l 03 analysis and design of one way slab system part ii dec 2014
TRANSCRIPT
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
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Jmjfyshs jmi I`shnm ed Em`-
wjy _fjk _yst`a
(Wjrt HH)
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
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7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
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I`shnm Wrekf`a
I`shnm sfjk, k`jas, nhri`r, oefuams jmi deethmns ed j 87※ Þ 47※
Cjff. Ahmhaua ekstruothem te aekhfhty hmshi` tc` Cjff r`quhr`s
tcjt emfy twe oefuams ojm k` jffew`i hmshi` tc` Cjff. C`hnct ed
tc` cjff hs ;7※.
Oemor t` oeapr`sshv` str`mntc (d o※) 1 ? bsh.
_t f yh fi str`mntc (d y) 1 97 bsh.
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
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:3‿ Þ :3‿(jssua`i)
(:3‿ wjff
k`ojus` cjff
hs ;7※ chnc).
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7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
_fjk I`shnm
_t p Me. 7:< _hz s
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f 1 f m 1 8.0※ f 1 f m 1 8※
I`shnm Wrekf`a
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
_fjk I`shnm
_t p Me. 7:< _hz s
c 1 f /;9 Þ (7.9+d y/:77777) 1 ?.3‿ (Ahmhaua ky JOH der `mi spjm) Rf 1 8.0Q
c 1 f /;3 Þ (7.9+d y/:77777) 1 ?‿ (Ahmhaua ky JOH der hmt`rher spjm) Rf 1 8Q
@mi spjm nev rms. Dhmjffy tjb` jssua`i c 1 4‿.
@dd`othv` i`ptc (i) 1 cd ‟ 7.>0 ‟ (?/3)/; 1 0‿ (der #? ajhm kjr)
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I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
_fjk I`shnm
_t p Me. 7;< Fejis
Djoter i Feji (wu) 1 :.;I.F + :.4F 1 :.; Þ 7.:;0 + :.4 Þ 7.79 1 7.;:9 bsd
3
Yjkf`< I`ji Fejis.
Ajt`rhjf Ychobm`ss (hm) ο (bod) Feji 1 tchobm`ss Þ ο (bsd)
_fjk 4 7.:0 (4/:;) Þ 7.:0 1 7.7>0
Aui ? 7.:; (?/:;) Þ 7.:; 1 7.7?
Yhf` ; 7.:; (;/:;) Þ 7.:;1 7.7;Yetjf 7.:;0 bsd
I`shnm Wrekf`a
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
_fjk I`shnm
_t p Me. 7?< Jmjfyshs
K`mihmn aea`mt ihjnrja der sfjk
8
A 1 oe`ddhoh`mt Þ wu Þ f
m
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I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
_fjk I`shnm
_t p Me. 79< I`shnm
Ojfoufjt` aea`mt ojpjohty prevhi`i ky ahmhaua r`hmdero`a`mt hm sfjk<
Jsahm 1 7.77;kcd 1 7.77; Þ :; Þ 4 1 7.:99 hm;/dt
ΤAm 1 ΤJsahmd y (i-j/;) 1 7.8 Þ 7.:99 Þ 97Þ (0-7.:33/;) 1 ;0.9 hm-b/dt
Τ Am ojfoufjt`i drea Jsahm hs = jff aea`mts ojfoufjt i hm _t p Me ?.
Yc`r`der` Js 1 Jsahm 1 7.:99 hm;/dt (#? G 8.:44‿ o/o)
Ychs whff werb der ketc peshthv` jmi m`njthv` st f js Jsahm nev`rms.
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I`shnm Wrekf`a
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
_fjk I`shnm
_t p Me. 79< I`shnm
Ajhm r`hmdero`a`mt spjohmn<
Ajxhaua spjohmn der ajhm st f r hmdero`a`mt hm em` wjy sfjk jooerihmn te
JOH >.4.0 hs ahmhaua ed<
?cd 1 ? Þ 4 1:3‿
:3‿
Dhmjffy us , #?G 8‿ o/o.
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
_fjk I`shnm
_t p Me. 79< I`shnm
_crhmbjn` st` f er t`ap`rjtur` st` f (Jst)<
Jst 1 7.77;kcd Jst 1 7.77; Þ :; Þ 4 17.:99 hm;/dt
_crhmbjn` r`hmdero`a`mt hs sja` js ajhm r`hmdero`a`mt, k`ojus <
Jst 1 Jsahm 1 7.:99 hm;
Ajxhaua spjohmn der t`ap`rjtur st f r hmdero a`mt hm em` wjy
sfjk jooerihmn te JOH >.:;.;.; hs ahmhaua ed<
0cd 10 Þ 4 1?7‿ E[ :3‿
Yc`r`der` 8‿ spjohmn hs E.B.
