ࡱ> []TUVWXYZJgxx z [ >bjbj ΐΐA OOOOOccc8< "c(Hc(RF(FFF3C5C5C5C5C5C5CILj5COH5COOFFGOFOF3C3C6(>F ycV ;pCG0(Hw;MvM>MO>5C5C4(HM : 9;42M@89= 40= 10@8;3K= E=4;= @0<K= AB0B8: B>>F>> ">>F>>=K =4AM= 334;4 9;422M@89= 40= 10@8;30 =L  EMBED Equation.3 =21<,  EMBED Equation.3 =21< E>Q@ 0;A;0;B09. 030=K= 0;E0< =12<, B5<?5@0BC@K= 1;>:89= C@B - 54<. &5E89= 0;A;0; 1@4 Q=20B-K= @3E 400FB09 2 3@M= :@0= 068;;0=0. 0@8;3K= H0;=00A @5;LA89= B>;3>9 E@B;ME= 709 -10<. %@A=89 MAM@3FM; 3.42. 0<=K 142G - 1, 4MM2M@  E9BM=. 0@8;30 =L 5@489= 4C;00=K 3>@8<B>9, II 0=389= 10@8;30. %=4;= @0<K= M;5<5=B4893 A>=3>E 0@8;3K= ECG8;BK= 400FK= 1BMMFM4  EMBED Equation.3 =21<,  EMBED Equation.3 =21<-89= A53<5=BM= B0B0=30, 3E12<-89= C@@L4G8;0= EG8B3MAM= B<@ 15B>= E028@30B E02B0=3 BCA BCA A>=3>= 02JO. @0=K 4>>4 40< =C@CC=4 1.4 < =4@ C@L4G8;0= EG8B3MAM= 0@<0BC@B09 B<@ 15B>= 40< =C@CC, 304=0 E0=0=4 40 A< 7C700= 12 < C@BB09 :5@0<78B 15B>= E0=K= E02B300;6 B028E00@ B>>F;>>. 030=K= =4@893 A>=3>E 030=K= =4@893 4>@ 4C@L4A0= EM<6MMA4893 =4MA;M= A>=3>=>. =4: (0;=K B2H=A @5;LA89= B>;3>9 E@B;ME 709& & & & & ..10< @M= :@0=K =4@& & & & & & & & & & & & & &  EMBED Equation.3 2.4< @M= :@0=K 4>>4  -70 @5;LA89= =4@& & & ... EMBED Equation.3 =0.15< "0B0=30, 3@M= :@0=K E>>@>=4K= 709& & & & & & .01=0.15< @0=K 4>>4 40<=C@CC=K =4@& & & & & & & & &  EMBED Equation.3 =1.4< !CC@89= 4>>4 8@<M389= B2H8=& & & & & & & & & -0.15< 030=K= /:>=A>;8>A 4>>H8E/ 4>>4 EMA389= =4@893 >;JQ. 1=10-(hA2+hr)+0.15=10-(1.4+0.15)+0.15=8.6< 030=K= :>A>;8>A 4MMH8E 4MM4 =4@ 2=hcr+hA2+hr+0.150=2.4+1.4+0.15+0.15=4.1< 2=4.2 < MM@ A>=3>6 02JO. 030=K= B>>F>>=K =4@ =1+2=8.6+4.2=12.8< 030=K ACC@LB =L Hr=0.85< 3= ACC;30E00@ 1>4>6 1030=K= =89B =4@893 >;JQ. Htol=H+Hr=12.8+0.85=13.65< 030=K= E=4;= >3B;>;K= EM<6MM3 A>=3>E 0@8;3K= 70EK= 1030=K= BM=E;M3893 250<<-89= E>;1>;BB>9 A>=3>= 02JO.  EMBED Equation.3  =750<<. 0EK= 1030=K= >3B;>;K= =4@893 ECG8;BK= 400FK= M;5<5=B 1030=0 4MM@ ACCE =EF;893 =4MA;M= h2= 600 << 00@ A>=3>= 02JO. 0EK= 1030=K= 4>>4 EMA389= >3B;>;K= =4@893 B=89 EH=89 =EF;893 1>4>;F2>; h1 =(1/10..1/14)H1=(1/10& 1/14)860=86& 61A<-MM@ A>=3>E 1>;><6B>9 109=0. h1 =80 A< MM@ >3B;>;K= @3=893 2=60A<-00@ A>=3>Q. C=4 1030=K= 4MM4 EMA389= E=4;= >3B;>;K3 70EK= 1030=K=EB09 048; 2Eh2=500*600<<-MM@ 02JO. %0@8= 4>>4 EMA389u E>Q@ A0;00B09 02G 3@M= :@0=K 0G00 A0;00=K 35><5B@89= BM=E;M3BM9 402EFE00@ 0210; 1030=K= >3B;>;K= 1E 10BK= =EF;4 8; B>E8@><6B>9 109EK3 1>4>;F>= M=M =F;893 H0;30O. h1=2 EMBED Equation.3 =2*750+250=1750<< @0=K @3E 400F Q<30B 10 H0;=00A :@0=K 70<K= @5;LA89= B>;3>9 E@B;ME 709 B489 8E 18H (10<) B>E8>;4>;4 1030=K= >3B;>;K= =4@893 4MM@E EM<6MM=MMA 10300@ BCE09;10; h1=1200<<-00@ A>=3>E 1>;>;F>>B>9 N<. 9<4 MFMA;M= A>=3>A>= EC28;10@ =L: bxh1=500x1200 << C=4 1030=K= 4>>4 EMA389= A0;00=K >3B;>;K= =4@ , @3= 1>;>= A0;00 E>>@>=4K= E>;1>>AK= >3B;>;, BM43MM@89= E>>@>=4K= 7093 1-@ 7C@03B 7;A=MM@ A>=3>= 02;00.  600 600  1-1  4200 1 1 4200 600  4-4  600  900  600  13650 2000 2-2  600  3 3 600  8600 2000 12000  2 2 800  3-3  2000  16200 850 2000 600   950  700  1200 1200 1-@ 7C@03. 0EK= 10 4C=4 1030=K 35><5B@ EM<6MM=4 %0=K= E02B0= 10 F>=E=K =4@893 A>=3>E 0@8;30 =L 40 A< 7C700= , 12 < C@B :5@0<78B 15B>= 468= E02B0= E0=0, BCC70= F>=EB>9 109E 134 E0=K= E02B0=3 7.25 <-89= B2H8=4 1030=0=4 1ME;M=M. 9< B>E8>;4>;4 B=MMA 4>>H8E E0=0 1>;>= F>=E=K H8;M;3MM=89 68=389= 0G00 ACC@89= 40< =C@CC=4 9;G8;=M. %0=K= E02B0=K =4@89= EM<6MM 60A< 89= 402B0;BB09 109E 10 10930;89= 3M@M;B;M3 3E 7>@8;3>>@ 3@M= :@0=K >@G8<4 F>=E 30@30E , <= 10@8;3K= E0O2G84 307@00A 4MMH 180 A<-00A 103039 =4@ E0=0 109E =L 79BM9 3M6 A>=3>2. 