a)


Egsl : i g 6 72.25›

i j 6 :5.25›

F g , o l `

F g , p d s

Fj,pdsFj,ol`

Fj,ol`

F

g , o l `



22

Gogiysms Zlsuits (Gii vgiuls grl mo ct-amp)


2.8:

8 spgos N :<›->‵

5 s p g o

s N : > › - > ‵

<.50<.<:5.<0

2.=7

2.=7

5.:88.<7

:.2:

3.<8

0.2> 0.2>8.025.52

0.0:

0.0:

<.78<.788.57

:.22>.=8

7.7=

7.0= 7.3>Fol` gt Odo-

Edotmoudus Loh 6

7/5 dc Fpds

ODXL; Pbmtl; Ido`lr Hmrletmdo Fdflots, ]liidw; Ubdrtlr Hmrletmdo Fdflots





2=


Uigj Hlsmò

Cmrst hltlrfmomo` tbl egpgemty dc fmo. rlmocdrelflot;

Gs,fmo 6 >.>>:jbc 6 >.>>: Ð 7: Ð 0 6 >.70 mo:

Cdr #8 jgrs, spgemo` 6 (>.:>/>.70) Ð 7: 6 78.: e/e.

GEM fgx spgemo` cdr twd-wgys sigjs 6 :b 6 :(0) 6 78 dr 72

\smo` #8 N 7: e/e

Cdr tbl 7: spgemo`; Gs 6 (>.:>/7:) Ð 7: 6 >.:> mo:. Bloel Gs,fmo 6 >.:> mo:

Egpgemty cdr Gs,fmo

; g 6 (>.:> Ð 8>)/(>.2< Ð 5 Ð 7:) 6 >.:3

ΣFo 6 ΣGsfmoc y(h ― g/:) 6 {>.= Ð >.:> Ð 8>(3 ― (>.:3/:))}/7: 6 5.<: ct-amp



=>


Uigj Hlsmò

^dsmtmvl Fdflots mo Ido` Hmrletmdo;

5.<0 ct-amp/ct

5.52 ct-amp/ct

:.2: ct-amp/ct

:.22 ct-amp/ct

Umoel gii tbl gjdvl fdflots vgiuls grl gifdst lqugi td dr ilss tbgo

5.<: ct-amp/ct. Xblrlcdrl usmo` #8 N 7: e/e cdr gii pdsmtmvl fdflots mo

Ido`lr hmrletmdo.





=7


Uigj Hlsmò

^dsmtmvl Fdflots mo Ubdrt Hmrletmdo;

<.50 ct-amp/ct

8.<7 ct-amp/ct

8.02 ct-amp/ct

8.57 ct-amp/ct

\smo` trmgi goh sueelss fltbdh cdr hltlrfmomo` Gs cdr <.50 ct-amp/ct;

Gssufl g 6 >.:h6 >.:(3) 6 7.:, Gs 6 (<.50 Ð 7:)/{>.= Ð 8>(3 ― (7.:/:))} 6 >.55 mo:

Odw, g 6 (>.55 Ð 8>)/(>.2< Ð 5 Ð 7:) 6 >.85, Gs 6 >.57 mo:

Cdr #8 jgrs, spgemo` 6 (>.:>/>.57) Ð 7:6 0.0

Gs gii tbl gjdvl fdflots grl gifdst sgfl, wl wmii usl #8 N 0 e/e cdr gii gjdvl

fdflots.



=:


Uigj Hlsmò

Ol`gtmvl Fdflots gt Odo-Edotmoudus Lohs mo Ubdrt & Ido` Hmrletmdos;

7.7= ct-amp/ct

7.0= ct-amp/ct

7.3> ct-amp/ct

>.=8 ct-amp/ct

Umoel, gii tbl gjdvl fdflots grl

ilss tbgo 5.<: ct-amp/ct, tblrlcdrl usmo`

#8 N 7: e/e







Uigj Zlmocdrelflot Hltgmis

=<

G

JJJ

E

E

G

E EJ

G

G

JG

E

E

G

G J

G

G6 #8 N 7:‵

J 6 #8 N 0‵

E 6 #8 N 8.<‵

8 spgos N :<›->‵

5 s p g o s N : > › - > ‵





=3


Idgh Xrgosclr crdf Uigj td tbl Jlgf

Zlvmlw dc Idgh trgosclr td Jlgf crdf Dol-Pgy Uigjs

• Mo egsl dc dol-wgy sigj systlf tbl lotmrl sigj idgh ms trgosclrrlh mo sbdrt hmrletmdo.

