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!"!#$%&$!'()*#)+,-#."$!$!"!#$%&$!'()*#)+,-#."$!$!"!#$%&$!'()*#)+,-#."$!$!"!#$%&$!'()*#)+,-#."$!$/-(0-".#-/-(0-".#-/-(0-".#-/-(0-".#-&120!#3+!"!#$%&!(!%4!$)#-&120!#3+!"!#$%&!(!%4!$)#-&120!#3+!"!#$%&!(!%4!$)#-&120!#3+!"!#$%&!(!%4!$)#-
5%&0!#-$5%&0!#-$5%&0!#-$5%&0!#-$
++++++6!"!#$%)*(!+)(2$-"-*)0!+)+&270!$"0!(0!6++++++6!"!#$%)*(!+)(2$-"-*)0!+)+&270!$"0!(0!6++++++6!"!#$%)*(!+)(2$-"-*)0!+)+&270!$"0!(0!6++++++6!"!#$%)*(!+)(2$-"-*)0!+)+&270!$"0!(0!6
++++++/-(0-".#-++++++++++++++++++++++++++++++++++++++++++/&%)2"-7++8-%)*
++++++9:;;?@A++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++==:=BC
02-1%D-02-1%D-02-1%D-02-1%D-0
>; 5%&0!#$()+D-1-$-#EEEEEEEEEEEEEEEE;;;E;+>>>>9; $!'()*#)+&5)2+%0!2!(0-+2-
5%&%-*.()8-EEEEEEEEEEEEEEEEEE;;EEE+99;> $!'()*#)+&5)2EEEEEEEEEEEEEEEEEE;;EEE; ;+99;9+5%&%-*.(+&270!$"0!(0-EEEEEEEEEEEE;;;EE;;;+:9;:+1)8!(D)&()2-(0-+#-/"&7-EEEEEEEEEEE;;;EE+;> 1)8!(D)&()2-(0!+#-/"&7-+&1+8%&+1&+%&EEEEE;+;9 1)8!(D)&()2-(0!+#-/"&7-++&1+#5&+1&+8%&EEEE;+F9;>;: 1)8!(D)&()2-(0!+#-/"&7-++&1+#5&>+1&++#5&EEE;;;+G9;>;H 1)8!(D)&()2-(0!+#-/"&7-++&1+#5&9+1&++#5&>EEE;+I9;>;< 1)8!(D)&()2-(0!+#-/"&7-++&1+$2+1&++#5&9EEEE;;;+C9;>;F 1)8!(D)&()2-(0!+#-/"&7-+.+2$-(.EEEEEEEE;+>=
9;H;+5%&70!%-+5-1&7-+(-5&(-+.+2$-(.EEEEEEEE;;+>99;H;> 5%&70!%-+5-1&7-+(-5&(-+&1+$2+1&+#5&9EEEEE;;+>99;H;9 5%&70!%-+5-1&7-+(-5&(-+&1+#5&9+1&+#5&>EEEE;+>99;H;: 5%&70!%-+5-1&7-+(-5&(-+&1+#5&>+1&+#5&E;EEE;;+>:9;H;H 5%&70!%-+5-1&7-+(-5&(-+&1+#5&+1&+8%&EEEEE+>:9;H;< 5%&70!%-+5-1&7-+(-5&(-+&1+8%&+1&+%&EEEEE;;+>H9;H;F 5%&70!%-+5-1&7-+(-5&(-+.+2$-(.EEEEEEEE;;+>H
:;++++5%&%-*.(+2$%.0-+#%-$#)'+25&0!7-+)+++++++5%&70!%-+D-2$)$!EEEEEEEEEEEEEEEEEEE;;;+>+#%-$-#+25&0+(-++$2EEEEEEEEEEEEEE;;;EEEE+>F:;H+#%-$-#+25&0++(-+5&$%&2-*)8-EEEEEEEEEEEE>G
+H;+++25!*),)#-*)0-+8-$!%)0-"-+)+++++++&5%!8!+D-+0!1-(+2$-(EEEEEEEEEEEEEEEE;+>C
29;$LTOPUMP+@VPW+XWY@KLOPT+JKLZLOKR+WR+WYP[+V@NJLSOP[+VJ@JRUXOP[R9;$LTOPUMP+@VPW+XWY@KLOPT+JKLZLOKR+WR+WYP[+V@NJLSOP[+VJ@JRUXOP[R9;$LTOPUMP+@VPW+XWY@KLOPT+JKLZLOKR+WR+WYP[+V@NJLSOP[+VJ@JRUXOP[R9;$LTOPUMP+@VPW+XWY@KLOPT+JKLZLOKR+WR+WYP[+V@NJLSOP[+VJ@JRUXOP[R