0<4 9;G;ME 0G003 B>4>@E>9;>E ">3B<>; 0G00 %CG8;BK= 0G00 MM2@89= ECG8;BK= =M3 H>> <5B@ B0;109= 0G003 1-@ EA=M3BM4 B>4>@E>9;;>>. MM2@89= ECG8;BK= 0G00 1-@ EA=M3B G00=K B@;>@<B 0G00 /<2G00=K =09420@68;BK= 8B3M;F@  EMBED Equation.3 ">>F>>=K 0G00 EMBED Equation.3 =1  EMBED Equation.3 >1 3E12< B<@15B>= E028@30B E02B0= /E02B0= E>>@>=4K= 15B>= G836MMA893 1>4>;FA>=/20501.120502255#C@ BCA300@;03G501.35065AD0;LB B@EMF / EMBED Equation.3  t=20<<3601.3360468#A BCA300@;0E 4MM2M@ /3 5 @C15@8>4/901.390117=255029050@8;3K= 7M@M3;M;89= =09420@68;BK= 8B3M;F@& & & .. EMBED Equation.3 =0.95 21< 0;A;0;B09 B<@ 15B>= A53<5=B B0B0=3K= <0AA& & 7.6B, 68=& & & 74.5: 12<-89= :@0=K 4>>4 40< =C@CC=K <0AA 11.7 B 68= & & ...115.0:  15380   4200   2400 4200   3000    5450 8450    1800 150 0.00     21000 21000             L/2 L/2 L/2 L/2  2-@ 7C@03 030=K E=4;= >3B;>;K= 1BMMF;M;89= 142G 10 1030=K 0G00;;K= B0;109 030=K= B>;3>94 8@ME B2;@A= 0G003 B>4>@E>9;JQ.  BM=EM;389= 1030=0=4 F=(2.905*12*21/2+74.5*0.5*1.1)*0.95=386.65:  BM=EM;389= 1030=0=4 F=(2.905*12*21+74.5*0.5*1.1)*0.95=773.31:  BM=EM;389= 1030=0=4 F=(2.905*12*21/2+74.5*0.5*1.1)*0.95=386.65: 04=0 E0=0 10 F>=E=K 68=389= B>>F>>=K 0G00 04=0 E0=K3 7.25< 1030=0=4 1MEM;AM= BC; C3 B2H8=3MMA 4MMH8E 0G00 1030=0=4 9;G8;=M. F=(g1 EMBED Equation.3 )B EMBED Equation.3 =(2.5*7.2+0.4*2.4)*1.1*0.95*12=237.76: -=4 g1=2.5:=/<2- =M3 H>> <5B@ E0=K= E02B0=389= 68= g2=0.4 :=/<2- F>=E=K 68=  EMBED Equation.3 < - E0=K= E02B0=389= =89;1M@ @3= 04=0 E0=0 10 F>=E=K 68=389= ACC@89= 40< =C@CC=4 9;G;ME 0G00 F =(2.5*1.8+0.4*5.45)*1.1*0.95*12=83.77: @0=K 4>>4 40< =C@CC 10 @5;LA89= <0AAK= B>>F>>=K 0G00 F=(Gn+Gp*B) EMBED Equation.3 =(115+1.5*12)*1.1*0.95=139: -=4 Gp= 1.5 :=/<  1 C@B00H <5B@ 70<K= 68= 030=K 68=389= B>>F>>=K 0G00 0EK= 1030=0=4: 030=K= 4MM4 EMA389= 68=389= B>>F>>=K 0G00 F=0.6*0.6*4.2*25*1.1*0.95=39.5: 030=K= 4>>4 EMA389= 68=389= B>>F>>=K 0G00 F=0.6*0.8*8.6*25*1.1*0.95=107.84: C=4 1030=0=4: 030=K= 4MM4 EMA389= 68=389= B>>F>>=K 0G00 F=0.6*0.6*4.2*25*1.1*0.95=39.5: 030=K= 4>>4 EMA389= 68=389= B>>F>>=K 0G00 F=0.6*0.8*8.6*25*1.1*0.95=107.84: "@ 0G00 &0A=K 0G00 0@8;3K= 4MM2M@ 4ME F0A=K 6834 B0@EA0= =>@<B 0G00 Sn=S0 EMBED Equation.3 =0.5*0.8=0.4:/< EMBED Equation.3  -=4  EMBED Equation.3 = 0.8-H8;68;B89= 8B3M;F@ (10@8;3K= 4MM2@89= =0;CC 120-00A 1030 E0<389= E9BM= 3 A0@K= A0;E8=K 4C=406 EC@4 V= 4 </A 3M6 7M6  EMBED Equation.3  8B3M;F@B 7>E8E 70A20@ E89=M. =1.2+0.1*v =1.2-0.1*4=0.8 BC;  EMBED Equation.3 *:=1*0.8=0.8) 0@8;3K= 1030=0=4 8@ME F0A=K B>>F>>=K 0G003 B>4>@E>9;JQ.  BM=EM;389= 1030=0=4: F=S EMBED Equation.3  EMBED Equation.3 =0.4*12*21/2*1.4*0.95=67.03:  BM=EM;389= 1030=0=4: F=S EMBED Equation.3 =0.4*12*21*0.95*1.4=134.06:  BM=EM;389= 1030=0=4: F=S EMBED Equation.3  EMBED Equation.3 =0.4*12*21/2*1.4*0.95=67.03: @0=K 0G00 @M= :@0=K @3E 400F & & & & & & & & & & & & .Q=20B @M= :@0=K 0;A;0;& & & & & & lcr=L1-2 EMBED Equation.3 =21-2*0.75=19.5< @0=K @3E 400F , 0;A;0;K3 =4MA;M= B>>F>>=4 709;H39 H00@4;030B09 40@00E 334;4893 3@M= :@0=K B>4>@E>9;>;B>>A 02;00. 2-@ EA=M3B @0=K B>4>@E>9;>;B19.5< 0;A;0;4@M= :@0=K <0AA& & & & & ..Gk(B)32.5@0=K @3= & & & & & & & & .