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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
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Ileturl->8
Gogiysms goh Hlsm`o 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
\LX lsbgwgr
www.hrqgmsgrgim.edf
7
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Xdpmes
Jlbgvmdr
Fdflot Edlccmemlot Fltbdh
Utlps mo Fdflot Edlccmemlot Fltbdh
Hlsm o Lxgfpil 7 (Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
Hlsm o Lxgfpil : (7>>› Ð 3>› , 5-Utdrly Edfflremgi Jumihmo )
^rgetmel Lxgfpils
Zlclrloels
:
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 2/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Xwd-Pgy Uigj Uystlf (Ido` spgo/sbdrt spgo 9 :)
5
:<› :<› :<› :<›
:>›
:>›
:>›
Jlbgvmdr
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
8
Dol-Pgy Jlbgvmdr Xwd-Pgy Jlbgvmdr
Jlbgvmdr
Xwd-Pgy Jlohmo` dc Xwd-Pgy Uigjs
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 3/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
<
Jlbgvmdr
Xwd-Pgy Jlohmo` dc Xwd-Pgy Uigjs
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
3
Ubdrt
Hmrletmdo
Jlbgvmdr
Ubdrt Hmrletmdo Fdflots mo Xwd-Pgy Uigj
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 4/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
0
Ido`
Hmrletmdo
Jlbgvmdr
Ido` Hmrletmdo Fdflots mo Xwd-Pgy Uigj
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
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 5/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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.
=
Fdflot Edlccmemlot Fltbdh
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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,ol`i j
i g
Fg,ol`
Fg,pdsFj,ol` Fj,ol`Fj,pds
Fdflot Edlccmemlot Fltbdh
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 6/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Egsls
Hlplohmo` do tbl suppdrt edohmtmdos, slvlrgi egsls grl pdssmjil;
77
Fdflot Edlccmemlot Fltbdh
8 spgos N :<›->‵
5 s p g o s N : > › - > ‵
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
7:
Fdflot Edlccmemlot Fltbdh
Egsls
Hlplohmo` do tbl suppdrt edohmtmdos, slvlrgi egsls grl pdssmjil;
8 spgos N :<›->‵
5 s p g o s N : > › - > ‵
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 7/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
75
Fdflot Edlccmemlot Fltbdh
Egsls
Hlplohmo` do tbl suppdrt edohmtmdos, slvlrgi egsls grl pdssmjil;
8 spgos N :<›->‵
5 s p g o s N : > › - > ‵
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
78
Fdflot Edlccmemlot Fltbdh
Egsls
Hlplohmo` do tbl suppdrt edohmtmdos, slvlrgi egsls grl pdssmjil;
8 spgos N :<›->‵
5 s p g o s N : > › - > ‵
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 8/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
7<
Fdflot Edlccmemlot Fltbdh
Odtl; Bdrmzdotgi smhls dc tbl cm url rlprlslots ido`lr smhl wbm il vlrtmegi smhl
rlprlslots sbdrtlr smhl.
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
73
Fdflot Edlccmemlot Fltbdh
Odtl; Bdrmzdotgi smhls dc tbl cm url rlprlslots ido`lr smhl wbm il vlrtmegi smhl
rlprlslots sbdrtlr smhl.
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 9/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
70
Fdflot Edlccmemlot Fltbdh
Odtl; Bdrmzdotgi smhls dc tbl cm url rlprlslots ido`lr smhl wbm il vlrtmegi smhl
rlprlslots sbdrtlr smhl.
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
72
Fdflot Edlccmemlot Fltbdh
Odtl; Bdrmzdotgi smhls dc tbl cm url rlprlslots ido`lr smhl wbm il vlrtmegi smhl
rlprlslots sbdrtlr smhl.
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 10/63
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 11/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
:7
Fdflot Edlccmemlot Fltbdh
Odtl; Bdrmzdotgi smhls dc tbl cm url rlprlslots ido`lr smhl wbm il vlrtmegi smhl
rlprlslots sbdrtlr smhl.
