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"8?>2K5 7>=K 70I8BK AB5@6=52KE 8 B@>A>2KE <>;=85>B2>4>2 3.3.2.1. >=K 70I8BK >48=>G=>3> AB5@6=52>3> <>;=85>B2>40 !B0=40@B=>9 7>=>9 70I8BK >48=>G=>3> AB5@6=52>3> <>;=85>B2>40 2KA>B>9 h O2;O5BAO :@C3>2>9 :>=CA 2KA>B>9 h0 < h, 25@H8=0 :>B>@>3> A>2?0405B A 25@B8:0;L=>9 >ALN <>;=85>B2>40 (@8A. 3.1) <*>. 010@8BK 7>=K >?@545;ONBAO 42C<O ?0@0<5B@0<8: 2KA>B>9 :>=CA0 h0 8 @048CA>< :>=CA0 =0 C@>2=5 75<;8 r0. ------------------------------------ <*> 45AL 8 40;55 @8AC=:8 =5 ?@82>4OBAO. @82545==K5 =865 @0AG5B=K5 D>@<C;K (B01;. 3.4) ?@83>4=K 4;O <>;=85>B2>4>2 2KA>B>9 4> 150 <. @8 1>;55 2KA>:8E <>;=85>B2>40E A;54C5B ?>;L7>20BLAO A?5F80;L=>9 <5B>48:>9 @0AG5B0. "01;8F0 3.4 !'" + )"+ ' !"  " %%%%%%%%%%%,%%%%%%%%%%%%%%,%%%%%%%%%%%%%%%%%%%%,%%%%%%%%%%%%%%%%%%%%% %0456=>ABL% KA>B0 %KA>B0 :>=CA0 h0, <% 048CA :>=CA0 r0, <% %70I8BK 7 %<>;=85>B2>40 % % % % % h, < % % % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% %0,9 %B 0 4> 100 %0,85h %1,2h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % % -3 % % %B 100 4> 150%0,85h %[1,2 - 10 x % % % % %(h - 100)] x h % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% %0,99 %B 0 4> 30 %0,8h %0,8h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % % -3 % % %B 30 4> 100 %0,8h %[0,8 - 1,43 x 10 % % % % %x (h - 30)] x h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % -3 % % % %B 100 4> 150%[0,8 - 10 x %0,7h % % % %(h - 100)] x h % % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% %0,999 %B 0 4> 30 %0,7h %0,6h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % -4 % -3 % % %B 30 4> 100 %[0,7 - 7,14 x 10 %[0,6 - 1,43 x 10 % % % %x (h - 30)] x h %x (h - 30)] x h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % -3 % -3 % % %B 100 4> 150%[0,65 - 10 x %[0,5 - 2 x 10 x % % % %(h - 100)] x h %(h - 100)] x h % %%%%%%%%%%%4%%%%%%%%%%%%%%4%%%%%%%%%%%%%%%%%%%%4%%%%%%%%%%%%%%%%%%%%% ;O 7>=K 70I8BK B@51C5<>9 =0456=>AB8 (@8A. 3.1) @048CA 3>@87>=B0;L=>3> A5G5=8O rE =0 2KA>B5 hx >?@545;O5BAO ?> D>@<C;5: r0 x (h0 - hx) rx = -------------- (3.1) h0 3.3.2.2. >=K 70I8BK >48=>G=>3> B@>A>2>3> <>;=85>B2>40 !B0=40@B=K5 7>=K 70I8BK >48=>G=>3> B@>A>2>3> <>;=85>B2>40 2KA>B>9 h >3@0=8G5=K A8<<5B@8G=K<8 42CA:0B=K<8 ?>25@E=>ABO<8, >1@07CNI8<8 2 25@B8:0;L=>< A5G5=88 @02=>154@5==K9 B@5C3>;L=8: A 25@H8=>9 =0 2KA>B5 h0 < h 8 >A=>20=85< =0 C@>2=5 75<;8 2r0 (@8A. 3.2). @82545==K5 =865 @0AG5B=K5 D>@<C;K (B01;. 3.5) ?