(A<)260C3C9= E>>@>=4K= 709& & & & (A<)440"M@3M=FM@89= <0AA& & & & & & GB(B)8.5@M= :@0= 4C3C9= E0<389= 8E =>@<B 40@0;B& & & & & & & & & & Fn.max (:=)190.7@0=K 4C3C9= 10 40@0;B Fn.min=(Q+Gkp)/2-Fn.max (:=)54.7@M= :@0=K 4C3C9= B>>F>>B 40@0;B: Fmax= EMBED Equation.3 : Fmin= EMBED Equation.3 : "M@3M=FM@893 B>>@><7;>E>4 :@0=K =M3 4C3C9=4 AME B>>F>>=K EG:  EMBED Equation.3 : 030=0=4 9;G;ME 3@M= :@0=K 1>A>> 0G003 B>4>@E>9;>EK= BC;4 :@0=K 4>>4 40<=C@CC=K BC;3CC@K= @50:FK= =;=89 HC30< 1093CC;6 7M@M3FM= 068;;06 109300 E>Q@ :@0=K 4C3C9= 40@0;BK= 0G00300@ 0G00;JO. 12 12      Pn.max Pn.max    "C;3CC@K= @50:FK= =.H    Y1=0.633 1 Y2=0.841   Y3=0.475  7.6 4.4 1.9 4.4 5.7  3-@ 7C@03 @0=K 4>>4 40<=C@CC=K BC;3CC@K= @50:FK= =;=89 HC30< 10 B=893 0G00;A0= 10940;. 030=0=4 9;G;ME 3@M= :@0=K B>>F>>=K 0G003 B>4>@E>9;JQ.  EMBED Equation.3 199.28*0.85*2.95=499.7:  EMBED Equation.3 57.16*0.85*2.95=143.33: -=4  EMBED Equation.3 =0.85-0G00=K E>A;>;K= 8B3M;F@ @2= :@0=00A 4C=4 1030=0=4 8@ME B>>F>>=K 1>A>> 0G00 Dmax=499.7*2*0.7/0.85=823.04: -=4  EMBED Equation.3 =0.7  4@2= :@0=K 9;G;ME 589= E>A;>;K= 8B3M;F@ %>Q@ :@0= 7M@M3FM= 068;;06 109300 54 BM@3M=F@89= B>>@<>7=>>A 1030=0=4 8@ME EM2BMM G83;M;89= B>>F>>=K 0G00: =max EMBED Equation.3 =7.3*0.85*2.95=18.3: !0;E8=K 0G00 !0;E8=K 0G00=K 4C=406 1093CC;03G89= 307@K= 3040@3CC300A Z =4@ 4ME =>@<0B82 CB3K3 B>4>@E>9;JQ. 5 <5B@ =4@B Wm1=W0*k*c=230*0.75*0.8=138:/< EMBED Equation.3  10 <5B@ =4@B Wm2=W0*k*c=230*1*0.8=184:/< EMBED Equation.3  20 <5B@ =4@B Wm3=W0*k*c=230*1.25*0.8=230:/< EMBED Equation.3  -=4 W0=0.23 kPa=230H/<2- A0;E8=K =>@< 40@0;B -A0;E8=K 40@0;B 10@8;3K= =4@89= 403CC @G;34E893 1>4>;FA>= 8B3M;F@ . 10@8;3K= 704309 3070@ 1CNC  B@;89= 4M2A3M@ =CB03B 109E00@ B;2;A= 1>;=>. !- 0M@>48=0<8:89= 8B3M;F@. -=M 8B3M;F@ =L A0;E8= B0;4 A1=0.8 =;3 40;4 10@8;3K= C@B @3=89 10 =4@ @3=89 E0@LF00=00A E0<00@=0. H/2L=15.38/2*21=0.37<0.5 B/2L=84/42=2>1.0 =EF;4 A3=-0.5 !0;E8=K 4C=406 1093CC;03G89= 15.38< =4@B E0@30;70E CB3K3 B>4>@E>9;JQ. Wm4=Wm2+(Wm3-Wm2)=184+(230-184)/10*(15.38-10)=208.75/< EMBED Equation.3  12.8 < =4@B E0@30;70E CB30: Wm5=184+(230-184)/10*(12.8-10)=196.88/< EMBED Equation.3  0@8;3K= 1030=K= =4@89= 403CC 9;G;ME A0;E8=K 0G00=K EC2LA0E M@G<893 1030=K= ACC@LB B=BM9 048; <><5=B A3ME 6834 M@G<MM@ A>;JQ.   EMBED Equation.3 =103.77 +12.65  EMBED Equation.3 =196.88/< EMBED Equation.3  W=11.488:  2.65  +10.0  EMBED Equation.3 =184/< EMBED Equation.3   10.0 12.65  +5.0  EMBED Equation.3 =138.0/< EMBED Equation.3     EMBED Equation.3 0.00  4-@ 7C@03 !0;E8=K 0G00=K M@G8<  EMBED Equation.3  !0;E8=K =;3 B0;K= M@G8<: Wmp= EMBED Equation.3 0.5/0.8*103.77=64.86/< EMBED Equation.3  12.65< =4@ 1030=0=4 (1030=K= B>>F>>=K C@B =12.8< ) 9;G;ME A0;E8=K 6834 B0@EA0= B>>F>>=K 0G00=K M@G<893 B>4>@E>9;JQ. !0;E8=K B0;4 P=Wm*B EMBED Equation.3 103.77*12*1.4*0.95=1656.17H/< !0;E8=K =;B B0;4: @=64.86*12*1.4*0.95=1035.17/<  EMBED Equation.3 -A0;E8=K 0G00=K =09420@68;BK= 8B3M;F@ 12.65< 4MMH8E A0;E8=K 0G003 1030=K= B>;3>94 9;G;ME B2;@A= 0G00 1>;3>= 02=0.  EMBED Equation.3  9;42M@89= 40= 10@8;3K= 1030=CC404 9;G;ME EG=489= M:AF5=B@8A8B5B 10 <><5=BK3 B>4>@E>9;>E  - BM=EM;389= 1030=0: 030=K= 4MM4 EMAM3B 9;G;ME EG=89 M:AF5=B@8AFB5B 10 <><5=BCC4: MM2@89= ECG8;BK= B>3B<>; 0G00=00A 1=F1*e0=386.65*0.125=48.33:.< &0A=K 0G00=00A 1=F1*e0=67.032*0.125=8.38:.< 030=K= 4>>4 EMAM3B 9;G;ME EG=89 M:AF5=B@8A8B5B 10 <><5=BCC4: 04=0 E0=0 10 F>=E=K F>=E=K 0G00=00A: 5=0.3/2+0.8/2=0.55< M=-F*e=-237.76*0.55=-130.77:.