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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 hlsm`o
Gppiy rlmocdrelflot rlqumrlflots (sfgx 6 :bc , GEM 75.5.:)
::
Utlps mo Fdflot Edlccmemlot Fltbdh
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 12/63
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 13/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
:<
Hlsm`o 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
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
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 14/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
73' R 7:' 73' R 7:'
=' Pmhl Slrgohgb
J7J7
ZEE Ediufo
=" jrmea fgsdory wgii
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
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 15/63
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 16/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
Fj,pds
F g , p d s
F g , o l `
Fj,ol`
Fj,pds
F g , o l `
F g , p d s
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
5:
73›
7:›
Fj,ol`Fj,pds
F g , p d s
Egsl 8
F g , o l `
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 17/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
55
73›
7:›
Fj,ol`Fj,pds
F g , p d s
Egsl 8
F g , o l `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Xwd-Pgy Uigj Gogiysms
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
58
73›
7:›
Fj,ol`Fj,pds
F g , p d s
Egsl 8
F g , o l `
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 18/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Xwd-Pgy Uigj Gogiysms
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
5<
73›
7:›
Fj,ol`Fj,pds
F g , p d s
Egsl 8
F g , o l `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Xwd-Pgy Uigj Gogiysms
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
53
73›
7:›
Fj,ol`Fj,pds
F g , p d s
Egsl 8
F g , o l `
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 19/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Xwd-Pgy Uigj Gogiysms
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
50
73›
7:›
Fj,ol`Fj,pds
F g , p d s
Egsl 8
F g , o l `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
52
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
Xwd-Pgy Uigj Gogiysms
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 `
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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=
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
F v l r ( + v l ) F
v l r ( - v l )
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
8>
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
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
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
85
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
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 `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
88
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
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.
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
8<
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
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
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
83
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
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
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
80
Slrgohgb Jlgf Hlsm`o
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 :‵
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
Slrgohgb Jlgf
73.50< 73.50<
i o 6 73.50< ― >.<(7:/7:) 6 7<.20< i o 6 73.50< ― >.<(7:/7:) 6 7<.20<
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
82
Slrgohgb Jlgf Hlsm`o
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
<›
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
i o 6 2›
=‵ Jrmea Pgii
2/: 6 8›
7:‵Ediufo
8› + 7› 6 <›
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
8=
Slrgohgb Jlgf
Hlsm`o
Utlp >5; Gogiysms
\smo` GEM Fdflot
Edlccmemlots cdr gogiysms
dc vlrgohgb jlgf
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
73.50<
i o 6 73.50< ― >.<(7:/7:) 6 7<.20< i o 6 73.50< ― >.<(7:/7:) 6 7<.20< 73.50<
73.50<
i o 6 7<.20< i o 6 7<.20<
=.=: a
77.87 a
Su(lxt) 6 2.58 a
Su(mot) 6 =.37 a
585.33 mo-amp 585.33 mo-amp
8:>.>5 mo-amp
Slrlohg jlgf ms i jlgf,
jl
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Jlgf Hlsm`o
Cilxurl Hlsm`o;
Ublgr Hlsm`o;
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<‵
<>
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
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.<‵
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
<7
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
Ediufo Hlsm`o
Umzls;
Ediufo smzl 6 7:‵ Ð 7:‵
Idghs;
^u 6 77.87 Ð : 6 ::.2: amp
Slrgohgb Ediufo
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
<:
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
Ediufo Hlsm`o
Fgmo Zlmocdrelflot Hlsm o;
Odfmogi strlo`tb (Σ^o) dc gxmgiiy idghlh ediufo ms;
Σ^o 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)
Σ^o 6 >.2> Ð >.3< Ð {>.2< Ð 5 Ð (788 ― >.>7 Ð 788) + >.>7 Ð 788 Ð 8>}
6 :72.=2 amp ? ^u 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
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
<<
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
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
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
<3
Hlsm`o Lxgfpil 7(Xypmegi Bdusl wmtb : Zddfs goh Slrgohgb)
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
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
@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
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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 >.>:>
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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`
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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 >.>:>
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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`
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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 >.>:>
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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`
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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 >.>:>
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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`
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 33/63
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 34/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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 `
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
30
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
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 35/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
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 36/63
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 37/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
05
Xwd-Pgy Uigj Gogiysms (^goli-MM)
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 >.>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)
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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 `
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
08
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 38/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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=
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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=
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
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 39/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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=
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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=
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
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 40/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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=
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
2>
Xwd-Pgy Uigj Gogiysms (^goli-MMM)
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 >.><< Ej,ol` 6 >.>87
Eg,pdsII 6 >.>88 Ej,pdsII 6 >.>7=
Eg,pdsHI 6 >.>5: Ej,pdsHI 6 >.>7<
wu, hi 6 >.7>< asc, wu, i i 6 >.:5>8 asc , wu 6 >.553 asc
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)
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
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 41/63
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 42/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
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 43/63
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 44/63
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
20
Xwd-Pgy Uigj Gogiysms (^goli-MS)
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 >.>3< Ej,ol` 6 >.>:0
Eg,pdsII 6 >.>87 Ej,pdsII 6 >.>70
Eg,pdsHI 6 >.>:3 Ej,pdsHI 6 >.>77
wu, hi 6 >.7>< asc, wu, i i 6 >.:5>8 asc , wu 6 >.553 asc
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)
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 `
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
22
Gogiysms Zlsuits (Gii vgiuls grl mo ct-amp)
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
2=
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
Uigj Hlsm`o
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
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
=>
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
Uigj Hlsm`o
^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.