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I`shnm Wrekf`a
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
_fjk I`shnm
_t p Me. 70< Irjdthmn
Ajhm r hmdero`a`mt 1 #? G 8‿ o/o (peshthv` & m`njthv )
_crhmbjn` r hmdero`a`mt 1 #? G 8‿ o/o
_upperthmn kjrs 1 #? G :3‿ o/o
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I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`ja I`shnm
_t p Me. 7:< _hz s
Ahmhaua tchobm ss ed k`ja (shapfy suppert`i) 1 cahm 1 f /:3.0
f 1 of jr spjm (f m) + i`ptc ed a`ak r (k`ja) ≩ o/o ihstjmo` k tw``m supperts
F t i ptc ed k ja 1 ;※
f m + i ptc ed k ja 1 ;8.;0※ + ;※ 1 ?:.;0※
o/o ihstjmo` k tw``m k`ja supperts 1 ?7 + (8/:;) 1 ?7.>0※
Yc`r`der` f 1 ?7.>0※
I`ptc (c) 1 (?7.>0/:3.0)Þ(7.9+d y/:77777)Þ:;1 :0.80‿ (Ahmhaua ky JOH 8.0.;.;).
Yjb` c 1 ;※ 1 ;9‿
i 1 c ‟ ? 1 ;:‿
kw 1 :;‿ (jssua`i)
:9
I`shnm Wrekf`a
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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3
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`ja I`shnm
_t p Me 7;< Fejis
Feji emk`ja whff k` `qujf te
Djoter`i feji em k`ja drea sfjk +
djoter i s fd w hnct ed k`ja w`k
Djoter i fejiem sfjk 1 7. ;:9 bsd
Feji em k`ja drea sfjk 1 7. ;:9 bs d x :7
1 ;.:9 b/dt
Djoter i _ fd feji ed k`ja w k 1
1 :.;x (:3 Þ :;/:99) Þ 7.:0 1 7.;> b/d t
Yetjf feji em k`ja 1 ;.:9 + 7.;> 1 ;.9:
b/dt
:; ※※ (jssua`i)
:3 ※※
4 ※※ :7 ※
:0
I`shnm Wrekf`a
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`ja I`shnm
_t p Me. 7?< Jmjfyshs
:4
I`shnm Wrekf`a
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`ja I`shnm
_t p Me. 79< I`shnm
I`shnm der df xur (der peshthv` aea`mt)
_t p (j)< Jooerihmn te JOH 3.:;, k`dd der Y-k ja hs ahmhaua ed<
:4cd + kw 1 :4 Þ 4 + :; 1:73‿
(o/o spjm ed k ja)/9 1(?7.>0※/9) Þ :; 18;.;0‿
o/o spjohmn k`tw `m k`jas 1:7※ Þ :; 1:;7‿
_e k`dd 1 8;.;0‿
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I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`ja I`shnm
_t p Me. 79< I`shnm
I`shnm der df xur (der peshthv` aea`mt)
_t p (k)< Oc`ob hd k`ja hs te k` i`shnm`i js r`otjmnufjr k`ja er Y-k ja.
Jssua` j 1 cd 1 4‿ jmi ojfoufjt Js<
Js 1Au/ {Τd y (i‟j/;)} 1;;98/ {7.8 Þ 97 Þ (;:‟4/;)} 1 ?.9> hm;
[`-ojfoufjt` ‖j‑<
j 1Jsd y/ (7.30d o※k`dd ) 1?.9> Þ 97/ (7.30 Þ ? Þ 8;.;0) 1 7.4‿ 6 cd
Yc r`der i`shnm k`ja js r`otjmnufjr k`ja.
Jdt`r trhjfs Js 1 ?.7: hm; {Jsajx 1 0.:: hm; 2Jsahm 1 :.;4 hm;}
Yc`r der` Js 1 ?.7: hm; {9 #3 kjrs}
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I`shnm Wrekf`a
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:7
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`ja I`shnm
_t p Me. 79< I`shnm
I`shnm der df xur (der hmt rher m`njthv` aea`mt)
kw 1 :;‿ hmst ji ed k`dd der ojfoufjthem ed ‖j‑ k`ojus ed dfjmn` hm t`mshem.