< @0=K 4>>4 40<=C@CC 10 @5;LA89= B0AAK= 0G00=00A: = EMBED Equation.3 =0.75+0.25-0.5*0.8=0.6< M=F*e=139*0.6=83.4:.< @M= :@0=K 0G00=K <><5=B <0E=Dmaxe=499.7*0.6=299.82:.< Mmin=Dmine=143.33*0.6=86:.< 030=K= 4MM4 EMA389= BM=E;M389= 403CC 9;G;ME 0G00=K 4>>4 EMA389= BM=E;M3BM9 E0@LFCC;A0= <><5=BCC4K3 B>4>@E>9;>E. 030=K= 4MM4 10 4>>4 EMA389= BM=E;M3489= E>>@>=4>E 709.: 5=(h1-h2)/2=(0.8-0.6)/2=0.1< MM2@89= ECG8;BK= 68=389= B>3B<>; 0G00=00A =-386.65*.01=-38.67:.< &0A=K 0G00 2=-67.032*0.1=-6.7:.< 030=K= 4MM4 EMA389= 68=389= 0G00 =-39.501*0.1=-3.95:.<    F2    F1  e=0.125  5=0.15 5=0.15  0.6 0.6  Dmax 0.3    F Dmax Dmax     5= EMBED Equation.3 =0.75  0.55 0.6   e=0.1   EMBED Equation.3 =0.75   0.4 h2/2=0.4 h2=1200   5-@ 7C@03 6-@ 7C@03 0EK= 1030=04 9;G;ME C=4 1030=04 9;G;ME EG=489= M:AF5=B@8A8B5B EG=489= M:AF5=B@8A8B5B  - BM=E;M389= 1030=0: 030=K= 4MM4 EMAM3B 9;G;ME EG=89 M:AF5=B@8A8B5B 10 <><5=BCC4 - BM=EM;389= 1030=0=4 9;G;ME EG=489= M:AF5=B@8A8B5B893 3.6 @ 7C@03B 7;;MM. 1 10 2 0;A;0;00A 8@ME 0G00=00A: MM2@89= ECG8;BK= B>3B<>; 0G00=00A 1= EMBED Equation.3 F1*e0= EMBED Equation.3 386.65*0.15= EMBED Equation.3 57.99:.< &0A=K 0G00=00A 1= EMBED Equation.3 F1*e0= EMBED Equation.3 67.032*0.15= EMBED Equation.3 10.05:.< -=4 5=h2/4=0.6/4=0.15< 030=K= 4>>4 EMAM3B 9;G;ME EG=89 <><5=BCC4 1 10 2-@ 0;A;0;K= 3@M= :@0=K 4>>4 40<=C@CC 10 @5;LA89= 68=389= 0G00=K <><5=B. = EMBED Equation.3 139*0.75= EMBED Equation.3 104.25:.< -=4 5= EMBED Equation.3 =0.75< 1 10 2-@ 0;A;0;K= 3@M= :@0=K 0G00=K <><5=B <0E= EMBED Equation.3 Dmaxe= EMBED Equation.3 499.7*0.75= EMBED Equation.3 374.78:.< <in= EMBED Equation.3 Dmine= EMBED Equation.3 143.33*0.75= EMBED Equation.3 107.5:.<  - BM=EM;389= 1030=0: 030=K= 4MM4 EMAM3B 9;G;ME EG=89 M:AF5=B@8AFB5B 10 <><5=BCC4: MM2@89= ECG8;BK= B>3B<>; 0G00=00A 1=-F1*e0=-386.65*0.125=-48.33:.< &0A=K 0G00=00A 1=-F1*e0=-67.032*0.125=-8.38:.< 030=K= 4>>4 EMAM3B 9;G;ME EG=89 M:AF5=B@8A8B5B 10 <><5=BCC4: 04=0 E0=0 10 F>=E=K F>=E=K 0G00=00A: 5=0.3/2+0.8/2=0.55< M=F*e=237.76*0.55=130.77:.< @0=K 4>>4 40<=C@CC 10 @5;LA89= B0AAK= 0G00=00A: = EMBED Equation.3 =0.75+0.25-0.5*0.8=0.6< M=-F*e=-139*0.6=-83.4:.< @M= :@0=K 0G00=K <><5=B <0E=-Dmaxe=-499.7*0.6=-299.82:.< Mmin=-Dmine=-143.33*0.6=-86:.< 030=K= 4MM4 EMA389= BM=E;M389= 403CC 9;G;ME 0G00=K 4>>4 EMA389= BM=E;M3BM9 E0@LFCC;A0= <><5=BCC4K3 B>4>@E>9;>E. 030=K= 4MM4 10 4>>4 EMA389= BM=E;M3489= E>>@>=4>E 709.: 5=(h1-h2)/2=(0.8-0.6)/2=0.1< MM2@89= ECG8;BK= 68=389= B>3B<>; 0G00=00A =386.65*.01=38.67:.< &0A=K 0G00 2=67.032*0.1=6.7:.< 030=K= 4MM4 EMA389= 68=389= 0G00 =39.501*0.1=3.95:.< %=4;= @0<K= 1030=K= EG;M;4893 B>4>@E>9;>E 030=K= E=4;= >3B;>;K= 35><5B@89= 70@8< EM<6834ME=4893 B>4>@E>9;>E 030=K= >3B;>;K= 8=5@F89= <><5=BCC4 1030=K= 4MM4 EMA389= J EMBED Equation.3 A< EMBED Equation.3  70EK= 1030=K= 4>>4 EMA389= J EMBED Equation.3 A< EMBED Equation.3  E>Q@ A0;00B09 4C=4 1030=K= 4>>4 EMA389= A0;00=K >3B;>;CC4K= 1030=K= BM=E;M3B E0@LFCC;A0= J EMBED Equation.3 A< EMBED Equation.3  C=4 1030=K= 4>>4 EMA389= =M3 A0;00=K >3B;>;K= EC289= BM=E;M3B =L E0@LFCC;A0= 8=5@F89= <><5=B J EMBED Equation.3 A< EMBED Equation.3  0<K= AB0B8: B>>F>> E89EM4 709;H39 H00@4;030B09  EMBED Equation.3  EM<6834ME=4893 B>4>@E>9;JQ. 70EK= 1030=0=4  EMBED Equation.3 4.2/12.8=0.328  EMBED Equation.3  4C=4 1030=0=4  EMBED Equation.3  -=4 n=4 E>Q@ A0;00 1030=K= A0;00=K E>>@>=4>E =E=89 B>> M36 H8;68;BMMA 1030=K= B>;3>94 AME @50:F893 B>4>@E>9;>E 030=K= 4MM4 B>;3>94  EMBED Equation.3  H8;68;B 3G M=M H8;68;BMMA =4AM= A8AB5<4 AME @50:F893 B>4>@E>9;JQ.  10  BM=E;M389= 1030=0=4  EMBED Equation.3   BM=E;M389= 1030=0=4  EMBED Equation.3  @50:F8C4K= =89;1M@ r EMBED Equation.3  ">3B<>; 0G00=00A @0<K= 1030=CC404 AME EG;M;4893 B>4>@E>9;>E  - BM=E;M389= 1030=K= @50:F893 B>4>@E>9;JQ.  - BM=EM;389= 1030=0=4 B>4>@E>9;A>= QA>>@ 40@00E <><5=BCC4 9;G8;=M. =4: 030=K= 4MM4 EMAM3B 9;G;ME <><5=B  EMBED Equation.3 48.33:.< 030=K= 4>>4 EMAM3B 9;G;ME <><5=BCC4 %CG8;BK= 0G00=00A& & & & & & & .=-38.67:.< 04=0 E0=K= <0AAK= 0G00=00A& & =-130.77:.< @0=K 4>>4 40<=C@CC 10 @5;LA89= 68=389= 0G00=00A& & & .=83.4:.< 030=K= 4MM4 EMA389= 68=389= 0G00=00A& & & & & & ..=-3.95:.< 89;1M@ <><5=B& & .. EMBED Equation.3 =-89.95:.<  - BM=E;M389= 1030=K= @50:F8  EMBED Equation.3 :  - BM=E;M389= 1030=K= @50:FK3 B>4>@E>9;JQ. 1030=K= B>;3>94 9;G;ME <><5=B& & & & & .1=0 1030=K= 4>>4 EMAM3B 9;G;ME <><5=B& & & ..2=0  EMBED Equation.3   - BM=E;M389= 1030=K= @50:F893 B>4>@E>9;JQ.  - BM=EM;389= 1030=0=4 B>4>@E>9;A>= QA>>@ 40@00E <><5=BCC4 9;G8;=M. =4: 030=K= 4MM4 EMAM3B 9;G;ME <><5=B  EMBED Equation.3 -48.33:.< 030=K= 4>>4 EMAM3B 9;G;ME <><5=BCC4 %CG8;BK= 0G00=00A& & & & & & & .=38.67:.< 04=0 E0=K= <0AAK= 0G00=00A& & =130.77:.< @0=K 4>>4 40<=C@CC 10 @5;LA89= 68=389= 0G00=00A& & & .=-83.4:.< 030=K= 4MM4 EMA389= 68=389= 0G00=00A& & & & & & ..=3.95:.< 89;1M@ <><5=B& & .. EMBED Equation.3 =89.95:.<  - BM=E;M389= 1030=K= @50:F8  EMBED Equation.3 : 0<K= 1030=K= B>;3>9= E0@8<E09 @50:F8C4K3 B>4>@E>9;>E =4AM= A8AB5<89= E>;1>>ACC4K= @50:F89= =89;1M@893 >;JQ.  EMBED Equation.3  >E8E E>;1>34;CC4K= H8;68;B89= 0@3K= :0=>=8: BM3H8B3M;4 >@CC;0= 1>4>6 H8;68;B893 >;JQ. 15.05*10EMBED Equation.3 EMBED Equation.3 1030=CC4K= E0@8<E09= @50:FCC4K3 B>4>@E>9;JQ. EMBED Equation.3-2.74: EMBED Equation.30 EMBED Equation.32.74: 1=48.33 1=48.33    2.74 2.74  2 =89.95 2=89.95     7-@ 7C@03 ">3B<>; 0G00=K 9;G;M;MM@ @0<4 AME <><5=B 10 BC;3CC@K= @50:F8 %=4;= @0<K= 1030=CC404 AME <><5=B, E=4;= EG 1>;>= 403CC EG893 B>4>@E>9;JQ.   BM=E;M389= 1030=0=4  EMBED Equation.3   EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3  48.33 48.33   2.74 2.74    36.822 53.128 53.128 36.822   76.692 76.692   8-@ 7C@03 ">3B<>; 0G00=K <><5=BK= M?N@ (:<) &0A=K 0G00=00A @0<K= 1030=K= >3B;>;CC404 AME EG;M;893 B>4>@E>9;>E &0A=K 0G00=K <><5=B>>A AME 1030=K= B>;3>9= @50:F893 B>4>@E>9;JQ.  - BM=E;M389= 1030=0  EMBED Equation.3   EMBED Equation.3 :  - BM=E;M389= 1030=0  EMBED Equation.3   EMBED Equation.3   - BM=E;M389= 1030=0  EMBED Equation.3   EMBED Equation.3 : 0<K= 1030=K= B>;3>9= E0@8<E09 @50:F8C4K3 B>4>@E>9;>E =4AM= A8AB5<89= E>;1>>ACC4K= @50:FK= =89;1M@893 >;JQ. R EMBED Equation.3 -0.41+0+0.41=0 >E8E E>;1>34;CC4K3 H8;68;B89= 0@3K= :0=>=8: BM3H8B3M;4 >@;CC;0= 1>4>6 H8;68;B893 >;JQ.  EMBED Equation.3 0 1030=CC4K= E0@8<E09= @50:FCC4K3 B>4>@E>9;JQ. EMBED Equation.3-0.41: EMBED Equation.30 EMBED Equation.30.41: %=4;= @0<K= 1030=CC404 AME <><5=B , E=4;= EG 1>;>= 403CC EG893 B>4>@E>9;JQ.   BM=E;M389= 1030=0=4  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3    BM=EM;389= 1030=0=4  EMBED Equation.3  8.38 8.38   0.41 0.41    6.658 0.042 0.042 6.658   3.568 3.568   9-@ 7C@03 &0A=K 0G00=K <><5=BK= M?N@ (:<) @M= :@0=K 0G00=00A @0<K= 1030=K= >3B;>;CC404 AME EG;M;893 B>4>@E>9;>E 1 10 2-@ 0;A;0;K= :@0=K 0G00=K 9;G;M;893 BCA 1@4 =L 02G 7L5.   