l 02 analysis and design of one way slab system sep 2015

7/23/2019 L 02 Analysis and Design of One Way Slab System Sep 2015

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^rad. Er. Xhmshr H`m [bmgdarjbe Jagjrbtb Ebsmig ‚ MM

Ebphrtfbgt ad Jmvm` Bgimgbbrmgi, Rgmvbrsmty ad Bgimgbbrmgi hge Ubjcga`aiy bschwhr

@bjturb->;Hgh`ysms hge Ebsmig ad

Agb-why Z`hk Zystbf

(^hrt-M)

Ky< ^rad Er. Xhmshr H`m

Jmvm` Bgimgbbrmgi Ebphrtfbgt

RBU ^bschwhr www.erqhmshrh`m.jaf

8



Uapmjs Heerbssbe

Jagjrbtb D`aar Zystbfs

Hgh`ysms hge Ebsmig ad Z`hks

Khsmj Ebsmig Ztbps

Bxhfp`b< Ebsmig ad =>※ x 4>※ Ch``

[bdbrbgjbs

;






Kbhf Zuppartbe Z`hks

:



D`ht ^`htb

^ugjcmgi scbhr ms h typmjh` prak`bf mg d`ht p`htbs.

5






D`ht Z`hk

Erap ^hgb`< Ucmjo phrt ad s`hk mg tcb vmjmgmty ad jaùfgs

Jaùfg Jhpmth`< Jaùfg cbhe ad mgjrbhsbe smzb

ûgjcmgi scbhr jhg kb rbeujbe ky mgtraeujmgi erap phgb`

hge jaùfg jhpmth`

2




4

[mk


Agb-why Lamst

Lamst jagstrujtmag jagsmsts ad h faga`mtcmj jafkmghtmag ad

rbiu`hr`y sphjbe rmks hge h tap s`hk hrrhgibe ta sphg mg

agb emrbjtmag ar twa artcaiagh` emrbjtmags.





9


Uwa-why Lamst




3

Hgh`ysms

Rg`mob kbhfs hge ja`ufgs, s`hks hrb twa emfbgsmagh`

fbfkbrs. Ucbrbdarb tcbmr hgh`ysms bxjbpt agb-why s`hk

systbfs ms rb`htmvb`y emddmju`t.

Ebsmig

Agjb tcb hgh`ysms ms eagb, tcb ebsmig ms jhrrmbe aut mg tcb

usuh` fhggbr. Za ga prak`bf mg ebsmig, prak`bf ms ag`y mg

hgh`ysms ad s`hks.






=

Hgh`ysms Fbtcaes

Hgh`ysms usmgi jafputbr sadtwhrb (DBH)

ZHDB, ZH^ ;>>>, BUHKZ btj.

HJM Hppraxmfhtb Fbtcae ad Hgh`ysms

Ztrmp Fbtcae dar agb-why s`hks

Fafbgt Jabddmjmbgt Fbtcae dar twa why s`hks

Emrbjt Ebsmig Fbtcae dar twa why s`hks



8>


Agb-Yhy Kbchvmar Uwa-Yhy Kbchvmar

Agb-Yhy hge Uwa-Yhy Kbchvmar

H s`hk wcbg `ahebe mg d`bxurb fhy kbge mg agb ar katc emrbjtmags





Hgh`ysms hge Ebsmig ad

Agb-Yhy Z`hk Zystbfs

88



Dar purpasbs ad hgh`ysms hge ebsmig, h ugmt strmp ad agb why

s`hk, jut aut ht rmict hgi`bs ta tcb suppartmgi kbhfs, fhy kb

jagsmebrbe hs h rbjthgiu`hr kbhf ad ugmt wmetc, wmtc h ebptc c

hge h sphg ` h hs scawg.

8;

Ztrmp Fbtcae ad Hgh`ysms darAgb-why Z`hks





Ucb strmp fbtcae ad hgh`ysms hge ebsmig ad s`hks chvmgi

kbgemgi mg agb emrbjtmag ms hpp mjhk`b ag`y wcbg<

Z`hk ms suppartbe ag ag`y twa smebs ag stmdd kbhfs ar wh` s,

Z`hk ms suppartbe ag h` smebs ag stmdd kbhfs ar wh` s wmtc rhtma ad

`hribr ta sfh` br smeb irbhtbr tchg ;.

Gatb< Gat hpp mjhk`b ta d`ht p`htbs btj., bvbg md kbgemgi ms prmfhrm`y

mg agb emrbjtmag.

8:

Hpp`mjhkm`mty ad Ztrmp Fbtcae



Khsmj Ebsmig Ztbps

Khsmj Ztbps dar Ztrujturh` Ebsmig

Ztbp Ga. >8< Zmzbs<-Zmzbs ad h`` strujturh` hge gag strujturh`

b`bfbgts hrb ebjmebe.

Ztbp Ga. >;< @ahes<-@ahes ag strujturb hrb ebtbrfmgbe

khsbe ag ajjuphtmagh` jchrhjtbrmstmjs hge dugjtmagh`mty (rbdbr

Hppbgemx J ht tcb bge ad tcms `bjturb)

Ztbp Ga. >:< Hgh`ysms<-Bddbjt ad àhes hrb jh`ju`htbe ag h``

strujturh` b`bfbgts

Ztbp Ga. >5< Ebsmig<-Ztrujturh` b`bfbgts hrb ebsmigbe dar

tcb rbspbjtmvb àhe bddbjts da`àwmgi tcb jaeb pravmsmags.

85





Zmzbs< HJM thk`b =.2 (h) imvbs tcb fmgmfuf agb why s`hk tcmjogbss.