• Idgh trgosclr mo sbdrt hmrletmdo 6 (Pu Ð i / : Ð 7) + (Pu Ð i / : Ð 7)

• Idgh trgosclr mo ido` hmrletmdo 6 Pu Ð i / : Ð >

i /:

i /:

i /: i /:





=0

Idgh trgosclr crdf Uigj td Jlgf

Idgh Xrgosclr td Jlgf crdf Xwd-Pgy Uigj

• Mo egsl dc twd wgy sigj systlf, lotmrl sigj idgh ms ODX trgosclrrlh mo sbdrtlr hmrletmdo.

• Idgh trgosclr mo sbdrtlr hmrletmdo 6 (Pu Ð i / : Ð Pg ) + (Pu Ð i / : Ð Pg )

Ido`lr Hmrletmdo

8 spgos N :<› ->‵

5 s p go s N : > › - > ‵

U b dr t lr Hm r l e t m do

^goli M ^goli M

^goli M ^goli M

^goli MM ^goli MM

^goli MMM ^goli MMM

^goli MMM ^goli MMM

^goli MS ^goli MS

Xbms vgiul wmii ODX jl 7 mo tbms egsl, Mt ms splemcmlh jy GEM Xgjil• Idgh trgosclr mo ido`lr hmrletmdo 6 (Pu Ð i / : Ð Pj ) + (Pu Ð i / : Ð Pj )

Pj 6 7 -Pg

GEM Xgjil cdr Pg vgiuls




=2



8 spgos N :<› ->‵

5 s p go s N : > › - > ‵

^goli M ^goli M

^goli M ^goli M

^goli MM ^goli MM

^goli MMM ^goli MMM

^goli MMM ^goli MMM

^goli MS ^goli MS

Idgh Xrgosclr crdf Uigj td Jlgf J7

• Idgh ms trgosclrrlh td J7 crdf ^goli-M goh ^goli-MM mo

sbdrt hmrletmdo

6 Pu Ð i / : Ð Pg,^goli-M + Pu Ð i / : Ð Pg,^goli-MM

6 >.553 Ð :>/: Ð >.07 + >.553 Ð :>/: Ð >.25

6 <.70 a/ct


: > ›

Pu 6 >.553 asc U b dr t lr Hm r l e t m do

: > ›

Pu 6 >.553 asc

• Pu 6 >.553 asc

• Pg,^goli-M 6 >.07

• Pg,^goli-MM 6 >.25






==



8 spgos N :<› ->‵

5 s p go s N : > › - > ‵

^goli M ^goli M

^goli M ^goli M

^goli MM ^goli MM

^goli MMM ^goli MMM

^goli MMM ^goli MMM

^goli MS ^goli MS

Idgh Xrgosclr crdf Uigj td Jlgf J:

• Idgh ms trgosclrrlh td J: crdf ^goli-M goh ^goli-MMM mo

ido` hmrletmdo

6 Pu Ð i / : Ð Pj,^goli-M + Pu Ð i / : Ð Pj,^goli-MMM

6 >.553 Ð :</: Ð (7 - >.07) + >.553 Ð :</: Ð

(7 - >.<<)

6 5.77 a/ct


: > ›

Pu 6 >.553 asc U b dr t lr Hm r l e t m do

: > ›

Pu 6 >.553 asc

• Pu 6 >.553 asc

• Pj,^goli-M 6 (7 ― Pg,^goli-M) 6 7 - >.07 6 >.:=

• Pj,^goli-MMM 6 (7 ― Pg,^goli-MMM) 6 7 - >.<< 6 >.8<




Fdflot Edlccmemlot Fltbdh; Lxgfpil :

Idgh Do Jlgfs crdf edlccmemlot tgjils

7>>

Xgjil; Idgh do jlgf mo ^goli M, usmo`

Edlccmemlots

(wu 6 >.553 asc)

JlgfIlo`tb

(ct)

Pmhtb (js)

dc sigjpgoli

suppdrtlhjy jlgf

Pg Pj

Idgh hultd sigj,

Pwujs(a/ct)

J7 :< 7> >.07 - :.5=

J: :< 7> >.07 - :.5=

J5 :> 7:.< - >.:= 7.::

J8 :> 7:.< - >.:= 7.::

^goli M

8 spgos N :<›->‵

5 s p g o s N

: > › - > ‵

J7

J7

J:

J:

J5 J5 J5 J8J8








Xgjil; Idgh do jlgf mo ^goli MM, usmo`

Edlccmemlots

(wu 6 >.553 asc)

JlgfIlo`tb

(ct)

Pmhtb (js)dc sigjpgoli

suppdrtlhjy jlgf

Pg Pj

Idgh hultd sigj,Pwujs

(a/ct)

J7 :< 7> >.25 - :.02

J5 :> 7:.< - >.70 >.078

J8 :> 7:.< - >.70 >.078



J7

J7

J:

J:

J5 J5 J5 J8J8

^goli MM

8 spgos N :<›->‵

5 s p g o s N : > › - > ‵

7>5


^goli MM





7>8

8 spgos N :<›->‵

5 s p g o s N

: > › - > ‵

J7

J7

J:

J:

J5 J5 J5 J8J8

Xgjil; Idgh do jlgf mo ^goli MMM, usmo`

Edlccmemlots

(wu 6 >.553 asc)

JlgfIlo`tb

(ct)

Pmhtb (js)

dc sigjpgoli

suppdrtlhjy jlgf

Pg Pj

Idgh hultd sigj,

Pwujs(a/ct)

J7 :< 7> >.<< - 7.28

J: :< 7> >.<< - 7.28

J5 :> 7:.< - >.8< 7.2=


^goli MMM





Xgjil; Idgh do jlgf mo ^goli MMM, usmo`

Edlccmemlots

(wu 6 >.553 asc)

JlgfIlo`tb

(ct)

Pmhtb (js)dc sigjpgoli

suppdrtlhjy jlgf

Pg Pj

Idgh hultd sigj,Pwujs

(a/ct)

J7 :< 7> >.<< - 7.28

J: :< 7> >.<< - 7.28

J5 :> 7:.< - >.8< 7.2=



J7

J7

J:

J:

J5 J5 J5 J8J8

^goli MMM

8 spgos N :<›->‵

5 s p g o s N : > › - > ‵

7><


^goli MMM





7>3

8 spgos N :<›->‵

5 s p g o s N

: > › - > ‵

J7

J7

J:

J:

J5 J5 J5 J8J8

Xgjil; Idgh do jlgf mo ^goli MS, usmo`

Edlccmemlots

(wu 6 >.553 asc)

JlgfIlo`tb

(ct)

Pmhtb (js)

dc sigjpgoli

suppdrtlhjy jlgf

Pg Pj

Idgh hultd sigj,

Pwujs(a/ct)

J7 :< 7> >.07 - :.5=

J5 :> 7:.< - >.:= 7.::


^goli MS











Gogiysms dc Jlgfs

Motlrmdr Jlgf J7

775




Gogiysms dc Jlgfs

Lxtlrmdr Jlgf J:

778






Gogiysms dc Jlgfs

Motlrmdr Jlgf J5

77<




Gogiysms dc Jlgfs

Lxtlrmdr Jlgf J8

773


7 .8 < a / c t





770

^meturls dc g Fuitm Utdrly

Edfflremgi Jumihmo`



772

^meturls dc g Fuitm Utdrly

Edfflremgi Jumihmo`





Hmcclrlot Utg`ls dc Jumihmo` Edostruetmdo

77=

^bgsls dc Edostruetmdo



Fdflot Edlccmemlot Fltbdh; Bdfl Pdra

Hlsm o tbl `mvlo sigj systlf

7:>

^goli M ^goli M

^goli M ^goli M

^goli MM ^goli MM

^goli MMM ^goli MMM

^goli MMM ^goli MMM

^goli MS ^goli MS

8 spgos N :<›->‵

5 s p g o s N : > › - > ‵

Uigj tbmeaolss 6 3‵

UHI 6 8> psc

II 6 3> psc

c e› 65 asm

c y 6 8> asm

^rgetmel Lxgfpils







Xbl Loh

7:5



7:8





7:<

Gogiysms Zlsuits (Gii vgiuls grl mo ct-amp)


2.8:

8 spgos N :<›->‵

5 s p g o s N : > › - > ‵

<.50<.<:5.<0

2.=7

2.=7

5.:88.<7

:.2:

3.<8

0.2> 0.2>8.025.52

0.0:

0.0:

<.78<.788.57

:.22>.=8

7.7=

7.0= 7.3>Fol` gt Odo-

Edotmoudus Loh 6

7/5 dc Fpds

L-04 Analysis and Design of Two-way Slab With Beams (Coloured)

Documents