10   0;A;0;K= :@0=K 0G00=K 0.max 70EK= 1030=0=4, min 4C=4 1030=0=4 9;G;ME max=299.82:< min=-107.5:< 1030=K= @50:F8C4:  EMBED Equation.3 :  EMBED Equation.3 : =4AM= A8AB5<89= @50:FK= =89;1M@: R1@=-29.85+10.7=-19.15: H8;68;B89= 0@3K= :0=>=8: BM3H8B3M;MMA H8;68;B893 >;JQ.  EMBED Equation.3 19.15/3.5*15.05* EMBED Equation.3 *b=363.55/ b 1030=CC4K= E0@8<E09= @50:FCC4K3 B>4>@E>9;JQ. EMBED Equation.3-29.85+363.55/ b*3.85* EMBED Equation.3 *b=-28.45: EMBED Equation.310.7+363.55/ b*7.35* EMBED Equation.3 *b=13.37: EMBED Equation.30+363.55/ b*3.85* EMBED Equation.3 *b=1.4: %=4;= @0<K= 1030=CC404 AME <><5=B , E=4;= EG 1>;>= 403CC EG893 B>4>@E>9;JQ.   BM=E;M389= 1030=0=4  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3    28.45 13.37 1.4   180.33 119.49 51.346 5.88  56.154    64.34 17.92  95.724  10-@ 7C@03 @0=K 0G00=K <><5=BK= M?N@ (:<)   BM=E;M389= 1030=0=4 B>>@<>7=K EG 9;G;ME ">@<>7;>E EG& & & & & & & & & = EMBED Equation.3 18.3: 030=K= @50:FK3 B>4>@E>9;JQ.  EMBED Equation.3  R1=R3=0 R1p=11.712: (8;68;B89= 0@3K= :0=>=8: BM3H8B3M;MMA H8;68;B893 >;JQ.  EMBED Equation.3  030=CC4K= E0@8<E09= @50:FCC4K3 B>4>@E>9;JQ. EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 %=4;= @0<K= 1030=CC4K= EG;M;4893 B>4>@E>9;JQ.   BM=E;M389= 1030=0=4 M0-1=0 MH=10.856*2.8=30.397:<  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3    10.856 1.63 2.8 0.86  30.397    1.4  19.975 6.846 3.612 56.154  8.6  44.043 11.008   24.776  11-@ 7C@03 "M@3M=FM@89= B>@<>7;>E EG=89 9;G;M;MM@ @0<4 AME <><5=BK= M?N@ (:<) Mmax 4C=4 1030=0=4, min 70EK= 1030=0=4 9;G;ME Mmax=-374.78:< Mmin=86:< 1030=K= @50:F8C4:  EMBED Equation.3   EMBED Equation.3  - =4AM= A8AB5<89= @50:FK= =89;1M@ R1p=-8.56+37.31=28.75:< H8;68;B89= 0@3K= :0=>=8: BM3H8B3M;MMA H8;68;B893 >;JQ.  EMBED Equation.3  1030=CC4K= E0@8<E09= @50:FCC4K3 B>4>@E>9;JQ. EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 030=K= >3B;>;CC404 AME EG;M;4893 B>4>@E>9;JQ.   BM=E;M389= 1030=0=4  EMBED Equation.3   EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3    BM=EM;389= 1030=0=4  EMBED Equation.3    10.66 33.3 2.1    41.228 44.772 234.92  139.86   50.448 26.88   131.38  12-@ 7C@03 @0=K 0G00=K <><5=BK= M?N@ (:<)   BM=E;M389= 1030=0=4 B>>@<>7=K EG 9;G;ME 1030=K= @50:FK3 B>4>@E>9;JQ.  EMBED Equation.3  R1=R3=0 R1p=12.13: H8;68;B89= 0@3K= :0=>=8: BM3H8B3M;MMA H8;68;B893 >;JQ.  EMBED Equation.3  1030=CC4K= E0@8<E09= @50:FCC4K3 B>4>@E>9;JQ. EMBED Equation.3 EMBED Equation.3 %=4;= @0<K= 1030=CC4K= EG;M;4893 B>4>@E>9;JQ.   BM=E;M389= 1030=0=4 M0-1=0  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3    0.887 10.44 0.887  3.725 18.228 3.725   11.354 11.354  24.312  13-@ 7C@03 ">@<>7K= EG=89 9;G;M;MM@ E=4;= @0<4 AAM= <><5=BK= M?N@ (:<) C=4 1030=04 4 :@0=K 0G00 9;G;ME C=4 1030=K= 10@CC= 10 7= B0;4 Dmax 9;G;ME 54 4C=4 1030=4 E0<389= 8E 403CC EG;M; A4M3.4 :@0= 9;G;ME B>E8>;4>;4 E>A;>;K= 8B3M;F@  EMBED Equation.3 109403.   BM=E;M389= 1030=0=4 9;G;ME :@0=K 1>A>> 0G00 10 <><5=BK3 B>4>@E>9;JQ. Dmin=143.33*0.7/0.85=118.04: Mmin=118.04*0.6=70.82:< 1-@ 0;A;0;K= 3@M= :@0=00A: Dmax=499.7*0.7/0.85=411.52: Mmax=-411.52*0.75=-308.64:< 2-@ 0;A;0;K= 3@M= :@0=00A: Dmax=499.7*0.7/0.85=411.52: Mmax=411.52*0.75=308.64:<   BM=E;M389= 1030=0=4 9;G;ME :@0=K 1>A>> 0G00 10 <><5=B893 B>4>@E>9;JQ. Dmin=143.33*0.7/0.85=118.04: Mmin=-118.04*0.6=-70.82:<   BM=E;M389= 1030=0=4 9;G;ME <><5=B 2=0  118.04 411.52 411.52 118.04     min=70.82 min=70.82    14-@ 7C@03 @2= :@0=K 0G00;;K= 142G 1030=K= @50:F8C4 R=-8.56*0.7/0.85=-7.049: R=0 R=8.56*70.82/86=7.049: 50:F89= =89;1M@& & & & & & & & ..R1p=0 (8;68;B893 >;1>;:  EMBED Equation.3  EMBED Equation.3 0 030=CC4K= E0@8<E09= @50:FCC4K3 B>4>@E>9;JQ. EMBED Equation.3-7.049: EMBED Equation.30 EMBED Equation.37.049: 1030=K= EG;M;4893 B>4>@E>9;JQ.   