` 6 Zphg `bgitc, ebdmgbe ag tcb gbxt s meb.

82

Khsmj Ebsmig Ztbps

Uhk`b =.2(h) ‚ Fmgmfuf Ucmjogbss ad Gag-^rbstrbssbe Kbhfs ar Agb-Yhy Z`hks Rg`bss

Ebd`bjtmags hrb Jafputbe

Fmgmfuf tcmjogbss, c

Zmfp`y

suppartbe

Agb bge

jagtmguaus

Katc bges

jagtmguausJhgtm`bvbr

Fbfkbr Fbfkbrs gat suppartmgi ar htthjcbe ta phrtmtmags ar atcbr

jagstrujtmag `mob`y ta kb ehfhibe ky `hrib ebd`bjtmags

Za`me agb-why s`hks ` /;> ` /;5 ` /;3 ` /8>

Kbhfs ar rmkkbe agb-why

s`hks ` /84 ` /83.2 ` /;8 ` /3



Zmzbs (Ebdmgmtmag ad Zphg @bgitc, ` )

84

Z`hk

8) ` 6 ` g ? dar mgtbirh` supparts sujc hs kbhfs hge ja`ufgs wmtc ` g ≥ 8>※;) ` 6 Fmgmfuf ad _(` g +c) ar j/j emsthgjbV ? dar gag-mgtbirh supparts sujc hs wh``s

wmtc hgy emsthgjb & dar mgtbirh` supparts (kbhfs hge ja`ufgs) wmtc ` g 7 8>※

• ` (sphg `bgitc) ms usbe mg jh`ju`htmgi ebptc ad fbfkbrs.

• ` g (j`bhr sphg) ms usbe dar ebtbrfmgmgi fafbgts usmgi HJM jabddmjmbgts.

• ` j/j ms (jbgtbr ta jbgtbr emsthgjb) ms usbe dar hgh`ysms ad smfp`y suppartbe kbhf.

Yh``

`j/j `j/j

` g ` g

c

Khsmj Ebsmig Ztbps

Kbhf





@ahes<

Hjjaremgi ta HJM 3.;.; ― Zbrvmjb àhes sch`` kb mg

hjjarehgjb wmtc tcb ibgbrh` kum èmgi jaeb ad wcmjc tcms

jaeb darfs h phrt, wmtc sujc `mvb àhe rbeujtmags hs hrb

pbrfmttbe mg tcb ibgbrh` kumèmgi jaeb.

KJ^ Z -;>>9 ms Ibgbrh` Kumèmgi Jaeb ad ^homsthg hge mt

rbdbrs ta HZJB 9-8> dar fmgmfuf ebsmig àhes dar kumèmgis

hge atcbr strujturbs.

Agb why s`hks hrb usuh``y ebsmigbe dar irhvmty àhemgi(R 6 8.;E + 8.4@).

89

Khsmj Ebsmig Ztbps



Hgh`ysms<

Jchptbr 3 ad tcb HJM heerbssbs pravmsmags dar tcb hgh`ysms

hge ebsmig ad jagjrbtb fbfkbrs.

Hjjaremgi ta HJM 3.:.:, hs hg h`tbrghtb ta drhfb hgh`ysms,

HJM hppraxmfhtb fafbgts sch`` kb pbrfmttbe dar ebsmig ad

agb-why s`hks wmtc jbrthmg rbstrmjtmags, wcmjc hrb hs

da`àws<

83

Khsmj Ebsmig Ztbps





Hgh`ysms< HJM 3.:.:

8=

Rgmdarf`y emstrmkutbe àhe (@/E :)

8.;`g `g

Uwa ar farb sphgs

^rmsfhtmj

fbfkbrs

Khsmj Ebsmig Ztbps



;>

`g`g `g

Zmfp`b

suppartMgtbirh` wmtcsuppart

wu

Zphgerb`

suppart GbihtmvbFafbgt

x wu g;

8/;5 8/8>* 8/88 8/88 8/8>* >

*8/= (; sphgs)

* 8/88(ag katc dhjbs ad atcbr mgtbrmar supparts)

Jaùfg

suppart 8/84

âsmtmvb

Fafbgt

x

8/85 8/84 8/88

wu g;

Gatb< Dar smfp`y suppartbe s`hk, F 6 wu` ;/3, wcbrb ` 6 sphg `bgitc ( HJM 3.=).

Khsmj Ebsmig Ztbps

* 8/8; (dar h`` sphgs wmtc ` g 0 8> dt)





Ebsmig<

Jhphjmty Ebfhge

Jhphjmty ar Ebsmig Ztrbgitc 6 Ztrbgitc [beujtmag Dhjtar

(d) Gafmgh` Ztrbgitc

Ebfhge 6 @ahe Dhjtar Zbrvmjb @ahe Bddbjts

Khr sphjmgi (mg mgjcbs) 6 Hk/Hs Ù 8;

(Hk

6 hrbh ad khr mg mg;, Hs

6 Ebsmig stbb` mg mg;/dt)

;8

Khsmj Ebsmig Ztbps



Ebsmig<

Zcrmgohib hge Ubfpbrhturb [bmgdarjbfbgt (HJM 9.8;)<

[bmgdarjbfbgt ms p`hjbe pbrpbgemju`hr ta fhmg stbb` ta

jagtra` scrmgohib hge tbfpbrhturb jrhjomgi.