Au 1 ;>98 hm-b hp2c 1 ;9‿2i 1 ;:‿
F`t j 1 7.;i 1 7.; Þ ;:‿ 1 9.;‿
Js 1Au/ {Τd y (i‟j/;)} 1;>98/ {7.8 Þ 97 Þ (;:‟9.;/;)} 1 ?.40 hm;
[`-ojfoufjt` ‖j‑<
j 1Jsd y/ (7.30d o※k`dd ) 1?.40Þ 97/ (7.30 Þ ? Þ :;) 1 9.>>‿
Jdt`r trhjfs Js 1 9.:> hm; {Jsajx 1 0.:: hm; 2Jsahm 1 :.;4 hm;}
Yc`r der` Js 1 9.:> hm; {4 #3 kjrs}
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I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`ja I`shnm
_t p Me. 79< I`shnm
I`shnm der sc jr
_ajx,JOH hs f jst ed Jvd y/(07kw), i/; , ;9‿, Jvd y/ 7.>0 d※ kw
;7
FeojthemTu
(bhp)
ΤTo 1 Τ; ※ kwi
(bhps)
[`hmdero`a`mt
r`quhr`i5
si 1
ΤJvd yi/(Tu ‟ ΤTo)
sajx,
JOH
Nev`rmhmn
s
@xt`rher ?:.7? ;7.> X s :?‿ :7.0‿ :7.0‿
Hmt`rher ?0.43 ;7.> X s 8‿ :7.0‿ 8‿
I`shnm Wrekf`a
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`ja I`shnm
_t p Me. 79< I`shnm
I`shnm der sc jr
Etc`r oc`obs
Oc`ob der i`ptc ed k`ja<
ΤTs ≩ Τ3 ※ kwi (JOH ::.9.>.8)
Τ3 d※ kwi 1 7.>0 Þ 3 Þ ?777 Þ :; Þ ;:/:777 1 3;.9 bhps
ΤTs 1 (ΤJvd yi)/si
1 (7.>0 Þ 7.;; Þ 97 Þ ;:)/8 1 :0.9 bhp 6 3;.9 bhp, E.B.
_e i`ptc hs E.B. Hd met, hmor`js` i`ptc ed k`ja.
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I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`ja I`shnm
_t p Me. 79< I`shnm
I`shnm der sc jr
Etc`r oc`obs
Oc`ob hd ‖ΤTs ≩ Τ9 ※ kwi‑ {JOH ::.9.0.?}<
Hd ‖ΤTs ≩ Τ9 d※ kwi‑, tc` ajxhaua spjohmn (sajx) hs E.B.
Etc`rwhs` r`iuo` spjohmn ky em` cjfd.
Τ9 d※ kwi 1 7.>0 Þ 9 Þ ?777 Þ :; Þ ;:/:7771 9:.9 bhps
ΤTs 1 (ΤJvd yi)/si
1 (7.>0 Þ 7.;; Þ 97 Þ ;:)/8 1 :0.9 bhp 6 9:.9 bhp, E.B.
;;
I`shnm Wrekf`a
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
;?
I`shnm Wrekf`a
K`ja I`shnm
_t p Me. 79< I`shnm
I`shnm der sc jr
[`hmdero`a`mt prevhshem
Ht whf f k` prjothoj ffy aer d jshkf` te prevhi` # ?, ; f nn`i G 8‿ o/o
tcreunceut, stjrthmn jt si/; 1 8/; 1 9.0‿ drea tc djo` ed tc suppert jt
ketc `mis.
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
_t p Me. 7:< _hz s
;9
f 1 f m + c ≩ f o/o
Jssua` c 1 ?※ 1 ?4‿
f 1 ;8.;0 + ? 1 ?;.;0※ = f o/o
Yc`r`der`, f 1 f o/o 1 ?7.>0※
I`shnm Wrekf`a
f 1 f m + c ≩ f o/o
Jssua` c 1 ?※ 1 ?4‿
f 1 ;3.0 + ? 1 ?:.0※ = f o/o
Yc`r`der`, f 1 f o/o 1 ?7※
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
;0
I`shnm Wrekf`a
Nhri`r I`shnm
_t p Me. 7:< _hz s
Ahmhaua tchobm ss ed k`ja (shapfy suppert`i) 1 cahm 1 f /:3.0
f 1 ?7.>0※
I`ptc (c) 1 (?7.>0/:3.0)Þ(7.9+d y/:77777)Þ:;1 :0.80‿ (Ahmhaua ky JOH 8.0.;.;).
Yjb` c 1 ?※ 1 ?4‿
i 1 c ‟ ? 1 ??‿
kw 1 :3‿ (jssua`i)
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`cjvher ed ‖Oefuam-_uppert`i K`ja" jmi
‖Nhri`r-_uppert`i K`ja"
;4
I`shnm Wrekf`a
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:9
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
_t p Me. 7;< Fejis
K`jas feji ojm k` jpprexhajt`i js pehmt fejis em nhri`r. Yc`
umhderafy ihstrhkut`i feji em nhri`r hs oeahmn drea s fd w hnct ed nhri`r
rhk pfus w hnct ed sfjk ihr`otfy r`sthmn em nhri`r.
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I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
_t p Me. 7;< Fejis
W hs tc` pehmt feji em nhri`r jmi hs tc` r`jothem oeahmn drea tc` hmt`rher
suppert ed k`ja iu` te djoter`i feji.