BM=E;M389= 1030=0=4  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3     41.214 29.606 29.606 41.214    19.407 19.407  15-@ 7C@03  4 :@0=K 0G00=K <<5=BK= M?N@ /:</ !0;E8=K 0G00=00A @0<K= 1030=K= >3B;>;CC404 9;G;ME EG;M;893 B>4>@E>9;>E =MMA 10@CC= B89H A0;E8;A0= 589= 0G00;;K= 142G893 16-@ 7C@03B 7;M2. W=11.5:     s     =1.656:/<  s=1.035:/<    16-@ 7C@03 !0;E8=K 0G00=K 9;G;M;89= 142G 0<K= 1030=CC4K= 4MM4 BC;3CC@K= @50:FK3 B>4>@E>9;JQ:  EMBED Equation.3  R2=0  EMBED Equation.3  030=K= B>;3>9= B2H8=4 9;G;ME A0;E8=K B2;@A= 0G00=00A =4AM= A8AB5<89= =M<M34M; E>;1>>A>=4 R=-14.5:= @50:F A=M.=4AM= A8AB5<89= @50:F89= =89;1M@893 >;JQ. R1p=-7.69-4.8-14.5=-26.99: A0;E8=K 0G00=00A @0<K= 4MM4 B>;3>94 9;G;ME H8;68;B893 >;JQ.  EMBED Equation.3  1030=CC4K= 4MM4 BC;3CC@K= E0@8<E09= @50:FCC4K3 B>4>@E>9;JQ. EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 %=4;= @0<K= 1030=CC4K= EG;M;4893 B>4>@E>9;JQ.   BM=E;M389= 1030=0=4  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3    BM=E;M389= 1030=0=4  EMBED Equation.3  A0;E8 MA@M3 G83;M;MM@ 9;G8;EM4 MA@M3 BM3H EM<B EG;M;4 A=M.   0.786 13.181 2.104  11.305 55.36 17.966   125.599 111.718  200.35  17-@ 7C@03 !0;E8=K 0G00=K 9;G;M;MMA AME <><5=BK= M?N@ (:<)  0<K= 1030=K= B>>F>>=K EG;M;489= EA=M3B 0<K= 1;>:89= AB0B8: B>>F>>3 =4MA;M=   10   BM=E;M389= 1030=K= EG;M;489= EA=M3B 7>E8>;>>. 030=0 1@B 3 >3B;>; 02G 7AM=.1-0 1030=K= :>=A>;K= 4MM4 B0;K=, 1-2 =L 1030=K= :>=A>;K= 4>>4 B0;K=, 2-1 =L ACC@89= 4MM4 8@<M389= B2H8=4 E0@30;70E >3B;>;. 3B;>; 1@4 EG;M;489= A>=3>;BK= 3 B@;89= EC28;10@K3 02G 7AM= =4: Mmax=, "=4 E0@30;70E N,Q Mmin=, "=4 E0@30;70E N,Q Nmax=, "=4 E0@30;70E M,Q  G00 10 9;G;M; =>@<4 700A=00@ B<@15B>= 1BMMF893 BA;;E4 =4AM= E>A;>;K= E>Q@ 1;3893 02G 74M3. =4AM= E>A;>;K= =M343MM@ 1;M3B B>3B<>; 10 F0A=K 0G003 02=0. -=M B>E8>;4>;4 0G00=K E>A;>;K= 8B3M;F@  EMBED Equation.3  109403.G00=K E>A;>;K= 2-@ 1;M3B B>3B<>; 0G00 10 1E B@ 0G00=K B>E8@><639, 1>;><68B 9;G;M;893  EMBED Equation.3  8B3M;F@BM9 02G B>>F4>3.   BM=E;M389= 1030=K= >3B;>;CC4K= B>>F>>=K EG;M;4G00 EMBED Equation.3 3B;>;1-01-22-1NMNMNQ">3B<>;1136.822426.15-53.128802.91-76.692910.75-2.71&0A=K216.65867.03-0.04267.03-3.56867.03-0.4130.95.99260.327-0.03860.327-3.21160.327-0.369max  BM=EM;389= 1030=0=4 9;G;ME41-119.490180.33499.7-64.34499.7-28.4550.9-107.5410162.297449.73-57.906449.73-25.605- BM=EM;389= 1030=0=461 EMBED Equation.3 19.9750 EMBED Equation.3 19.9750 EMBED Equation.3 44.0430 EMBED Equation.3 7.44470.9 EMBED Equation.3 17.9780 EMBED Equation.3 17.9780 EMBED Equation.3 39.6390 EMBED Equation.3 6.7max  BM=EM;389= 1030=0=4 9;G;ME81-41.228041.228143.33-50.448143.33-10.6690.9-37.105037.105128.997-45.403128.997-9.594- BM=EM;389= 1030=0=4101 EMBED Equation.3 3.7250 EMBED Equation.3 3.7250 EMBED Equation.3 11.3540 EMBED Equation.3 0.887110.9 EMBED Equation.3 3.3530 EMBED Equation.3 3.3530 EMBED Equation.3 10.2190 EMBED Equation.3 0.7984 :@0=K 0G00 4C=4 1030=0=4 9;G;ME121-29.606041.214118.04-19.407118.04-7.049130.9-26.645037.093106.236-17.466106.236-6.344!0;E8=K 