Irass Hrbh ad s hk 6 kc

k 6 8;””

c 6 tcmjogbss ad s`hk

;;

Khsmj Ebsmig Ztbps





Ebsmig<

Fhxmfuf Zphjmgi [bqumrbfbgt<

Fhmg [bmgdarjbfbgt

@bhst ad:c ar 83‖ (HJM 9.4.2)

Zcrmgohib [bmgdarjbfbgt

@bhst ad2c ar 83‖ (HJM 9.8;.;.;)

Fmgmfuf rbmgdarjbfbgt [bqumrbfbgt dar fhmg rbmgdarjbfbgt

Zhfb hs scrmgohib rbmgdarjbfbgt rbqumrbfbgt (HJM 9.8;.;.8)

;:

Khsmj Ebsmig Ztbps




Ebsmig s`hk hge kbhfs ad h =>※ Ù 4>※ Ch` . Ucb cbmict ad Ch`` ms

;>※. Jagjrbtb jafprbssmvb strbgitc (d j※) 6 : osm hge stbb` ymb`e

strbgitc (d y) 6 5> osm. Uhob :› fue `hybr hge ;› tm`b `hybr hkavb

s`hk. Uhob @@ bquh` ta 5> psd.

;5





Ztrujturh` Jagdmiurhtmags

Hssufb strujturh` jagdmiurhtmag. Uhob tmfb ta rbhjc ta h

rbhsaghk`b hrrhgibfbgt ad kbhfs, imrebrs hge ja`ufgs. Mt

ebpbges ag bxpbrmbgjb. Zbvbrh` h tbrghtmvbs hrb passmk`b.

;2




Ztrujturh` Jagdmiurhtmags

;4






Ztrujturh` jagdmiurhtmag sb`bjtbe dar tcms prak`bf

(Gatb tcht tcms ms gat tcb ag`y aptmag ar tcb kbst aptmag. Lust

sb`bjtbe ta fhob h agb-why s`hk ebsmig jhsb)

;9


83※ ※

Bge sphg Mgtbrmar sphg

=.;2※ 3.2※ 83※ ※ 83※ ※Yh`` wmetc 6 83 mg, imvbg

Hssufb kbhf wmetc 6 83 mg

8>※ 8>※

H

H

Zbjtmag H-H

K K

Zbjtmag K-K



Uhk`b =.2(h) ‚ Fmgmfuf Ucmjogbss ad Gag-^rbstrbssbe Kbhfs ar Agb-Yhy Z`hks Rg`bss

Ebd`bjtmags hrb Jafputbe

Fmgmfuf tcmjogbss, c

Zmfp`ysuppartbe

Agbbgejagtmguaus

Katc bgesjagtmguaus

Jhgtm`bvbr

Fbfkbr Fbfkbrs gat suppartmgi ar htthjcbe ta phrtmtmags ar atcbr

jagstrujtmag mob`y ta kb ehfhibe ky hrib ebd`bjtmags

Za`me agb-why s`hks ` /;> ` /;5 ` /;3 ` /8>

Kbhfs ar rmkkbe agb-why s`hks ` /84 ` /83.2 ` /;8 ` /3

Z`hk Ebsmig

Ztbp Ga >8< Zmzbs

;3

Bge sphg Mgtbrmar sphg

=.;2※ 3.2※

c 6 ` /;5 Ù (>.5+d y/8>>>>>) 6 :.9› (Fmgmfuf ky HJM dar bge sphg) _` 6 ` g 6 =.;2V

c 6 ` /;3 Ù (>.5+d y/8>>>>>) 6 ;.=› (Fmgmfuf ky HJM dar mgtbrmar sphg) _ ` 6 ` g 6 3.2 V

Uhob c 6 4›

(` 6 ` g ? dar mgtbirh` supparts sujc hs kbhfs hge ja`ufgs wmtc ` g ≥ 8>※ (s meb 84))






Z`hk Ebsmig

Ztbp Ga >;< @ahes

Dhjtarbe @ahe (wu) 6 8.;E.@ + 8.4@.@

6 8.; Ù >.8;2 + 8.4 Ù >.>5 6 >.;85 osd

;=

Uhk`b< Ebhe @ahes

Fhtbrmh` Ucmjogbss (mg) i (ojd) @ahe 6 tcmjogbss Ù i (osd)

Z`hk 4 >.82 (4/8;) Ù >.82 6 >.>92

Fue : >.8; (:/8;) Ù >.8; 6 >.>:

Um`b ; >.8; (;/8;) Ù >.8;6 >.>;

Uath` >.8;2 osd




Z`hk Ebsmig

Ztbp Ga >:< Hgh`ysms

Kbgemgi fafbgt emhirhf dar s`hk

Hssufb kbhf wmetc 6 83※※, j`bhr `bgitcs hrbh scawg mg tcb dmiurb<

:>

F 6 jabddmjmbgt Ù wu Ù ` g;






Z`hk Ebsmig

[b`htmvb Ztmddgbss ad Z`hk hge Kbhf- Z`hk Kbchvmar

:8

Farb stmdd kbhfs

@bss stmdd kbhfs

Kbhf hjtmgi mob psbuea

suppart dar s`hk

Z`hk

Yh`` (trub) suppart




KbhfEbptc vs. Kbhf Zbjtmag Fafbgt (=> x 4> Ch``)

-8.4

-8.5

-8.;

-8

->.3

->.4

->.5

->.;

>

:> 5> 2> 4> 9> 3> => 8>>

Kbhf Ebptc (Mgjcbs)

F a f b g t ( o

m p - m g / m g )

Z`hk Ebsmig

Kbhf Ebptc vs. Z`hk Ebd`bjtmag<

Z`hk fafbgt vhrmhtmag wmtc jchgib mg kbhf ebptc

:;

HJM Jabddmjmbgt Fafbgt (omp-mg/mg)

- (8/8;) -8.;=

:4.=› (HJM cfmg)

>.23 omp-mg/mg






Z`hk Ebsmig

Ztbp Ga >5< Ebsmig

Jh`ju`htb fafbgt jhphjmty pravmebe ky fmgmfuf rbmgdarjbfbgt mg s`hk<

Hsfmg 6 >.>>;kcd 6 >.>>; Ù 8; Ù 4 6 >.855 mg;/dt

ΤFg 6 ΤHsfmgd y (e-h/;) 6 >.= Ù >.855 Ù 5> Ù (2->.833/;) 6 ;2.5 mg-o/dt

Τ Fg jh`ju`htbe draf Hsfmg ms 7 h` fafbgts jh`ju`htbe mg Ztbp Ga :.