@83>4=K 4;O <>;=85>B2>4>2 2KA>B>9 4> 150 <. @8 1>;LH59 2KA>B5 A;54C5B ?>;L7>20BLAO A?5F80;L=K< ?@>3@0<<=K< >15A?5G5=85<. 45AL 8 40;55 ?>4 h ?>=8<05BAO <8=8<0;L=0O 2KA>B0 B@>A0 =04 C@>2=5< 75<;8 (A CG5B>< ?@>25A0). "01;8F0 3.5 !'" + )"+ ' " ! " %%%%%%%%%%%,%%%%%%%%%%%%%%,%%%%%%%%%%%%%%%%%%%%,%%%%%%%%%%%%%%%%%%%%% %0456=>ABL% KA>B0 %KA>B0 :>=CA0 h0, <% 048CA :>=CA0 r0, <% %70I8BK 7 %<>;=85>B2>40 % % % % % h, < % % % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% %0,9 %B 0 4> 150 %0,87h %1,5h % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% %0,99 %B 0 4> 30 %0,8h %0,95h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % % -4% % %B 30 4> 100 %0,8h %[0,95 - 7,14 x 10 % % % % %x (h - 30)] x h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % % -3 % % %B 100 4> 150%0,8h %[0,9 - 10 x % % % % %(h - 100)] x h % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% %0,999 %B 0 4> 30 %0,75h %0,7h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % -4% -3 % % %B 30 4> 100 %[0,75 - 4,28 x 10 %[0,7 - 1,43 x 10 % % % %x (h - 30)] x h %x (h - 30)] x h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % -3 % -3 % % %B 100 4> 150%[0,72 - 10 x %[0,6 - 10 x % % % %(h - 100)] x h %(h - 100)] x h % %%%%%%%%%%%4%%%%%%%%%%%%%%4%%%%%%%%%%%%%%%%%%%%4%%%%%%%%%%%%%%%%%%%%% >;CH8@8=0 rx 7>=K 70I8BK B@51C5<>9 =0456=>AB8 (@8A. 3.2) =0 2KA>B5 hx >B ?>25@E=>AB8 75<;8 >?@545;O5BAO 2K@065=85<: r0 x (h0 - hx) rx = -------------- (3.2) h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max.  ?@>B82=>< A;CG05 >10 <>;=85>B2>40 @0AA<0B@820NBAO :0: >48=>G=K5. >=D83C@0F8O 25@B8:0;L=KE 8 3>@87>=B0;L=KE A5G5=89 AB0=40@B=KE 7>= 70I8BK 42>9=>3> AB5@6=52>3> <>;=85>B2>40 (2KA>B>9 h 8 @0AAB>O=85< L <564C <>;=85>B2>40<8) ?@54AB02;5=0 =0 @8A. 3.3. >AB@>5=85 2=5H=8E >1;0AB59 7>= 42>9=>3> <>;=85>B2>40 (?>;C:>=CA>2 A 3010@8B0<8 h0, r0) ?@>872>48BAO ?> D>@<C;0< B01;. 3.4 4;O >48=>G=KE AB5@6=52KE <>;=85>B2>4>2. 07<5@K 2=CB@5==8E >1;0AB59 >?@545;ONBAO ?0@0<5B@0<8 h0 8 hA, ?5@2K9 87 :>B>@KE 70405B <0:A8<0;L=CN 2KA>BC 7>=K =5?>A@54AB25==> C <>;=85>B2>4>2, 0 2B>@>9 - <8=8<0;L=CN 2KA>BC 7>=K ?>A5@548=5 <564C <>;=85>B2>40<8. @8 @0AAB>O=88 <564C <>;=85>B2>40<8 L <= Lc 3@0=8F0 7>=K =5 8<55B ?@>25A0 (hA = h0). ;O @0AAB>O=89 Lc <= L <= Lmax 2KA>B0 hA >?@545;O5BAO ?> 2K@065=8N: Lmax - L hc = --------- x h0 (3.3) Lmax - Lc E>4OI85 2 =53> ?@545;L=K5 @0AAB>O=8O Lmax 8 Lc 2KG8A;ONBAO ?> M<?8@8G5A:8< D>@<C;0< B01;. 3.6, ?@83>4=K< 4;O <>;=85>B2>4>2 2KA>B>9 4> 150 <. @8 1>;LH59 2KA>B5 <>;=85>B2>4>2 A;54C5B ?