++++++++++++++++++++++++++++9;>;$LTOPUMP+@VPW++++++++++++++++++++++++++++9;>;$LTOPUMP+@VPW++++++++++++++++++++++++++++9;>;$LTOPUMP+@VPW++++++++++++++++++++++++++++9;>;$LTOPUMP+@VPW
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a>==[[;6.NPUOP]L+X+MXTPOKP+[@ONPJRNP+OR+>9=][+@A+V@AR;6.NP_OP]R+X+MXVRNP\X+NJLSR+AR+P[R+QRZNPNOP+V@M\@VR]+P+AR+KL+[@ONPJROR+OR+>9=][+@A+V@AR;6&WNR\L+XNPUOP]L+[@ONPJRNP+OR+YPWPOP+H=+][+@A+V@AR;65JLMPARUL+QR+@WYKLN\KLOKL+[@ONPJRNP+OR+>
32.2 Proracun osvjetljenja
Proracun osvjetljenja je uradjen po metodi stepena korisnog djelovanja za dnevnu sobu ikuhinju,a za ostale prostorije po Watt-noj metodi.1OLYOP+S@JRYRM+KL+AP[LOQPKR+9`Ha9``
4-hs visina vjesanja svjetiljke koja iznosi 0,2m
hk=2,6-0,85-0,2=1,55mUvrstavanjem brojnih vrijednosti za k dobijemo
k=1,28Koeficijenti refleksije su:
-pod rp=0,1-strop rs=0,7-zidovi rz=0,5
Osvjetljenje je rijeseno kao indirektno sa svjetiljkom S-1-200 sa sijalicom 200W sauzarenim vlaknom.Iz tablica za ovu svjetiljku se pronalazi 47,0= .Faktor zaprljanosti prostorije fz=0,9 .Faktor starenja sijalice fs=0,9 .Ukupan svjetlosni fluksse racuna po izrazu:
zs
suk ff
AE
=
Uvrstavanjem brojnih vrijednosti dobija se:lmuk 4107=
Fluks jedne sijalice od 200W iznosi:lms 31001 =
Racunski dobijen potreban broj sijalica je:
32,11
=
=
s
ukrn
Konacan usvojen potreban broj sijalica je n=2 sa ukupnom snagom osvjetljenja 400W.Ostale prostorije se rjesavaju po Watt-noj metodi,gdje se potrebna snaga osvjetljenjaracuna na osnovu povrsine prostorije i usvojene specificne snage od 30 W/m2.Rezultati su prikazani u tablici.
Prostorija A Porebnasnaga W
RealizacijaW
Hodnik 3,5 105 2x60S. soba 4 120 2x100D. soba 5 150 2x100Balkon 2,5 75 1x100Trpezarija 3,625 108 2x60Ostava k. 0,8 24 1x60Ostava b. 0,75 23 1x60Kupatilo 3,5 105 2x60Kuhinja 2x200Dnevni boravak 3x200Total 1980
Ukupna instalisana snaga osvjetljenja je 1980 W.
59;:+1P[LOQ9;:+1P[LOQ9;:+1P[LOQ9;:+1P[LOQP@OPWROKL+MRS\@YRP@OPWROKL+MRS\@YRP@OPWROKL+MRS\@YRP@OPWROKL+MRS\@YR
)OWNR\PWROR+WROR?R+KLAO@?+WNROR+PQO@WP3WP 306801 =
0LAO@YJL[LOR+WOR?R+WNROR+WL+JR]XOR+V@+@SJRW]X3
1PkP jj =?AKL+KL+ jk +M@L^P]PKLON+KLAO@YJL[LO@WNP+P+PQO@WP3
4,0=jk +bQS@?+YL\PML+POWNR\PWROL+WOR?Lc5@W\PKL+XO@WLOKR+YJPKLAO@WNP+A@SPKR+WL