Ucbrbdarb Hs 6 Hsfmg 6 >.855 mg;/dt (#: N =.844› j/j)

Ucms wm ` waro dar katc pasmtmvb hge gbihtmvb stbb` hs Hsfmg iavbrgs.

::




Z`hk Ebsmig

Ztbp Ga >5< Ebsmig

Fhmg [bmgdarjbfbgt<

Fhxmfuf sphjmgi dar fhmg stbb rbmgdarjbfbgt mg agb why s`hk

hjjaremgi ta HJM 9.4.2 ms fmgmfuf ad<

:cd 6 : Ù 4 683›

83›

Dmgh``y usb, #: N =› j/j.

:5






Z`hk Ebsmig

Ztbp Ga >5< Ebsmig

Zcrmgohib stbb` ar tbfpbrhturb stbb` (Hst)<

Hst 6 >.>>;kcd Hst 6 >.>>; Ù 8; Ù 4 6>.855 mg;/dt

Zcrmgohib rbmgdarjbfbgt ms shfb hs fhmg rbmgdarjbfbgt, kbjhusb<

Hst 6 Hsfmg 6 >.855 mg;

Fhxmfuf sphjmgi dar tbfpbrhturb stbb` rbmgdarjbfbgt mg agb why s`hk

hjjaremgi ta HJM 9.8;.;.; ms fmgmfuf ad<

2cd

62 Ù 4 6:>› A[ 83›

Ucbrbdarb =› sphjmgi ms A.O.

:2




Z`hk Ebsmig

^`hjbfbgt ad pasmtmvb rbmgdarjbfbgt<

^asmtmvb rbmgdarjmgi khrs hrb p`hjbe mg tcb emrbjtmag ad d`bxurb strbssbshge p`hjbe ht tcb kattaf(ht tcb rbqumrbe j bhr javbr) ta fhxmfmzb tcb‐e‖, bddbjtmvb ebptc.

:4






Gbihtmvb rbmgdarjbfbgt hrb p hjbe pbrpbgemju hr ta tcb emrbjtmag ad suppart

(kbhf mg tcms jhsb).Ht tcb suppart tcbsb rbst ag tcb rbmgdarjbfbgt ad tcb kbhf.

Z`hk Ebsmig

^`hjbfbgt ad gbihtmvb rbmgdarjbfbgt<

:9


Kbhf



:3


Z`hk Ebsmig

^`hjbfbgt ad gbihtmvb rbmgdarjbfbgt<

Ht tcb dhr bge tcb jchmrs hrb pravmebe ta suppart tcb gbihtmvb rbmgdarjbfbgt. Hs bhjc khr

wm ` gbbe h sbphrhtb jchmr tcbrbdarb ta rbeujb tcb gufkbr ad jchmrs suppartmgi khrs hrb

pravmebe pbrpbgemju hr ta tcb emrbjtmag ad gbihtmvb rbmgdarjbfbgt.





Z`hk Ebsmig

[bmgdarjbfbgt ht emsjagtmguaus suppart<

Ht tcb emsjagtmguaus bge, tcb HJM jaeb rbjaffbges ta pravmeb

rbmgdarjbfbgt bquh` ta 8/: tmfbs tcb pasmtmvb rbmgdarjbfbgt pravmebe ht

tcb fme sphg. Hs tcms rbmgdarjbfbgt ibgbrh``y ymb`es `hrib sphjmgi, mt ms

h jaffagdmb`e prhjtmjb ta pravmeb #: ht 83‖ j/j.

:=




Z`hk Ebsmig

Ztbp Ga >2< Erhdtmgi

Fhmg rbmgdarjbfbgt 6 #: N =› j/j (pasmtmvb & gbihtmvb)

Zcrmgohib rbmgdarjbfbgt 6 #: N =› j/j

Zuppartmgi khrs 6 #: N 83› j/j

5>

Zuppartmgi khrs


Jchmrs ar suppartmgi khrs





Kbhf Ebsmig

Ztbp Ga >8< Zmzbs

Fmgmfuf tcmjogbss ad kbhf (smfp y suppartbe) 6 cfmg 6 ` /84

` 6 j`bhr sphg (` g) + ebptc ad fbfkbr (kbhf) ≥ j/j emsthgjb kbtwbbg supparts

@bt ebptc ad kbhf 6 2※

` g + ebptc ad kbhf 6 4>※ + 2※ 6 42※

j/j emsthgjb kbtwbbg kbhf supparts 6 4> + ; Ù (=/8;) 6 48.2※

Ucbrbdarb ` 6 48.2※

Ebptc (c) 6 (48.2/84)Ù(>.5+d y/8>>>>>)Ù8;6 :4.=› (Fmgmfuf ky HJM =.2.;.;).