W 1 ; Þ 97.0 1 3: bhps
;3
I`shnm Wrekf`a
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:0
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
_t p Me. 7;< Fejis
(P.I.F)s`fd wt 1 Djoter i s fd w hnct ed nhri`r rhk
1:.;cwnkwnοo
1:.; Þ (?7 Þ :3Þ 7.:0)/:99 17.4>0b/dt
Wjrt ed sfjk em nhri`r {(P.I.F) sn}<
(P.I.F) sn 1 wu (em sfjk) x kwn 1 7.;:9 Þ :3/:; 17.?;: b/dt
Yc`r der` wn 1 (P.I.F) s`fd wt + (P.I.F) sn 1 7.4>0 + 7.?;: 1 :.7 b/dt
;8
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Jppfhojkhfhty ed JOH Jpprexhajt` Jmjfyshs
Jooerihmn te JOH 3.?.?, JOH jpprexhajt` jmjfyshs (oe`ddhoh`mt
a`tcei) hs sukl`ot`i te deffewhmn fhahtjthems
Yc` struotur` cjs twe er aer` spjms
Yc` spjms jr` jpprexhajt fy `qujf, whtc tc` fjrn`r ed tc` twe jiljo`mt
spjms met nr`jt r tcjm tc` scert r ky aer` tcjm ;7 p ro`mt
Fejis jr umhderafy ihstrhkut`i, jmi tc` umdjoter`i fhv` feji ie`s met
`xo``i ? tha`s tc` umdjoter`i i`ji feji
A`ak`rs jr` prhsajtho
?7
I`shnm Wrekf`a
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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:4
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Jppfhojkhfhty ed JOH Jpprexhajt` Jmjfyshs
Yc` JOH oe dd hoh`mt a`tcei ojmmet k` jppf h i te tc` nhri`r js ht hs
sukl ot i te umhdera fejihmn js w ff js pehmt`i fejis.
Jmy a`tcei ed `fjstho jmjfyshs `.n., sfep` i`df`othem a`tcei,
aea`mt ihstrhkuthem a tcei, df xhkhfhty a tcei, sthddm`ss a tcei
`to. ajy k` us`i der tc` jmjfyshs ed suoc ojs`s.
?:
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
_t`p Me. 7;< Jmjfyshs
?;
I`shnm Wrekf`a
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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:>
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
??
_`othem Au
(bhp-dt)i
(hm.)k
(hm.)Js
(hm;)Jsahm
(hm;)Jsajx
(hm;)Kjr
us`i# edkjrs
@xt`rher + 443.0 ?? 8;.;0 4.3> ;.8> ::.33 #3 8 (0 +9)
Hmt`rher ∛ >?:.80 ?? :3 3.?7 ;.8> ::.33 #3 :; (4 +4)
Hmt`rher + :87.00 ?? 8;.;0 :.8? ;.8> ::.33 #3 9
I`shnm Wrekf`a
Nhri`r I`shnm
_t p Me. 79< I`shnm
I`shnm der Df xur`
Jooerihmn te JOH 3.:;, k`dd hs ahmhaua ed<
:4cd + kwn 1:4 Þ 4 + :3 1 ::9‿
(o/o spjm ed nhri`r)/9 1 (?7.>0/9) Þ :; 1 8;.;0‿
o/o spjohmn k`tw``m nhri`r 1 met jppfhojkf
k`dd 1 8;.;0‿
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
_t p Me. 79< I`shnm
I`shnm der _c`jr< _c`jr i`shnm ed nhri`r hs iem` ky jmetc r jpprejoc
in 1 ??‿ 1 ;.>0※
ΤTo 1 Τ; d※ kwnin 1 {7.>0Þ;Þ ?777 Þ:3Þ??}/:777 1 93.3 bhp
Ajxhaua spjohmn jmi ahmhaua r`hmdero`a`mt r`quhr a mt js p`rahtt i ky JOH
::.9.0 jmi ::.9.4 scjff k` ahmhaua ed<
Jvd y/(07kw) 17.;; Þ 97777/(07 Þ :3) 1 8.>>‿ ≃ 8.0‿
in /; 1??/; 1:4.0‿
;9‿
Jvd y/ 7.>0 d※ kw 1 7.;;Þ 97777/ {(7.>0 Þ ?777 Þ :3} 1 ::.87‿
?9
I`shnm Wrekf`a
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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:3
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
_t p Me. 79< I`shnm
I`shnm der _c jr<
_c`jr i`shnm ed nhri r hs iem` ky jmetc r jpprejoc
_hmo` ajxhaua spjohmn jffew i ky JOH hs 8.0‿,
ΤTm 1 ΤTo + ΤTs
ΤTs 1 (ΤJvd yin)/sajx 1 (7.>0 Þ 7.;; Þ 97Þ ??/8.0) 1 ;;.8; bhp
ΤTm 1 93.373 + ;;.8; 1 >:.>; b = Ajx._c jr jt J jmi K kut 6 Ajx. _c`jr
jt O, I jmi @
Ht a`jms tcjt ajxhaua spjohmn ed 8.0‘ ‘ js p`rah tt`i ky JOH nev`rms
k`tw``m pehmt J jmi O.