WPj 12272=
9;:;>+1P[LOQP@OPWROKL+MRS\@YR+@A+8%&+A@+%&9;:;>+1P[LOQP@OPWROKL+MRS\@YR+@A+8%&+A@+%&9;:;>+1P[LOQP@OPWROKL+MRS\@YR+@A+8%&+A@+%&9;:;>+1P[LOQP@OPWROKL+MRS\@YR+@A+8%&+A@+%&
0LAO@YJL[LOL+WNJXKR+WNROR+WL+JR]XOR+VJL[R+PQJRQX3
cos3 nj
j UP
I =
.WYRKR+WL+^RMN@J+WOR?L+ 1cos = +QR+A@[RePOWNYR;
.O@ZLOKL[+ VU n 380= +P+@WNR\PT+SJ@KOPT+YJPKLAO@WNP+A@SPKR+WL3
AI j 6,18=2NJXKR+QR+M@KX+VJ@Y@AOPM+[@JR+SPNP+VJLAYPfLO+@AJLfXKL+WL+PQ+PQJRQR3
KKI
Ip
jj =/
?AKL+KL pK +^RMN@J+V@\R?ROKR+MRS\R`R K NL[VLJRNXJOP+M@L^P]PKLON;#RM@+WL+JRAP+@+96H+YPWLQP\OPT+MRS\@YR+JRQY@AR+NPVR+*+M@KP+WX+QRNY@JLOP+P+YXMX+WLVRJR\L\O@`+XWYRKR+WL3
8,0=pK ++++ 1=K
2\PKLAP+ AI j 25,23/=
)Q+NRS\P]L+WL+SPJR+@A?@YRJRKX]P++Y@A+P+VJLWKLM+OKL?@YPT+VJ@Y@AOPMR+VJL[R3/jtd II >
?AKL+KL+ tdI NJRKO@+A@QY@\KLOR+WNJXKR;/PJR+WL+MRS\+WR+57*+PQ@\R]PK@[+P+SRMRJOP[+VJ@Y@AOP]P[R+VJLWKLMR 26mmq = ;1RM\L+NJLSROR[+MRS\+556g+ 265 mmx +WR+ AItd 40= ;8RMWP[R\OR+AXQPOR+@A+8%&+A@+%&+KL+>9[;)QS@J+@WP?XJR]R+WL+YJWP+OR+@WO@YX+PQJRQR3
tdpoj IKKII
69;:;9+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&+A@+8%&9;:;9+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&+A@+8%&9;:;9+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&+A@+8%&9;:;9+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&+A@+8%&
0LAO@YJL[LOR+WOR?R+NJP+WNROR+WL+JR]XOR+V@+@SJRW]X3
=3
133 PkP jj
?AKL+KL+ 3jk +M@L^P]PKLON+KLAO@YJL[LO@WNP+P+PQO@WP3
33
+=
kkk j
4AKL+KL+ 18,0=
k5@W\PKL+XO@WLOKR+YJPKLAO@WNP+A@SPKR+WL
WPj 240773 =0LAO@YJL[LOL+WNJXKR+NJP+WNROR+WL+JR]XOR+VJL[R+PQJRQX3
cos33
3n
jj U
PI =
.WYRKR+WL+^RMN@J+WOR?L+ 1cos = +QR+A@[R]POWNYR;
.O@WLOKL[+ VU n 380= +P+@WNR\PT+SJ@KOPT+YJPKLAO@WNP+A@SPKR+WL3AI j 6,363 =
2NJXKR+QR+M@KX+VJ@Y@AOPM+[@JR+SPNP+VJLAYPfLO+@AJLfXKL+WL+PQ+PQJRQR3
KKI
Ip
jj
3/3 =
?AKL+KL pK +^RMN@J+V@\R?ROKR+MRS\R`R K NL[VLJRNXJOP+M@L^P]PKLON;#RM@+WL+JRAP+@+96H+YPWLQP\OPT+MRS\@YR+JRQY@AR+NPVR+*+M@KP+WX+QRNY@JLOP+P+YXMX+WLVRJR\L\O@`+XWYRKR+WL3
8,0=pK ++++ 1=K
2\PKLAP+ AI j 7,45/
3 =
)Q+NRS\P]L+WL+SPJR+@A?@YRJRKX]P++XWV@OWMP+Y@A+P+VJLWKLM+OKL?@YPT+VJ@Y@AOPMR+VJL[R3/3jtd II >
?AKL+KL+ tdI NJRKO@+A@QY@\KLOR+WNJXKR;/PJR+WL+MRS\+WR+57*+PQ@\R]PK@[+P+SRMRJOP[+VJ@Y@AOP]P[R+VJLWKLMR 216mmq = ;1RM\LNJLSR+OR[+MRS\+556g+ 2165 mmx +WR+ AItd 73= ;8RMWP[R\OR+AXQPOR+Y@AR+KL+9=+[;)QS@J+@WP?XJR]R+WL+YJWP+OR+@WO@YX+PQJRQR3