Uhob c 6 2※ 6 4>›

e 6 c ‚ : 6 29›

kw 6 83› (hssufbe)

58




Kbhf Ebsmig

Ztbp Ga >;< @ahes

@aheag kbhf wm ` kbbquh` ta

Dhjtarbe àhe ag kbhf draf s`hk +

dhjtarbe sb`d wbmict ad kbhf wbk

Dhjtarbe àhe ags`hk 6 >. ;85 osd

@ahe ag kbhf draf s`hk 6 >. ;85 osd x 8>

6 ;.85 o/dt

Dhjtarbe Zb`d àhe ad kbhf wbk 6

6 8.; x (25 Ù 83/855) Ù >.82 68.;82 o/dt

Uath` àhe ag kbhf 6 ;.85 + 8.;82 6

:.:22 o/dt

5;


8>※

83 ※※ (hssufbe)

25 ※※

4 ※※ 8> ※

HH

Zbjtmag H-H





Kbhf Ebsmig

Ztbp Ga >:< Hgh`ysms

Tu 6 35.98 omp

Fu 6 8=>:5 mg-omp

5:

:>.92※




Kbhf Ebsmig

Ztbp Ga >5< Ebsmig

Ebsmig dar d`bxurb

Ztbp (h)< Hjjaremgi ta HJM 3.8;, kbdd dar U-kbhf ms fmgmfuf ad<

84cd + kw 6 84 Ù 4 + 83 6885›

(j/j sphg ad kbhf)/5 6(48.2※/5) Ù 8; 6835.2›

j/j sphjmgi kbtwbbg kbhfs 68>※ Ù 8; 68;>›

Za kbdd 6 885›

55






Kbhf Ebsmig

Ztbp Ga >5< Ebsmig

Ebsmig dar d`bxurb

Ztbp (k)< Jcbjo md kbhf ms ta kb ebsmigbe hs rbjthgiu`hr kbhf ar U-kbhf.

Hssufb h 6 cd 6 4› hge jh`ju`htb Hs<

Hs 6Fu/ {Τd y (e‚h/;)} 68=>:5/ {>.= Ù 5> Ù (29‚4/;)} 6 =.9= mg;

[b-jh`ju`htb ‐h‖<

h 6Hsd y/ (>.32d j※kbdd ) 6=.9= Ù 5>/ (>.32 Ù : Ù 885) 6 8.:5› 0 cd

Ucbrbdarb ebsmig kbhf hs rbjthgiu`hr kbhf.

Hdtbr trmh`s Hs 6 =.:3 mg; {Hsfhx 6 ;>.3: mg; ?Hsfmg 6 2.8: mg;}

Ucbrbdarb Hs 6 =.:3 mg; {8; #3 khrs}

52




Kbhf Ebsmig

Ztbp Ga >5< Ebsmig

Zomg [bmgdarjbfbgt < HJM 8>.4.9

Hs tcb bddbjtmvb ebptc e ad h kbhf ms irbhtbr tchg :4 mgjcbs,

`agimtuemgh` somg rbmgdarjbfbgt ms rbqumrbe hs pbr HJM 8>.4.9.

Hsomg, 6 Fhmg d`bxurh` rbmgdarjbfbgt/; 6 =.4>/; 6 5.3 mg;

[hgib up ta wcmjc somg rbmgdarjbfbgt ms pravmebe<

e/; 6 24.4;2/; 6 ;3.:8;2›

54






Kbhf Ebsmig

Ztbp Ga >5< Ebsmig

Zomg [bmgdarjbfbgt

Dar #3 khr usbe mg somg rbmgdarjbfbgt, sso (somg rbmgdarjbfbgt sphjmgi)

ms `bhst ad<

e/4 6 24.4;2/4 6 =.55›, 8;›, ar

8>>> Hk/(e ‚ :>) 6 8>>>Ù>.3>/(24.4;2 ‚ :>) 6 :>.>2›

Ucbrbdarb sso 6 =.55› ≃ =›

Ymtc tcms sphjmgi, : khrs ag bhjc dhjb hrb rbqumrbe. Hge dar # 3 khr, tcbtath` hrbh ad somg rbmgdarjbfbgt ms<

Hsomg 6 4 Ù >.3> 6 5.3 mg;

59


Zomg

[bmgdarjbfbgt



Kbhf Ebsmig

Ztbp Ga >5< Ebsmig

Ebsmig dar Zcbhr

Tu 6 35.98 omp

ΤTj 6 Τ; d※kwe 6 (>.92 Ù ; Ù :>>> Ù 83 Ù 29)/8>>> 6 35.;= omp

ΤTj 0 Tu {Zcbhr rbmgdarjbfbgt ms rbqumrbe}

se 6 ΤHvd ye/(Tu ‚ ΤTj)

Rsmgi #:, ; `biibe stmrrups wmtc Hv 6 >.88 Ù ; 6>.;; mg;}

se 6 >.92 Ù >.;; Ù 5> Ù 29/(35.98 ‚ 35.;=) 6 3=2›

53






Kbhf Ebsmig

Ztbp Ga >5< Ebsmig

Ebsmig dar Zcbhr

Fhxmfuf sphjmgi hge fmgmfuf rbmgdarjbfbgt rbqumrbfbgt hs

pbrfmttbe ky HJM 88.5.2 hge 88.5.4 sch` kb fmgmfuf ad<

Hvd y/(2>kw) 6>.;; Ù 5>>>>/(2>Ù 83) ≃ =.2›

e/; 629/; 6;3.2›

;5›

Hvd y/ >.92 d※ kw 6 >.;; Ù 5>>>>/ {(>.92 Ù :>>> Ù 83} 6 88.=>›

Ucbrbdarb, sfhx 6 =.2›

5=




Kbhf Ebsmig

Ztbp Ga >5< Ebsmig

Ebsmig dar Zcbhr

ΤTj /; 6 35.;=/; 6 5;.82 omps ht h emsthgjb ad 89.2 dt draf dhjb ad tcb

suppart. Ucbrbdarb ga rbmgdarjbfgt ms rbqumrbe mg tcms zagb, cawbvbr,

wb wm ` pravmeb #:, ;- biibe vbrtmjh` stmrrups ht 8; mg. j/j

2>






Kbhf Ebsmig

Ztbp Ga >5< Ebsmig

Ebsmig dar Zcbhr

Atcbr jcbjos<

Jcbjo dar ebptc ad kbhf<

ΤTs ≥ Τ3 ※ kwe (HJM 88.5.9.=)