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
=7
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
Uigj Hlsm`o
^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.
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
=:
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
Uigj Hlsm`o
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
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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 : > › - > ‵
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
ODXL; Pbmtl; Ido`lr Hmrletmdo Fdflots, ]liidw; Ubdrtlr Hmrletmdo Fdflots
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
=3
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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 /:
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
=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
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
=2
Idgh trgosclr crdf Uigj td Jlgf
Idgh Xrgosclr td Jlgf crdf Xwd-Pgy Uigj
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
U b dr t lr Hm r l e t m do
: > ›
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
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
==
Idgh trgosclr crdf Uigj td Jlgf
Idgh Xrgosclr td Jlgf crdf Xwd-Pgy Uigj
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
U b dr t lr Hm r l e t m do
: > ›
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<
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
Fdflot Edlccmemlot Fltbdh; Lxgfpil :
Idgh Do Jlgfs crdf edlccmemlot tgjils
J7
J7
J:
J:
J5 J5 J5 J8J8
^goli MM
8 spgos N :<›->‵
5 s p g o s N : > › - > ‵
7>5
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
^goli MM
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Fdflot Edlccmemlot Fltbdh; Lxgfpil :
Idgh Do Jlgfs crdf edlccmemlot tgjils
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=
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
^goli MMM
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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=
Fdflot Edlccmemlot Fltbdh; Lxgfpil :
Idgh Do Jlgfs crdf edlccmemlot tgjils
J7
J7
J:
J:
J5 J5 J5 J8J8
^goli MMM
8 spgos N :<›->‵
5 s p g o s N : > › - > ‵
7><
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
^goli MMM
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Fdflot Edlccmemlot Fltbdh; Lxgfpil :
Idgh Do Jlgfs crdf edlccmemlot tgjils
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.::
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
^goli MS
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Gogiysms dc Jlgfs
Motlrmdr Jlgf J7
775
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Gogiysms dc Jlgfs
Lxtlrmdr Jlgf J:
778
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Gogiysms dc Jlgfs
Motlrmdr Jlgf J5
77<
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Gogiysms dc Jlgfs
Lxtlrmdr Jlgf J8
773
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
7 .8 < a / c t
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
770
^meturls dc g Fuitm Utdrly
Edfflremgi Jumihmo`
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
772
^meturls dc g Fuitm Utdrly
Edfflremgi Jumihmo`
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Hmcclrlot Utg`ls dc Jumihmo` Edostruetmdo
77=
^bgsls dc Edostruetmdo
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
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
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
Xbl Loh
7:5
^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
7:8
7/23/2019 L-04 Analysis and Design of Two-way Slab With Beams (Coloured)
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^rdc. Hr. Wgmsgr Gim Zlmocdrelh Edoerltl Hlsm`o ― MM
Hlpgrtflot dc Emvmi Lo`mollrmo`, \omvlrsmty dc Lo`mollrmo` goh Xlebodid`y ^lsbgwgr
7:<
Gogiysms Zlsuits (Gii vgiuls grl mo ct-amp)
Hlsm`o Lxgfpil :(7>>› Ð 3>›, 5-Utdrly Edfflremgi Jumihmo`)
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