tdpoj IKKII
79;:;:+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&>+A@+#5&9;:;:+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&>+A@+#5&9;:;:+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&>+A@+#5&9;:;:+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&>+A@+#5&
0LAO@YJL[LOR+WOR?R+Q?JRAL+WR+G+WVJRN@YR+V@+NJP+WNROR+WL+JR]XOR+V@+@SJRW]X3
=22
1PkP jzjz
?AKL+KL+ jzk +M@L^P]PKLON+KLAO@YJL[LO@WNP+P+PQO@WP3
121kkk jz+
+=
4AKL+KL+ 18,0=
k5@W\PKL+XO@WLOKR+YJPKLAO@WNP+A@SPKR+WL
WPjz 94494=0LAO@YJL[LOL+WNJXKR+Q?JRAL+WL+JR]XOR+VJL[R+PQJRQX3
cos3 njz
jz UP
I =
.WYRKR+WL+^RMN@J+WOR?L+ 1cos = +QR+A@[RePOWNYR;
.O@ZLOKL[+ VU n 380= +P+@WNR\PT+SJ@KOPT+YJPKLAO@WNP+A@SPKR+WL3AI jz 143=
2NJXKR+QR+M@KX+VJ@Y@AOPM+[@JR+SPNP+VJLAYPfLO+@AJLfXKL+WL+PQ+PQJRQR3
KKI
Ip
jzjz =
/
?AKL+KL pK +^RMN@J+V@\R?ROKR+MRS\R`R K NL[VLJRNXJOP+M@L^P]PKLON;#RM@+WL+JRAP+@++JRQY@AX+NPVR+1+M@KP+WX+QRNY@JLOP+P+YXMX+WL+VRJR\L\O@`+XWYRKR+WL3
8,0=pK ++++ 1=K
+2\PKLAP+ AI jz 178/=
)Q+NRS\P]L+WL+SPJR+@A?@YRJRKX]P+++Y@A+P+VJLWKLM+OKL?@YPT+VJ@Y@AOPMR+VJL[R3/jztd II >
?AKL+KL+ tdI NJRKO@+A@QY@\KLOR+WNJXKR;/PJR+WL+MRS\+WR+PQ@\R]PK@[+@A+X[JLQLO@?+V@\PLNP\LOR++P+SRMRJOP[+VJ@Y@AOP]P[RVJLWKLMR 2mm300q = ;1RM\L+NJLSR+OR[+MRS\++ 240mm300x3 2 + +WR+ A396Itd = ;8RMWP[R\OR+AXQPOR+Y@AR+KL+>9+[;#RS\+WL+WNPNP+O@QRWNP[+@WP?XJR]L[+X+$2`NPV+(`+ a335Io =
89;:;H+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&9+A@+#5&>9;:;H+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&9+A@+#5&>9;:;H+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&9+A@+#5&>9;:;H+1P[LOQP@OPWROKL+MRS\@YR+@A+#5&9+A@+#5&>
0LAO@YJL[LOR+WOR?R+AYPKL+Q?JRAL+WR+G+WVJRN@YR+V@+NJP+WNROR+WL+JR]XOR+V@+@SJRW]X3
=44
1PkP jzjz
?AKL+KL+ jzk +M@L^P]PKLON+KLAO@YJL[LO@WNP+P+PQO@WP3
222kkk 2j+
+=
4AKL+KL+ 18,0=
k5@W\PKL+XO@WLOKR+YJPKLAO@WNP+A@SPKR+WL
WPjz 163944=0LAO@YJL[LOL+WNJXKR+Q?JRAL+WL+JR]XOR+VJL[R+PQJRQX3
cos3 njz
jz UP
I =
.WYRKR+WL+^RMN@J+WOR?L+ 1cos = +QR+A@[RePOWNYR;
.O@ZLOKL[+ VU n 380= +P+@WNR\PT+SJ@KOPT+YJPKLAO@WNP+A@SPKR+WL3AI jz 249=
2NJXKR+QR+M@KX+VJ@Y@AOPM+[@JR+SPNP+VJLAYPfLO+@AJLfXKL+WL+PQ+PQJRQR3