Τ3 d※ kwe 6 >.92 Ù 3 Ù :>>> Ù 83 Ù 29/8>>> 6 ::9.83 o

ΤTs 6 (ΤHvd ye)/se

6 (>.92 Ù >.;; Ù 5> Ù 29)/=.2 6 :=.4 o 0 ::9.83 o, A.O.

Za ebptc ms A.O. Md gat, mgjrbhsb ebptc ad kbhf.

28




Kbhf Ebsmig

Ztbp Ga >5< Ebsmig

Ebsmig dar Zcbhr

Atcbr jcbjos<

Jcbjo md ‐ΤTs ≥ Τ5 ※ kwe‖ {HJM 88.5.2.:}<

Md ‐ΤTs ≥ Τ5 d※ kwe‖, tcb fhxmfuf sphjmgi (sfhx) ms A.O.

Atcbrwmsb rbeujb sphjmgi ky agb ch`d.

Τ5 d※ kwe 6 >.92 Ù 5 Ù :>>> Ù 83 Ù 29/8>>>6 843.23 o

ΤTs 6 (ΤHvd ye)/se

6 (>.92 Ù >.;; Ù 5> Ù 29)/=.2 6 :=.4 o 0 843.23 o, A.O.

2;






Kbhf Ebsmig

Ztbp Ga >2< Ebthm`mgi

2:




25


Mg tcms ebsmig bxhfp`b, tcb kbhfs wbrb suppartbe ag wh``s.

Ucms whs eagb ta smfp mdy hgh`ysms.

Dar prhjtmjh` rbhsags, cawbvbr, tcb kbhfs fust kb suppartbe

ag ja`ufgs hge cbgjb tcb strujturh` hgh`ysms wm` ` kb tcht ad h

drhfb rhtcbr tchg smfp`y suppartbe kbhf.

Mg tcb suksbqubgt s`mebs, tcb hgh`ysms hge ebsmig rbsu`ts dar

kbhfs suppartbe ag ja`ufgs chvb kbbg pravmebe.





22


Drhfb Hgh`ysms

:E faeb` ad tcb ch`` scawmgi kbhfs suppartbe ag ja`ufgs.



Drhfb Hgh`ysms

H ;E dhfb jhg kb ebthjcbe draf h :E systbf mg tcb

da` awmgi fhggbr<

24


48.2※

;>※

Yu 6 :.:22 o/dt

Ja`ufg smzb 6 83 Ù 83





Drhfb Hgh`ysms

Thrmaus fbtcaes jhg kb usbe dar drhfb hgh`ysms. Rsmgi

fafbgt emstrmkutmag fbtcae tcb da``awmgi rbsu`ts jhg kb

akthmgbe<

29


;>※

Hgh`ysms

[bsu`tsFu (+vb) 6 894;9 mg-omps

Fu (-vb)

Fu (+vb)

Fu (-vb) 6 85>9 mg-omps

48.2※

Yu 6 :.:22 o/dt

Ja`ufg smzb 6 83 Ù 83



23


Z`hk Ebsmig

Z`hk ebsmig wm` rbfhmg tcb shfb hs mg jhsb ad kbhfs suppartbe ag

wh``s.

Fhmg rbmgdarjbfbgt 6 #: N =› j/j (pasmtmvb & gbihtmvb)

Zcrmgohib rbmgdarjbfbgt 6 #: N =› j/j

Zuppartmgi khrs 6 #: N 83› j/j





2=


Kbhf Ebsmig

Kbhf ebsmig wm ` kb hs da``aws<

Fu (+vb) 6 894;9 mg-omps

Fu (-vb) 6 85>9 mg-omps

Hs (+vb) 6 3.43 mg;

Rsb 4 #3 mg 8st `hybr & ; #3 + 5 #9 khrs mg ;ge `hybr)

Hs 6 (3)(>.3>) + (5)(>.4>) 6 3.3> mg; (Hs,fhx 6 >.>;>:ke 6 ;>.3: mg; AO)

Hs (-vb) 6 >.4= mg; (Hs,fmg 6 >.>>2ke 6 2.8: mg;, s a Hs,fmg iavbrgs)

Rsb 9 #3 khrs(2 khrsmg 8st

`hybr hge; khrsmg ;ge

`hybr

Hs 6 (9)(>.3>) 6 2.4>mg;



4>


^ u 6 8>:.89 o

F u 6 85>9 mg-o

^ u F u

Ja`ufg Ebsmig





Jaùfg Ebsmig< Rsmgi HJM Ebsmig Hmes

Fhmg [bmgdarjbfbgt Ebsmig

Zmzb<

83 mg. Ù 83 mg.