>;L7>20BLAO A?5F80;L=K< ?@>3@0<<=K< >15A?5G5=85<. "01;8F0 3.6 !'"  "  + )"+  !"  " %%%%%%%%%%%,%%%%%%%%%%%%%%,%%%%%%%%%%%%%%%%%%%%%%,%%%%%%%%%%%%%%%%%%% %0456=>ABL% KA>B0 % Lmax, < % Lc, < % %70I8BK 7 %<>;=85>B2>40 % % % % % h, < % % % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%$% %0,9 %B 0 4> 30 %5,75h %2,5h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%$% % % % -3 % % % %B 30 4> 100 %[5,75 - 3,57 x 10 x%2,5h % % % %(h - 30)] x h % % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%$% % %B 100 4> 150%5,5h %2,5h % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%$% %0,99 %B 0 4> 30 %4,75h %2,25h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%$% % % % -3 % % % %B 30 4> 100 %[4,75 - 3,57 x 10 x%[2,25 - 0,01007 E% % % %(h - 30)] x h %(h - 30)] x h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%$% % %B 100 4> 150%4,5h %1,5h % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%$% %0,999 %B 0 4> 30 %4,25h %2,25h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%$% % % % -3 % % % %B 30 4> 100 %[4,25 - 3,57 x 10 x%[2,25 - 0,01007 E% % % %(h - 30)] x h %(h - 30)] x h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%$% % %B 100 4> 150%4,0h %1,5h % %%%%%%%%%%%4%%%%%%%%%%%%%%4%%%%%%%%%%%%%%%%%%%%%%4%%%%%%%%%%%%%%%%%%% 07<5@K 3>@87>=B0;L=KE A5G5=89 7>=K 2KG8A;ONBAO ?> A;54CNI8< D>@<C;0<, >1I8< 4;O 2A5E C@>2=59 =0456=>AB8 70I8BK: <0:A8<0;L=0O ?>;CH8@8=0 7>=K rE 2 3>@87>=B0;L=>< A5G5=88 =0 2KA>B5 hx: r0 x (h0 - hx) rx = -------------- (3.4) h0 4;8=0 3>@87>=B0;L=>3> A5G5=8O lx =0 2KA>B5 hx >= hc: L x (h0 - hx) lx = ------------- (3.5) 2 x (h0 - hc) ?@8G5< ?@8 hx < hc, lx = L / 2; H8@8=0 3>@87>=B0;L=>3> A5G5=8O 2 F5=B@5 <564C <>;=85>B2>40<8 2rAE =0 2KA>B5 hx <= hc: r0 x (hc - hx) rcx = -------------- (3.6) hc 3.3.2.4. >=K 70I8BK 42>9=>3> B@>A>2>3> <>;=85>B2>40 >;=85>B2>4 AG8B05BAO 42>9=K<, :>340 @0AAB>O=85 <564C B@>A0<8 L =5 ?@52KH05B ?@545;L=>9 25;8G8=K Lmax.  ?@>B82=>< A;CG05 >10 <>;=85>B2>40 @0AA<0B@820NBAO :0: >48=>G=K5. >=D83C@0F8O 25@B8:0;L=KE 8 3>@87>=B0;L=KE A5G5=89 AB0=40@B=KE 7>= 70I8BK 42>9=>3> B@>A>2>3> <>;=85>B2>40 (2KA>B>9 h 8 @0AAB>O=85< <564C B@>A0<8 L) ?@54AB02;5=0 =0 @8A. 3.4. >AB@>5=85 2=5H=8E >1;0AB59 7>= (42CE >4=>A:0B=KE ?>25@E=>AB59 A 3010@8B0<8 h0, r0) ?@>872>48BAO ?> D>@<C;0< B01;. 3.5 4;O >48=>G=KE B@>A>2KE <>;=85>B2>4>2. 07<5@K 2=CB@5==8E >1;0AB59 >?@545;ONBAO ?0@0<5B@0<8 h0 8 hc, ?5@2K9 87 :>B>@KE 70405B <0:A8<0;L=CN 2KA>BC 7>=K =5?