KKI
Ip
jzjz =
/
?AKL+KL pK +^RMN@J+V@\R?ROKR+MRS\R`R K NL[VLJRNXJOP+M@L^P]PKLON;#RM@+WL+JRAP+@++JRQY@AX+NPVR+1+M@KP+WX+QRNY@JLOP+P+YXMX+WL+VRJR\L\O@`+XWYRKR+WL3
8,0=pK ++++ 1=K
+2\PKLAP+ AI jz 276/=
)Q+NRS\P]L+WL+SPJR+@A?@YRJRKX]P+++Y@A+P+VJLWKLM+OKL?@YPT+VJ@Y@AOPMR+VJL[R3/jztd II >
?AKL+KL+ tdI NJRKO@+A@QY@\KLOR+WNJXKR;/PJR+WL+MRS\+WR+PQ@\R]PK@[+@A+X[JLQLO@?+V@\PLNP\LOR++P+SRMRJOP[+VJ@Y@AOP]P[RVJLWKLMR 2mm300q = ;1RM\L+NJLSR+OR[+MRS\++ 240mm300x3 2 + +WR+ A396Itd = ;8RMWP[R\OR+AXQPOR+Y@AR+KL+>9+[;#RS\+WL+WNPNP+O@QRWNP[+@WP?XJR]L[+X+$2`NPV+(` A335Io =
10
9;:;F+1P[LOQP@OPWROKL+MRS\@YR+X+WNROX9;:;F+1P[LOQP@OPWROKL+MRS\@YR+X+WNROX9;:;F+1P[LOQP@OPWROKL+MRS\@YR+X+WNROX9;:;F+1P[LOQP@OPWROKL+MRS\@YR+X+WNROX(RQPYOR+WNJXKR+[@O@^RQO@?+WNJXKO@?+M@\R+WL+JR]XOR+VJL[R+PQJRQX3
nf
in U
PI =
?AKL+KL+ iP +POWNR\PWROR+WOR?R+WNJXKO@?+M@\R`+R+ VU nf 220= ;(RQPYOR+WNJXKR+NJ@^RQO@?+WNJXKO@?+M@\R+WL+JR]XOR+VJL[R+PQJRQX3
nL
in U
PI
3=
?AKL+KL+ iP +POWNR\PWROR+WOR?R+WNJXKO@?+M@\R`+R+ VU nL 380= ;5JLWKL]P+MRS\@YR+@A+SRMJR+WR+57*+PQ@\R]PK@[+XWY@KLOP+WX+V@+VJLV@JX]P3
6QR+WNJXKOL+MJX?@YL+@WYKLN\KLOKR+ 25.1 mmq =6QR+@WNR\L+WNJXKOL+MJX?@YL++ 25.2 mmq =
5@WN@+WL+@A+%&+Y@AP+>G+VRJR\L\OPT+Y@A@YR`+JRQY@AR+NPVR+*`QR+M@JLM]P@OL+^RMN@JL+WLXQP[RKX+YJPKLAO@WNP3
7,0=pK ++++ 1=K)QS@J+@WP?XJR]R+WL+YJWP+OR+@WO@YX+MJPNLJPKX[R3
tdpon IKKII ++++`< ++++>I`< ++++++>= ++++9C:; 4JPKR\P]R+MX; +++>9== +++++F +++++9;G +++9`< ++++9: ++++++>F +++++H;F=== +++++H`F +++++G;9F; .NP]OP]R
AO;S;+++> +++9`< ++++9: ++++++>F ++++>F;C
G; .NP]OP]R+W;W; +++> +++9`< ++++9: ++++++>F ++++>F;FI; .NP]OP]R+AK;W; +++> +++9`< ++++9: ++++++>F ++++9=C; &WYKLN\KLOKL9 +++>HH= +++++F`< +++>`< ++++>I`< ++++++>= ++++:=>=; 5J@N@]OP+S@K; +++9>`:= +++9`< ++++9: ++++++>F +++++H;>; 2NLAOKRM +++G=== ++++>=`FH +++9`< ++++9: ++++++>F +++++I;:>9; -M;S@K\LJ +++99== ++++>= +++9`< ++++9: ++++++>F +++++:; DY@O]L +++++6 +++++6 +++>`< ++++>I`< ++++++>= +++++>>H; #\P[R+X; +++99== ++++>= +++9`< ++++9: ++++++>F +++++>9>= +++9`< ++++9: ++++++>F +++++>9>F; #\P[R+X; +++99== ++++>= +++9`< ++++9: ++++++>F +++++>9>G; #\P[R+X; +++99== ++++>= +++9`< ++++9: ++++++>F +++++>9
11