@ahes<

^ u 6 8>:.89 omps

F u 6 85>9 mg-omps

Jh`ju`htb tcb rhtma i , dar ;.2 mg. javbr (j)< i 6 ( c ‚ ; j ) / c

6 (83 ‚ 2)/83 6 >.9;

Jh`ju`htb O g, O g 6 ^ u/(Ód※ j Hi) 6 8>:.89/(>.42 Ù : Ù :;5) 6 >.84

Jh`ju`htb [ g, [ g 6 F u/(Ód※ j Hic) 6 85>9/(>.42 Ù : Ù :;5 Ù 83) 6 >.8;

48

d※ j 6 : osm, d y 6 4> osm

83※※

83※※

ic

j




4;


Ztrbgitc Mgtbrhjtmag Emhirhf (HJM Ebsmig Chgekaao)

Jaùfg Ebsmig

Fhmg [bmgdarjbfbgt Ebsmig

Dar imvbg fhtbrmh` strbgitc,

tcb jaùfg strbgitc

mgtbrhjtmag emhirhf imvbs tcb

da`àwmgi rbmgdarjbfbgt rhtma<

r 6 >.>8

Hst 6 >.>8 Ù :;5 6 :.;5 mg.;

Rsmgi 3 #4 khrs





Jaùfg Ebsmig

Umb Khrs<

Rsmgi :/3› Τ (#:) t mb khrsdar :/5› Τ (#4) fhmgkhrs ( HJM 9.8>.2),

Zphjmgi dar Umb khrs hjjaremgi ta HJM 9.8>.2.8 ms fmgmfuf ad<

84 Ù emh ad fhmg khr 684 Ù :/5 68;› j/j

53 Ù emh ad tmb khr 6 53 Ù (:/3) 683› j/j

@bhst jaùfg emfbgsmag 683› j/j

Dmgh``y usb #:, tmb khrs N =› j/j

4:




Jaùfg Ebsmig

Erhdtmgi

45






42

Fhmg

[bmgdarjbfbgt


Daatmgi Ebsmig

Msa`htbe jaùfg daatmgi? squhrb ar rbjthgiu`hr



44


Daatmgi Ebsmig

Ehth Imvbg<

Jaùfg smzb 6 83› Ù 83›

d j※ 6: osm

d y 6 5> osm

qh 6 ;.;>5 o/dt;

Dhjtarbe àhe ag jaùfg 6 8>:.89 omps ([bhjtmag ht tcb

suppart)

Zbrvmjb àhe ag ja ufg 6 38.39 omps ([bhjtmag ht tcb suppart

eub ta sbrvmjb àhe)





49


Daatmgi Ebsmig

Zmzbs<

Hssufb c 6 82 mg.

ehvi 6 c ‚ j`bhr javbr ‚ agb khr emh

6 82 ‚ : ‚ 8(dar #3 khr) 6 88 mg.

Hssufb ebptc ad tcb khsb ad daatmgi draf irauge `bvb` (z) 6 2※

Ybmict ad dm ` hge jagjrbtb daatmgi, Y6 κdm``(z - c) + κjc

68>> Ù (2 ‚ 8.;2) +82> Ù (8.;2) 6 24;2psd 6 >.24;2osd



Daatmgi Ebsmig

Zmzbs<

Bddbjtmvb kbhrmgi jhphjmty, qb 6 qh ‚ Y

6 ;.;>5 ‚ >.24;2 6 8.45; osd

Kbhrmgi hrbh, Hrbq 6 Zbrvmjb @ahe/ qb

6 38.39/8.45; 6 5=.34 dt;

Hrbq 6 K x K 6 5=.34 dt; 67 K 6 9 dt.

Jrmtmjh` ^brmfbtbr, ka 6 5 x (j + ehvi)

6 5 Ù (83 + 88) 6884 mg

43

K 6 9※

j 6 83›

ehvi + j

ehvi / ; 688/; 6 2.2※

K 6 9※ehvi + j






4=


Daatmgi Ebsmig

@ahes<

qu (kbhrmgi prbssurb dar strbgitc ebsmig ad daatmgi)<

qu 6 dhjtarbe `ahe ag ja ufg / Hrbq 6 8>:.89 / (9 Ù 9) 6 ;.8>2 osd



9>


K K

Daatmgi Ebsmig

Hgh`ysms<

^ugjcmgi scbhr<

Tup 6 quK; ‚ qu( j + ehvi)

;

Tup 6 ;.8>2 Ù 9; ‚;.8>2 Ù {(83+88)/8;)} ;

6 =>.32 omp





Daatmgi Ebsmig

Hgh`ysms<

D`bxurh` Hgh`ysms<

Fu 6 quKo;/;

o 6 (K ‚ j)/; 6 (9 x 8; ‚83)/;

6 :: mg 6 ;.92µ

Fu 6 ;.8>2 Ù 9 Ù ;.92 Ù ;.92/;

6 22.9; dt-o

6 443.4> mg-omp

98


Jrmtmjh` Zbjtmag

K K

ququ



Daatmgi Ebsmig

Ebsmig<

Ebsmig dar ^ugjcmgi Zcbhr<

Tup 6 =>.32 omp

^ugjcmgi scbhr jhphjmty (ΤTjp)

6 Τ5 d ※ kaehvi

6 >.92 Ù 5 Ù :>>> Ù 884 Ù 88/8>>>

6 ;>=.44 o 7Tup, A.O

9;


ehvi

ka





9:


Daatmgi Ebsmig

Ebsmig<

Ebsmig dar D`bxurb<

Fu 6 443.4> omp-mg

h 6 >.;ehvi 6 >.; Ù 88 6 ;.;›

Hs 6 Fu/ {Τd y(ehvi ‚ h/;)} 6 443.4>/ {>.= Ù 5> Ù (88 ‚ ;.;/;)} 6 8.39mg;

h 6 Hsd y/ (>.32d j※K) 6 8.3: Ù 5>/ (>.32 Ù : Ù 9 Ù 8;) 6 >.:2›

Hdtbr trmh`s, Hs 6 8.98 mg; (Hsfmg 6 >.>>2Kehvi 6 5.4; mg; sa Hsfmg

iavbrgs)

Gaw, tcb sphjmgi jhg kb jh`ju`htbe hs da``aws<

Gbxt Z`meb



Daatmgi Ebsmig

Ebsmig<

Ebsmig dar D`bxurb<

Rsmgi #3 khrs< Ga. ad khrs 6 5.4;/>.9= ≃ 4 khrs.