^` whff ojfoufjt` spjohmn der sc jr r`hmdero`a`mt k`tw``m pehmt O jmi @.
?0
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
_t p Me. 79< I shnm
I`shnm der _c jr<
Dhmjf _pjohmn< Wrevhihmn ?‿ drea O te @ jmi D te C, jmi 8‿ `fs`wc`r`.
?4
Feojthem
Tajx
(bhp)
Tu (G i)
(bhp)
ΤTo 1 Τ; ※kwi
(bhps) si 1ΤJvd yi/(Tu ‟ ΤTo) s
ajx,JOH _ tjb`m
OI :;7.0 ::>.0 93.3 ?‿ 8.0‿ ?‿
I@ 84 89 93.3 9.0‿ 8.0‿ ?‿
I`shnm Wrekf`a
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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:8
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
_t p Me. 79< I shnm
I`shnm der _c jr<
Etc`r oc`obs
Oc`ob der i`ptc ed nhri`r<
ΤTs ≩ Τ3 ※ kwi (JOH ::.9.>.8)
Τ3 d※ kwi 1 7.>0 Þ 3 Þ ?777 Þ :3 Þ ??/:777 1 :80.;7 bhps
ΤTs 1 (ΤJvd yi)/si
1 (7.>0 Þ 7.;; Þ 97 Þ ??)/? 1 >;.47 bhp 6 :80.;7 bhp, E.B.
_e i`ptc hs E.B. Hd met, hmor`js` i`ptc ed k`ja.
?>
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
_t p Me. 79< I shnm
I`shnm der _c jr<
Etc`r oc`obs
Oc`ob hd ‖ΤTs ≩ Τ9 ※ kwi‑ {JOH ::.9.0.?}<
Hd ‖ΤTs ≩ Τ9 d※ kwi‑, tc` ajxhaua spjohmn (sajx) hs E.B.
Etc`rwhs` r`iuo` spjohmn ky em` cjfd.
Τ9 d※ kwi 1 7.>0 Þ 9 Þ ?777 Þ :3 Þ ??/:7771 8>.4 bhps
ΤTs 1 (ΤJvd yi)/si
1 (7.>0 Þ 7.;; Þ 97 Þ ??)/? 1 >;.4 bhp 6 8>.4 bhp, E.B.
?3
I`shnm Wrekf`a
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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;7
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Oefuam I`shnm
Nress jr`j ed oefuam oress-s`othem (Jn) 1 :3 Þ :3 1?;9 hm;
d o※ 1? bsh2 d y 197 bsh
Feji em oefuam<
Wu 1 ;8>.3 b ([`jothem jt hmt rher suppert ed nhri`r iu` te djoter i feji)
?8
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
97
I`shnm Wrekf`a
Oefuam I`shnm
Ajhm [`hmdero`a`mt I`shnm<
Meahmjf str mntc (ΤWm) ed jxhjffy feji`i oefuam hs<
ΤWm 1 7.37Τ{7.30d o※ (Jn ‟Jst) + Jstd y} {der th i oefuam, JOH :7.?.4}
F t Jst 1 :% ed Jn (Jst hs tc` ajhm st` f r`hmdero`a`mt jr`j)
ΤWm 1 7.37 Þ 7.40 Þ {7.30 Þ ? Þ (?;9 ‟ 7.7: Þ ?;9) + 7.7: Þ ?;9 Þ 97}
1 98;b = (Wu 1 ;8>.>>0 b), E.B.
Jst 1 7.7: Þ ?;9 1?.;9hm;
Pshmn ?/9‿ Τ(#4) , whtc kjr jr jJk 17.99 hm;
Me. ed kjrs 1 Js/Jk 1 ?.;9/7.99 1 >.?4 ≃ 3 kjrs
Ps 3 #4 kjrs
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;:
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
9:
I`shnm Wrekf`a
Oefuam I`shnm
Yh` Kjrs<
Pshmn ?/3‿ Τ (#?) t h kjrsder ?/9‿ Τ (#4) ajhmkjrs ( JOH >.:7.0),
_pjohmn der Yh` kjrs jooerihmn te JOH >.:7.0.; hs ahmhaua ed<
:4 Þ ihjed ajhm kjr 1:4 Þ ?/9 1:;‿ o/o
93 Þ ihjed th` kjr 1 93 Þ (?/3) 1:3‿ o/o
F`jst oefuam iha`mshem 1:3‿ o/o
Dhmjffy us #?, t h kjrs G 8‿ o/o
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm
Ijtj Nhv m<
Oefuam shz` 1 :3‿ Þ :3‿
d o※ 1? bsh
d y 1 97 bsh
qj 1 ;.;79 b/dt;
Djoter i feji em oefuam 1 ;8>.>>0 bhps ([`jothem jt tc` suppert)
_`rvh o feji em oefuam 1 ;?9 bhps ([`jothem jt tc` suppert iu` te
s`rvho` feji)
9;
I`shnm Wrekf`a
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;;
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm
_hz`s<
Jssua` c 1 :3 hm.
ijvn 1 c ‟ of`jr oev`r ‟ em` kjr ihj
1 :3 ‟ ? ‟ :(der #3 kjr) 1 :9 hm.