/J;/J;/J;/J; +++++">+++++">+++++">+++++"> ++++++"9"9"9"9 ++++"9"9"9"9>; ++++H==>=; ++++9>; +++:=== ++++9=== +++9===>9; +++99==>H; +++99==>F; +++99==>G; +++99==$@NR\ +++>=H== ++++>=H== +++CFI=
12
9;H5J@YKLJR+VRA@YR+ORV@OR9;H5J@YKLJR+VRA@YR+ORV@OR9;H5J@YKLJR+VRA@YR+ORV@OR9;H5J@YKLJR+VRA@YR+ORV@OR
9;H;>5J@YKLJR+VRA@YR+ORV@OR+@A+$2+A@+#5&99;H;>5J@YKLJR+VRA@YR+ORV@OR+@A+$2+A@+#5&99;H;>5J@YKLJR+VRA@YR+ORV@OR+@A+$2+A@+#5&99;H;>5J@YKLJR+VRA@YR+ORV@OR+@A+$2+A@+#5&9
1XQPOR+MRS\@YWM@?+Y@AR+WR+SRMRJOP[+VJ@Y@AOP]P[R+P+PQ@\R]PK@[+@A+X[JLQLO@?V@\PLNP\LOR+AP[LOQPKR+:a:==h9H= 2mm +@A+$2+A@+#5&9+PQO@WP+99;H;95J@YKLJR+VRA@YR+ORV@OR+@A++#5&9+A@+#5&>9;H;95J@YKLJR+VRA@YR+ORV@OR+@A++#5&9+A@+#5&>9;H;95J@YKLJR+VRA@YR+ORV@OR+@A++#5&9+A@+#5&>
1XQPOR+MRS\@YWM@?+Y@AR+WR+SRMRJOP[+VJ@Y@AOP]P[R+P+PQ@\R]PK@[+@A+X[JLQLO@?V@\PLNP\LOR+AP[LOQPKR+:a:== 2mm h9H=+@A+#5&9+A@+#5&>+PQO@WP+>9+[;5@AVJLNV@WNRYM@[+AR+WX+OR+@YRK+MRS\+VJPM\KX]LOL+9+Q?JRAL+WR+KLAO@YJL[LO@[+WOR?@[
WP zj 1639942 =5RA+ORV@OR+PQ[LfX+#5&9++P+#5&>++WL+JR]XOR+V@+PQJRQX
22
12
)(100
n
zjkpokpo U
lxtgrPu
+=
?AKL+WX36+J++V@AXQOP+@[WMP+@NV@J+++ km/6+a++V@AXQOP+POAXMNPYOP+@NV@J+++ km/6\+AXQPOR+Y@AR+++M[)Q+NRS\P]L+QR+VJ@Y@AOPML+VJLWKLMR+:==+ 2mm WL+XQP[R3
Jd=`=F ad=`=GC)Q+VJ@VPWRO@?+^RMN@JR+WOR?L+ 95,0cos = +W\PKLAP+ 32,0=tg.O@WLOKL[+SJ@KOPT+YJPKLAO@WNP+A@SPKR+WL+3
%11,0u 1kpo2kpo =
13
9;H;:+5J@YKLJR+VRA@YR+ORV@OR+@A++#5&>+A@+#5&9;H;:+5J@YKLJR+VRA@YR+ORV@OR+@A++#5&>+A@+#5&9;H;:+5J@YKLJR+VRA@YR+ORV@OR+@A++#5&>+A@+#5&9;H;:+5J@YKLJR+VRA@YR+ORV@OR+@A++#5&>+A@+#5&
1XQPOR+MRS\@YWM@?+Y@AR+WR+SRMRJOP[+VJ@Y@AOP]P[R+P+PQ@\R]PK@[+@A+X[JLQLO@?V@\PLNP\LOR+AP[LOQPKR+b:a:==h9H=c+ 2mm +@A+#5&>+A@+#5&+PQO@WP+>9+[;5@AVJLNV@WNRYM@[+AR+WX+OR+@YRK+MRS\+VJPM\KX]LOR+>+Q?JRAR+WR+KLAO@YJL[LO@[+WOR?@[
WP zj 944942 =5RA+ORV@OR+PQ[LfX+#5&>++P+#5&++WL+JR]XOR+V@+PQJRQX
22
1
)(100
n
zjkpokpo U
lxtgrPu
+=
?AKL+WX36+J++V@AXQOP+@[WMP+@NV@J+++ km/6+a++V@AXQOP+POAXMNPYOP+@NV@J+++ km/6\+AXQPOR+Y@AR+++M[)Q+NRS\P]L+QR+VJ@Y@AOPML+VJLWKLMR+:==+ 2mm WL+XQP[R3
Jd=`=F ad=`=GC)Q+VJ@VPWRO@?+^RMN@JR+WOR?L+ 95,0cos = +W\PKLAP+ 32,0=tg.O@WLOKL[+SJ@KOPT+YJPKLAO@WNP+A@SPKR+WL+3
%062,0u kpo1kpo =
9;H;H+5J@YKLJR+VRA@YR+ORV@OR+@A++#5&+A@+8%&9;H;H+5J@YKLJR+VRA@YR+ORV@OR+@A++#5&+A@+8%&9;H;H+5J@YKLJR+VRA@YR+ORV@OR+@A++#5&+A@+8%&9;H;H+5J@YKLJR+VRA@YR+ORV@OR+@A++#5&+A@+8%&