Zphjmgi 6 4.2 Ù 8; / 2 6 82 mg. j/j

Cbgjb 4 khrs jhg kb pravmebe mg tcb daugehtmagmd tcby hrb p`hjbe 82 mg. j/j (Fhx. sphjmgi

scau`e gat bxjbbe :c ar 83 mg.)

95


Fhmg

[bmgdarjbfbgt

9

9 - j`bhr javbr(:+:) 6 4.2





92


Erhdtmgi



Hjtuh` pmjturbs ad h ch`` ad h`fast tcb shfb smzb mg ^bschwhr

Rgmvbrsmty<

94


Z`hk [bmgdarjbfbgt Kbhf [bmgdarjbfbgt





Hjtuh` pmjturbs ad h ch`` ad h`fast tcb shfb smzb mg ^bschwhr

Rgmvbrsmty<

99


Zomg [bmgdarjbfbgt Ch`` Hdtbr Jafp`btmagJurthm`be Khrs



^mjturbs ad Ja`ufg

93






Jhsb Ztuembs

Mg tcb suksbqubgt s`mebs twa jhsb stuembs hrb jhrrmbe aut ta

mgvbstmihtb tcb vhrmhtmag ad fafbgts mg kbhfs, fafbgts hge s hk

tcmjogbss eub ta jchgib mg sphjmgi kbtwbbg tcb kbhfs.

9=


Zphjmgi Kbtwbbg Kbhfs



Jhsb Ztuey >8< Thrmhtmag ad Z`hk Ucmjogbss hge Fafbgts Ts

Zphjmgi Kbtwbbg tcb Kbhfs

Gatb< j`bhr `bgitc (` g) chvb kbbg usbe mg ebtbrfmgmgi fafbgts.

3>


Thrmhtmag ad Z`hk tcmjogbss hge Fafbgts Ts Zphjmgi Kbtwbbg Kbhfs

Zphjmgi Kbtwbbg tcb Kbhfs (dt)

8> 8; 85 84 83 ;>

Z`hk Ucmjogbss (mg.)5.>

(Rsmgi 4)

5.3

(Rsmgi 4)

2.4

(Rsmgi 4)

4.5

(Rsmgi 9)

9.;

(Rsmgi 3)

3.>

(Rsmgi 3)

Fhx Fafbgt mg Z`hk (mg-omp) (8/88 jabddmjmbgt)

8=.=9 ;=.22 5>.== 23.8> 9=.;8 =3.45

Hrbh ad stbb` (mg.;)

(dar Irheb 5> Ztbb`)>.855 >.89 >.;5 >.;3 >.:; >.58

j/j sphjmgi ad #: fhmg

khrs (mg)= 9 2 5 5 :







38


>

;

5

4

3

8>

> 2 8> 82 ;> ;2

Z ` h k U c m j o g b s s ( m g . )

Zphjmgi Kbtwbbg Kbhfs (dt)





3;


>

;>

5>

4>

3>

8>>

8;>

> 2 8> 82 ;> ;2

F h x .

F a f b g t ( m g - o m p )






3:


Thrmhtmag ad Fafbgts Ts Zphjmgi Kbtwbbg Kbhfs


2 3 8> 8; 85

Fu (+vb)(mg-omp) 8;>>9 82:3> 894;9 8=399 ;;8;4

Fu (-vb) (mg-omp) =29 8;;4 85>9 8232 8945

Hs (+vb) (mg;) 2.=> 9.24 3.43 =.3> 8>.=:

Fu (-vb)

Fu (+vb)

Jhsb Ztuey >;< Thrmhtmag ad Fafbgts mg Kbhf Ts Zphjmgi

Kbtwbbg Kbhfs

Gatb<

j/j `bgitc (` j/j 6 48.2※ ) chs kbbg usbe mg ebtbrfmgmgi fafbgts.

Hgh`ysms eagb usmgi fafbgt emstrmkutmag fbtcae.



35

>

2>>>

8>>>>

82>>>

;>>>>

;2>>>

> ; 5 4 3 8> 8; 85 84

F a f b g t h t F m e s p h g ( m g - o m p )

Zphjmgi Kbtwbbg Kbhfs (dt)


• Jhsb Ztuey >;< Thrmhtmag ad Fafbgts mg Kbhf Ts Zphjmgi

Kbtwbbg Kbhfs





Jagj`usmags

8. Z`hk tcmjogbss mgjrbhsbs ky mgjrbhsmgi tcb sphjmgi

kbtwbbg tcb kbhfs.

;. Fafbgts mg s`hk mgjrbhsbs ky mgjrbhsmgi tcb sphjmgi

kbtwbbg tcb kbhfs.

:. Fafbgts mg kbhfs mgjrbhsbs ky mgjrbhsmgi sphjmgi

kbtwbbg tcb kbhfs.

32




34

Hppbgemx J

FMGMFRF EBZMIG @AHEZ





Ucb Bge

3=

l 02 analysis and design of one way slab system sep 2015

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