Jssua` i`ptc ed tc` kjs` ed deethmn drea nreumi f`v`f (z) 1 0※
^`hnct ed dhff jmi oemor t` deethmn, ^1 οdhff( z - c ) + οoc
1:77 Þ (0 ‟ :.0) +:07 Þ (:.0) 1 0>0 psd 1 7.0>0 bsd
9?
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm
_hz`s<
@dd othv` k`jrhmn ojpjohty, q` 1 qj ‟ ^
1 ;.;79 ‟ 7.0>0 1 :.4;8 bsd
K`jrhmn jr`j, Jr`q 1 _ rvho` Feji/ q`
1 ;?9/:.4;8 1 :9?.80 dt;
Jr`q 1 K x K 1 :9?.40 dt; 1= K 1 :; d t.
Orhthojf W`rha t`r, ke 1 9 x (o + ijvn)
1 9 Þ (:3 + :9) 1:;3 hm
99
K 1 :;※
o 1 :3‿
ijvn + o
ijvn / ; 1:9/; 1 >‿
K 1 :;※ijvn + o
I`shnm Wrekf`a
7/23/2019 L 03 Analysis and Design of One Way Slab System Part II Dec 2014
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;?
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm
Fejis<
qu (k`jrhmn pr`ssur` der str mntc i`shnm ed deethmn)<
qu 1 djoter`i feji em oefuam / Jr`q 1 ;8>.>>0/ (:; Þ :;) 1
;.743 bsd
90
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm
Jmjfyshs<
Wumochmn sc`jr<
Tup 1 quK; ‟ qu(o + ijvn)
;
Tup 1 ;.743 Þ :;; ‟;.743 Þ {(:3+:9)/:;)} ;
1 ;3?.78 bhp
94
K K
I`shnm Wrekf`a
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;9
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm
Jmjfyshs<
Df`xurjf Jmjfyshs<
Au 1 quKb;/;
b 1 (K ‟ o)/; 1 (:; x :; ‟:3)/;
1 4? hm 1 0.;0¹
Au 1 ;.743 Þ :; Þ 0.;0 Þ 0.;0/;
1 ?9; dt-b
1 9:79 hm-bhp
9>
Orhthojf _`othem
K K
ququ
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm
I`shnm<
I`shnm der Wumochmn _c jr<
Tup 1 ;3?.78 bhp
Wumochmn sc jr ojpjohty (ΤTop)
1 Τ9 d ※ keijvn
1 7.>0 Þ 9 Þ ?777 Þ :;3 Þ :9/:777
1 ;89.90 b = Tup, E.B
93
I`shnm Wrekf`a
ijvn
ke
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;0
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm
I`shnm<
I`shnm der Df`xur`<
Au 1 9:79 hm-bhp
j 1 7.;ijvn 1 7.; Þ :91 ;.3‿
Js 1 Au/ {Τd y(ijvn ‟ j/;)} 1 9:79/ {7.8 Þ 97 Þ (:9 ‟ ;.3/;)} 1 8.70 hm;
j 1 Jsd y/ (7.30d o※K) 1 8.70 Þ 97/ (7.30 Þ ? Þ :; Þ :;) 1 7.88‿
Jdt`r trhjfs, Js 1 3.9;hm; (Jsahm 1 7.770Kijvn 1 :7.73 hm; se Jsahm nev`rms)
_pjohmn 1 K Þ Jk/Jsahm 1 :;Þ :;Þ 7.>8/:7.731 ::.;3 hm o/o ≃ ::hm o/o
Ps #3 G ::‿ o/o (Ajx. _pjohmn aust met `xo` i ?c er :3‿)
98
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Irjdthmn I`tjhfs der _fjk
07
I`shnm Wrekf`a
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;4
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
0:
I`shnm Wrekf`a
Irjdthmn I`tjhfs der K`ja
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
0;
I`shnm Wrekf`a
Irjdthmn I`tjhfs der Nhri`r
_`othem Au
(bhp-dt)Js
(hm;)Jsahm
(hm;)Jsajx
(hm;)Kjr
us`i# edkjrs
@xt`rher + 443.0 4.3> ;.8> ::.33 #3 8 (0 +9)
Hmt`rher ∛ >?:.80 3.?7 ;.8> ::.33 #3 :; (4 +4)
Hmt`rher + :87.00 :.8? ;.8> ::.33 #3 9*
*Met`< jt _`o O-O 9 kjrs jr` r`quhr`i drea ojfoufjthem kut der prjothojf d`jshkhfhty w` scjff prevhi` 0 kjrs js scewm hm tc` dhnur`
@SY@[HE[ (N:) HMY@[HE[ (N;)
J
J
K
K
O
O
I
I
F F
#?,; f`nn`i G 8" o/o#?,; f`nn`i
G ?" o/o#?,; f`nn`i
G ?" o/o
#?,; f`nn`i
G 8" o/o
#?,; f`nn`i
G ?" o/o
: ;
>'-7"
:?'-7"
;'-8"
; #3 Kjrs(4+4) #3 Kjrs
0 #3 Kjrs
(0+9) #3 Kjrs
0 #3 Kjrs
_@OYHEM J-J _@OYHEM K-K
#?,; f`nn`i sthrrups G 8" o/o(0+9) #3 Kjrs
#?,; f`nn`i sthrrups G 8" o/o
; #3 Kjrs ; #3 Kjrs
?4"
:3"
4"
?4"
:3"
4"
0 #3 Kjrs
_@OYHEM O-O _@OYHEM I-I
?4"
:3"
4"
?4"
:3"
4"
#?,; f`nn`i sthrrups G 8" o/o#?,; f`nn`i sthrrups G ?" o/o
(4+4) #3 Kjrs(4+4) #3 Kjrs
0 #3 Kjrs 0 #3 Kjrs
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;>
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
0?