1XQPOR+MRS\@YWM@?+Y@AR+WR+SRMRJOP[+VJ@Y@AOP]P[R+P+57*+PQ@\R]PK@[++AP[LOQPKR+F2mm +@A+#5&+A@+8%&+PQO@WP+9=+[;5@A+VJLNV@WNRYM@[+AR+WX+OR+@YRK+MRS\+VJPM\KX]LOR+:
WNROR+WR+KLAO@YJL[LO@[+WOR?@[W24077P s3j =
5RA+ORV@OR+PQ[LfX+#5&++P+8%&++WL+JR]XOR+V@+PQJRQX
2
)(100
n
jsmrokpo U
lxtgrPu
+=
?AKL+WX36+J++V@AXQOP+@[WMP+@NV@J+++ km/6+a++V@AXQOP+POAXMNPYOP+@NV@J+++ km/6\+AXQPOR+Y@AR+++M[)Q+NRS\P]L+QR+VJ@Y@AOPML+VJLWKLMR+>F+ 2mm WL+XQP[R3
Jd>`>H ad=`=C)Q+VJ@VPWRO@?+^RMN@JR+WOR?L+ 95,0cos = +W\PKLAP+ 32,0=tg.O@WLOKL[+SJ@KOPT+YJPKLAO@WNP+A@SPKR+WL+3
%38,0=mrokpou
14
9;H;
15
:;+5J@JR]XO+WNJXKR+MJRNMPT+WV@KLYR+P+VJ@YKLJR+QRWNPNL:;+5J@JR]XO+WNJXKR+MJRNMPT+WV@KLYR+P+VJ@YKLJR+QRWNPNL:;+5J@JR]XO+WNJXKR+MJRNMPT+WV@KLYR+P+VJ@YKLJR+QRWNPNL:;+5J@JR]XO+WNJXKR+MJRNMPT+WV@KLYR+P+VJ@YKLJR+QRWNPNL
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++:;>++++:;>++++:;>++++:;>++++#JRNRM+WV@K+OR+$2#JRNRM+WV@K+OR+$2#JRNRM+WV@K+OR+$2#JRNRM+WV@K+OR+$2
5@ARNR]P+@+NJROW^@J[RN@JX+M@KP+ORVRKR+Q?JRAX+WX3F:=+M7-+l+>=B=;H9+M7BM7+l+ kW5.6PCun = +l+ kW3.1P 0Fe = +l+ %6u k =
%03.1100S
Pu
n
Cunr == +++++++l %91.5uuu
2r
2kx =
+%LQPWNROWR+NJROW^@J[RN@JR+PQO@WP3
=
= m62.2
US
PR 2
n
n
CunT
%LRMNROWR+NJROW^@J[RN@JR+PQO@WP3
== m15S100
UuXn
2nx
T
)[VLAROWR+MJRNM@?+WV@KR+JR]XOR+WL+VJL[R+PQJRQX3
=+= m2.15XRZ 2T2T
d
2NJXKR+NJ@V@\O@?+MJRNM@?+WV@KR+WL+JR]XOR+VJL[R+PQJRQX3
dnf
pks3 ZUI =
kA140152.0220I pks3 ==
5@WN@+KL+QR+@WP?XJR]+ A335Io = bNPV+(c+`X+$2`+WNJXKR+VJLMPAR+MJRNM@?+WV@KR
16
%LQPWNROWR+P+JLRMNROWROWR++Y@AR+b$26#5&c+PQO@WL3
= m94.2R 1V +l++l++l++l+ = m871.3X 1V
=+=+= m23.13049.007.0394.2R3RR N1V10V
== m6,11X3X 1V10V
1XQPOR+MRS\@YWM@?+Y@AR` 2mm)16x5( `+@A+#5&+A@+8%&+KL+9=[;
%LQPWNROWR+P+JLRMNROWROWR++Y@AR+b#5&68%&c+PQO@WL3
= m8.22R 2V +l++l++l++l+ = m8.1X 2V
== m4.42R86.1R 2V20V +l++l++l++l+ == m6.30X17X 2V20V.MXVOL+P[VLAROWL+PQO@WL3
d2V
d1V
dT
d ZZZZ ++=
02V
01V
0T
0 ZZZZ ++=
id ZZ =
=+= m)21j28(Zd
=+= m)31j58(Z0
2NJXKR+KLAO@V@\O@?+MJRNM@?+WV@KR+WL+JR]XOR+V@+PQJRQX3
01
3ZZZ
UI id
nfpks
++
=
AI pks 4880135.02203
1 =
=
