El.instalacija i Osvjetljenja

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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!#-$5%&0!#-$

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    ++++++/-(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

  • 1>;>;>;>; 5J@KLMNOP+QRARNRM+SJ@K+==:=BC
  • 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 =

  • 99;:;
  • 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>`