I`shnm Wrekf`a
Irjdthmn I`tjhfs der Oefuam jmi Deethmn
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Hm tc` suks`qu`mt sfhi`s tc` sja` cjff cjs k``m jmjfyz`i jmi
i`shnm`i der k`jas jmi nhri`rs suppert`i em oefuams hmst`ji ed wjffs.
_truoturjf Wfjm<
09
I`shnm Wrekf`a
K`ja
Nhri`r
O?
O;O:
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;3
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Drja` Jmjfyshs der K`ja
;I drja` ojm k` i tjoc`i drea j ?I syst a js deffews<
00
;8.;0※
;7※
^u 1 ;.9: b/dt
;8.;0※
I`shnm Wrekf`a
Oefuam _hz` 1 :3※※ Þ :3※※
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Drja` Jmjfyshs der K`ja
Pshmn JOH aea`mt oe ddhoh`mts der jmjfyzhmn tc` drja`<
Met < Hmt r her suppert oemihthems der tc` k ja (hd suppert`i em oefuam, er em ref f r)
ie s met `dd ot jmjfyshs r`sufts.
04
I`shnm Wrekf`a
;8.;0※
;7※
^u 1 ;.9: b/dt
;8.;0※
;7※ ;7※ 1
:/:9 :/:9
:/8
:/:4 :/:4
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;8
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Drja` Jmjfyshs der Nhri`r
;I drja` ojm k` i`tjoc`i drea j ?I syst`a hm tc` deffewhmn
ajmm`r<
I`shnm Wrekf`a
:7※
;7※ ;7※ ;7※ ;7※
:7※ :7※ :7※ :7※ :7※ :7※ :7※ :7※
3: b 3: b 3: b 3: b3: b 3: b 3: b 3: b97 b 97 b
Nhri`r
0>
:.7 b/dt
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Drja` Jmjfyshs der Nhri`r
Jmjfyshs ed Nhri`r
I`shnm Wrekf`a
Au (@xt`rher +)
Au (Hmt`rher+)
Au (Hmt`rher -)
03
:7※
;7※ ;7※ ;7※ ;7※
:7※ :7※ :7※ :7※ :7※ :7※ :7※ :7※
3: b 3: b 3: b 3: b3: b 3: b 3: b 3: b97 b 97 b
:.7 b/dt
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?7
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
_fjk I`shnm
I`shnm ed sfjk der k`jas suppert`i em oefuam whff k` sja` js
tcjt ed k`jas suppert i em wjffs.