)Q+APKR?JR[R+b)`Nc+QR+@WP?XJR]+X+#5&bNPV+1+ A60Io = c`WL+YPAP+AR+]L+@WP?XJR]+JLR?@YRNP+QRNdddd=;==9+W+`WN@+KL+[ROKL+@A+VJ@VPWROPT+=;HW;DOR]P+AR+@WP?XJR]+QRA@Y@\KRYR+XW\@YL;
:;:+#JRNRM+WV@K+OR+%&:;:+#JRNRM+WV@K+OR+%&:;:+#JRNRM+WV@K+OR+%&:;:+#JRNRM+WV@K+OR+%&
1XQPOR+MRS\@YWM@?+Y@AR` 2mm)6x5( ````+@A+8%&+A@+%&+KL+>9[;
+%LQPWNROWR+P+JLRMNROWROWR++Y@AR+b8%&6%&c+PQO@WL3
= m35R 3V +l++l++l++l+ = m2.1X 3V
17
==+= m140R4R3RR 3VN3V30V
== m6.3X3X 3V30V.MXVOL+P[VLAROWL+PQO@WL3
d3V
d2V
d1V
dT
d ZZZZZ +++=
03V
02V
01V
0T
0 ZZZZZ +++=
id ZZ =
+= m)22j63(Zd
+= m)34j198(Z0
2NJXKR+KLAO@V@\O@?+MJRNM@?+WV@KR+WL+JR]XOR+V@+PQJRQX3
01
3ZZZ
UI id
nfpks
++=
AI pks 1980333.02203
1 =
=
)Q+APKR?JR[R+b)`Nc+QR+@WP?XJR]+X+8%&bNPV+1+ A25Io = c`WL+YPAP+AR+]L+@WP?XJR]+JLR?@YRNP+QRNd=;==9W+`WN@+KL+[ROKL+@A+VJ@VPWROPT+=;HW;DOR]P+AR+@WP?XJR]+QRA@Y@\KRYR+XW\@YL;
:;H+#JRNRM+WV@K+OR+V@NJ@WR]P[R:;H+#JRNRM+WV@K+OR+V@NJ@WR]P[R:;H+#JRNRM+WV@K+OR+V@NJ@WR]P[R:;H+#JRNRM+WV@K+OR+V@NJ@WR]P[R
5@W[RNJR]L[@+ORKMJPNP]OPKP+W\X]RK`QR+ORKXAR\KLOPKP+V@NJ@WR];
1XQPOR+MRS\@YWM@?+Y@AR` 2)5,13( mmx `ORKXAR\KLOPKL?+V@NJ@WR]R+KL+9=[;
+%LQPWNROWR+P+JLRMNROWROWR++V@NJ@WR]M@?+Y@AR+PQO@WL3
= mRV 2384 +l++l++l++l+ = mX V 34.43
==+= mRRRR VNVV 95243 4440
== mXX VV 143 440.MXVOL+P[VLAROWL+PQO@WL3
dV
dV
dV
dV
dT
d ZZZZZZ 4321 ++++=
04
03
02
01
00VVVVT ZZZZZZ ++++=
18
id ZZ =
+= mjZ d )27302(
+= mjZ )48952(0
2NJXKR+KLAO@V@\O@?+MJRNM@?+WV@KR+WL+JR]XOR+V@+PQJRQX3
01
3ZZZ
UI id
nfpks
++=
AI pks 423558.12203
1 =
=
.+%&+WX+X?JRfLOP+RXN@[RNWMP+@WP?XJR]P+NPVR+/;DR+@WP?XJR]+ AI 100 = +PQ+b)`Nc+APKR?JR[R@]PNR[@+YJPKL[L+JLR?@YROKR+Nd=;=9W+WN@+KL+[ROKL+@A+A@QY@\KLOPT+=;HW;DOR]P+AR+@WP?XJR]PQRA@Y@\KRYRKX+XW\@YL+V@+VPNROKX+QRWNPNL;
19
H;25!*),)#-*)0-+8-$!%)0-"-H;25!*),)#-*)0-+8-$!%)0-"-H;25!*),)#-*)0-+8-$!%)0-"-H;25!*),)#-*)0-+8-$!%)0-"-
DR+KLARO+WNRO3DR+KLARO+WNRO3DR+KLARO+WNRO3DR+KLARO+WNRO3++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++M@[;>;JRQY@AOR+NRS\REEEEEEEEEEE;;E+++>9;L\;SJ@KP\@EEEEEEEEEEEEEE;;;+++>:;RXN@[RNWMP+@WP?XJR]P>=-;EEEE;E;;E;;;;;+++:H;RXN@[RNWMP+@WP?XJR]P>F-EEEEEEEE;++>:
G;KLAO@V@\OP+VJLMPAR]EEEEEEEEEE;;+++=;QRWNPNPOP+XJfRK+AP^LJLO]PKR\OL+QRWNPNLEE;;;E;;++>>>;QY@O]L;EEEEEEEEEEEEEEE;++>>9;NRWNLJ+QY@O]REEEEEEEEEEEEE+++>>:;VJ@Y@AOPM+556g+:a9`H;VJ@Y@AOPM+556g+:a>`