>A@54AB25==> C B@>A>2, 0 2B>@>9 - <8=8<0;L=CN 2KA>BC 7>=K ?>A5@548=5 <564C B@>A0<8. @8 @0AAB>O=88 <564C B@>A0<8 L <= Lc 3@0=8F0 7>=K =5 8<55B ?@>25A0 (hc = h0). ;O @0AAB>O=89 Lc <= L <= Lmax 2KA>B0 hc >?@545;O5BAO ?> 2K@065=8N: Lmax - L hc = --------- x h0 (3.7) Lmax - Lc E>4OI85 2 =53> ?@545;L=K5 @0AAB>O=8O Lmax 8 Lc 2KG8A;ONBAO ?> M<?8@8G5A:8< D>@<C;0< B01;. 3.7, ?@83>4=K< 4;O B@>A>2 A 2KA>B>9 ?>425A0 4> 150 <. @8 1>;LH59 2KA>B5 <>;=85>B2>4>2 A;54C5B ?>;L7>20BLAO A?5F80;L=K< ?@>3@0<<=K< >15A?5G5=85<. 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" %%%%%%%%%%%,%%%%%%%%%%%%%%,%%%%%%%%%%%%%%%%%%%%,%%%%%%%%%%%%%%%%%%%%% %0456=>ABL% KA>B0 % Lmax, < % LA, < % %70I8BK 7 %<>;=85>B2>40 % % % % % h, < % % % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% %0,9 %>B 0 4> 150 %6,0h %3,0h % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% %0,99 %>B 0 4> 30 %5,0h %2,5h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % % -3 % % %>B 30 4> 100 %5,0h %[2,5 - 7,14 x 10 % % % % %x (h - 30)] x h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % -3 % -3 % % %>B 100 4> 150%[5,0 - 5 x 10 x %[2,0 - 5 x 10 x % % % %(h - 100)] x h %(h - 100)] x h % %%%%%%%%%%%<%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% %0,999 %>B 0 4> 30 %4,75h %2,25h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % -3% -3% % %>B 30 4> 100 %[4,75 - 3,57 x 10 %[2,25 - 3,57 x 10 % % % %x (h - 30)] x h %x (h - 30)] x h % % %%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%<%%%%%%%%%%%%%%%%%%%%$% % % % -3 % -3 % % %>B 100 4> 150%[4,5 - 5 x 10 x %[2,0 - 5 x 10 x % % % %(h - 100)] x h %(h - 100)] x h % %%%%%%%%%%%4%%%%%%%%%%%%%%4%%%%%%%%%%%%%%%%%%%%4%%%%%%%%%%%%%%%%%%%%% ;8=0 3>@87>=B0;L=>3> A5G5=8O 7>=K 70I8BK =0 2KA>B5 hx >?@545;O5BAO ?> D>@<C;0<: lx = L / 2 ?@8 hc >= hx L x (h0 - hx) lx = ------------- ?@8 0 < hc < hx (3.8) 2 x (h0 - hc) ;O @0AH8@5=8O 70I8I05<>3> >1J5<0 =0 7>=C 42>9=>3> B@>A>2>3> <>;=85>B2>40 <>65B 1KBL =0;>65=0 7>=0 70I8BK >?>@, =5ACI8E B@>AK, :>B>@0O AB@>8BAO :0: 7>=0 42>9=>3> AB5@6=52>3> <>;=85>B2>40, 5A;8 @0AAB>O=85 L <564C >?>@0<8 <5=LH5 Lmax, 2KG8A;5==>3> ?> D>@<C;0< B01;. 3.6.  ?@>B82=>< A;CG05 >?>@K 4>;6=K @0AA<0B@820BLAO :0: >48=>G=K5 AB5@6=52K5 <>;=85>B2>4K. >340 B@>AK =5?0@0;;5;L=K 8;8 @07=>2KA>:8, ;81> 8E 2KA>B0 87<5=O5BAO ?> 4;8=5 ?@>;5B0, 4;O >F5=:8 =0456=>AB8 8E 70I8BK A;54C5B 2>A?>;L7>20BLAO A?5F80;L=K< ?@>3@0<<=K< >15A?5G5=85<. 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