Ajhm r hmdero`a`mt 1 #? G 8‿ o/o (peshthv` & m`njthv )
_crhmbjn` r hmdero`a`mt 1 #? G 8‿ o/o
_upperthmn kjrs 1 #? G :3‿ o/o
08
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
K`ja I`shnm
Au (+v ) 1 :>4> hm-bhps
Au,`xt (-v ) 1 :094 hm-bhps
Au,hmt (-v ) 1 ;>98 hm-bhps
Js (+v`) 1 ;.?4 hm; (? #3 kjrs)
Js,`xt (-v`) 1 ;.:8 hm; (? #3 kjrs)
Js,hmt
(-v`) 1 9.:3 hm; (4 #3 kjrs)
Yc` sc`jr r hmdero`a`mt hs met jdd`ot i jmi c`mo` ht whff k` tc`
sja` js hm tc` pr vheus ojs` (k`jas suppert`i em wjffs)
47
I`shnm Wrekf`a
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?:
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Nhri`r I`shnm
I`shnm Wrekf`a
_`othem Au
(bhp-dt)i
(hm.)k
(hm.)Js
(hm;)Jsahm
(hm;)Jsajx
(hm;)Kjr
us`i# edkjrs
@xt`rher + 4:9.49 ?? 8;.;0 4.?: ;.8> ::.33 #3 3
Hmt`rher ∛ >;4.7? ?? :3 3.;? ;.8> ::.33 #> + #3 4 + 4
Hmt`rher + ;:>.84 ?? 8;.;0 ;.;: ;.8> ::.33 #3 9
4:
Au (@xt`rher +)
Au (Hmt`rher+)
Au (Hmt`rher -)
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
4;
I`shnm Wrekf`a
Oefuam I`shnm
I shnm ed O: (jfr jiy iem` em sfhi`s ?8 te 9:)
3 #4 kjrs, #? th`s G 8‿ o/o
I shnm ed O; (ie ht yeurs fd)
I shnm ed O?
I`shnm ed oefuam O? hs ojrrh`i eur hm suks`qu`mt sfhi`s.
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?;
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
4?
W u 1 ?0.;0 bhp
A u 1 :094.9? hm-bhp
W u A u
I`shnm Wrekf`a
Oefuam I`shnm (O?)
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Oefuam I`shnm (O?)< Pshmn JOH I`shnm Jhis
Ajhm [`hmdero`a`mt I`shnm
_hz`<
:3 hm. Þ :3 hm.
Fejis<
W u 1 ?0.;0 bhps
A u 1 :094.9? hm-bhps
Ojfoufjt` tc` rjthe n , der ;.0 hm. oev r< n 1 (:3 ‟ ;(;.0)) /:3 1 7.>;
Ojfoufjt` B m, B m 1 W u/(Ód※ o Jn) 1 ?0.;0/(7.40 Þ ? Þ ?;9) 1 7.74
Ojfoufjt` [ m, [ m 1 A u/(Ód※ o Jnc) 1 :094.9?/(7.40 Þ ? Þ ?;9 Þ :3) 1
7.:9
49
d※ o 1 ? bsh, d y 1 47 bsh
I`shnm Wrekf`a
:3※※
:3※※
nc
o
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??
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Oefuam I`shnm (O?)
Ajhm [`hmdero`a`mt I`shnm
Der nhv`m ajt r hjf str`mntc,
tc` oefuam str`mntc
hmt`rjothem ihjnrja nhv`s tc`
deffewhmn r`hmdero`a`mt rjthe<
r 1 7.7:3
Jst 1 7.7:3 Þ ?;9 1 0.3?
hm.;
Pshmn 3 #3 kjrs
40
_tr`mntc Hmt`rjothem Ihjnrja (JOH I`shnm Cjmikeeb)
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Oefuam I`shnm (O?)
Yh` Kjrs<
Pshmn ?/3‿Τ (#?) t h kjrs der ?/9‿ Τ (#4) ajhmkjrs ( JOH >.:7.0),
_pjohmn der Yh kjrs jooerihmn te JOH >.:7.0.; hs ahmhaua ed<
:4 Þ ihj ed ajhm kjr 1:4 Þ ?/9 1:;‿ o/o
93 Þ ihj ed th` kjr 1 93 Þ (?/3) 1:3‿ o/o
F`jst oefuam iha`mshem 1:3‿ o/o
Dhmjffy us #?, t h kjrs G 8‿ o/o
44
I`shnm Wrekf`a
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?9
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Oefuam I`shnm (O?)
Irjdthmn
4>
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Oefuam I`shnm (O: jmi O;)
Irjdthmn
43
I`shnm Wrekf`a
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?0
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm
I shnm ed deethmn der tc` oefuam O: cjs jfr`jiy k``m iem` (r d r te
sfhi`s 9; te 98)
Ie i`shnm ed deethmn der oefuam O; jmi O? yeurs`fd.
I`tjhfs ed r`hmdero`a`mt jr` pr`s`mt`i hm tc` suks`qu`mt sfhi`s.
48
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm der O:
Irjdthmn
>7
I`shnm Wrekf`a
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?4
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm der O;
Irjdthmn
>:
I`shnm Wrekf`a
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Deethmn I`shnm der O?
Irjdthmn
>;
I`shnm Wrekf`a
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Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
[`d`r`mo`s
JOH ?:3
I`shnm ed Oemor`t` _truotur`s :?tc @i. ky Mhfsem,
Ijrwhm jmi Iefjm
>?
Wred. Ir. Zjhsjr Jfh [`hmdero`i Oemor`t` I`shnm ‟ HH
I`pjrta`mt ed Ohvhf @mnhm``rhmn, Pmhv`rshty ed @mnhm``rhmn jmi Y`ocmefeny W`scjwjr
Yc` @mi
>9