0G00 7=MMA14111.305011.3050125.599020.411150.910.175010.1750113.039018.37!0;E8=K 0G00 10@CC=00A161-17.9660-17.9660-111.7180-15.352170.9-16.1690-16.1690-100.5460-13.819  BM=E;M389= 1030=K= B>>F>>=K EG;M;489= E>A;>; =4AM= E>A;>;K= EC28;10@%G;M;3B;>;1-01-22-1NMNMNO@0=K 10 A0;E8=K 0G003 >@>;FCC;A0= =4AM= E>A;>;Mmax1+3+151+5+7+151+1552.989486.477137.3221252.6436.347910.7515.63Mmin1+5+7+171+3+171+3+5+7+17-68.91426.15-69.335863.237-198.7161420.807-35.833Nmax1+3+5+7+171+3+5+7+171+3+5+7+17-62.918486.477110.941312.967-198.7161420.807-35.833@0=K 10 A0;E8=K 0G003 1>4>;F>>39 =4AM= E>A;>;1+21+21+243.48493.18-53.17869.94-80.26977.78-3.15  BM=EM;389= B>>F>>=K EG;M;4   BM=E;M389= 1030=K= >3B;>;CC4K= B>>F>>=K EG;M;4G00 EMBED Equation.3 3B;>;1-01-22-1NMNMNO">3B<>;110812.801090.80198.640&0A=K 210134.060134.060134.06030.90120.6540120.6540120.6540max  BM=EM;389= 1030=0=4 9;G;ME4156.1540-51.346143.3395.724143.3313.3750.950.5390-46.211128.99786.152128.99712.033max  BM=EM;389= 1030=0=4 9;G;ME61-56.154051.346143.33-95.724143.33-13.3770.9-50.539046.211128.997-86.152128.997-12.033- BM=EM;389= 1030=0=481 EMBED Equation.3 6.8460 EMBED Equation.3 6.8460 EMBED Equation.3 20.8640 EMBED Equation.3 1.6390.9 EMBED Equation.3 6.1610 EMBED Equation.3 6.1610 EMBED Equation.3 18.7780 EMBED Equation.3 1.467max  BM=EM;389= 1030=0=4 9;G;ME101139.860-234.92494.7131.38494.733.3110.9125.870-211.428445.23118.242445.2329.97max  BM=EM;389= 1030=0=4 2-@ 0;A;0;00A 9;G;ME121-139.860234.92494.7-131.38494.7-33.3130.9-125.870211.428445.23-118.242445.23-29.97- BM=EM;389= 1030=0=414118.228018.2280-24.312010.44150.916.405016.4050-21.88109.39604 :@0=K 0G00 4C=4 1030=0=4 9;G;ME161000823.040823.040170.9000740.7360740.7360!0;E8=K 0G00 7=MMA18155.36055.360200.35013.181190.949.824049.8240180.315011.863!0;E8=K 0G00 10@CC=00A201-55.360-55.360-200.350-13.181210.9-49.8240-49.8240-180.3150-11.863  BM=E;M389= 1030=K= B>>F>>=K EG;M;489= E>A;>; =4AM= E>A;>;K= EC28;10@%G;M;3B;>;1-01-22-1NMNMNO@0=K 10 A0;E8=K 0G003 >@>;FCC;A0= =4AM= E>A;>;Mmax1+11+15+191+13+15+191+3+13+15+19192.1812.8277.6571536.0340.192764.524-8.711Mmin1+3+13+15+211+3+11+15+211+3+11+15+21-159.29933.45-244.8471656.684-83.954764.5251.229Nmax1+3+13+15+211+3+15+17+211+3+15+17+21-159.29933.45-33.4191952.19-202.1961060.0-2.467@0=K 10 A0;E8=K 0G003 1>4>;F>>39 =4AM= E>A;>;1+21+21+20946.8601224.860332.70 9;42M@89= 40= 10@8;3K= 1030=0 9;42M@89= 40= 10@8;3K= 1030=K BCE09. 9;42M@89= 40= 10@8;3K= 1030=K3 7>@8C;0;BK= EC2L4 2 0=38;403. 0@8;3K= 1>A>> 10 EM2BMM 0G003 E;MM= 020E E=4;= @0<K= 400FK= 1030=0 %0=0 1ME;ME 7>@8C;0;BB09 72E= 304=0 E0=K= <0AA 10 A0;E8=K 0G003 E;MM= 020E D0E25@E 1030=0. 9;42M@89= 40= 10@8;3K= E=4;= @0<K= 400FK= 1030=0 =L FC;  2" >3B;>;B>9 MA2M; E>Q@ A0;00 >3B;>;B>9 1096 1>;4>3. 030=K= E=4;= >3B;>;K= EM;1M@ EM<6MM =L 3@M= :@0=K @3E 400F, 10@8;3K= =4@A 3>;;>= E0<00@403. @M= :@0=K @3E 400F 30B= E@BM; 134 =4@ =L B489;= 8E 1CA 54 FC; >3B;>;B>9, @3E 400F 30B= >>A 4MMH, 10@8;3K= =4@ 12 <-MMA 8E 1>; 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As=Asi=0.002*2*h0=0.002*60*56=6.72A<2 -=M CB300@ 3(16 -III (As=7.63A<2) 0@<0BC@ 02JO. @<0BC@G;0;K= 8;B3M;F@  EMBED Equation.3  @<0BC@G;0;K= 8;B3M;F@ C@L4G8;0= A>=3>A>=B>9 =4AM=4MM 048; 109=0. 3B;>;K3 3C;709;BK= E02B3094 =>@<0;L G83;M;MM@ B>>F>E H00@4;030B09 MAME893 H0;30O: @0=K 0G003 1>4>;F>E39 B>E8>;4>;4 1030=K= B>>F>>=K C@B L0i=1.5H2=1.5*4.2=6.3< =5@F89= <><5=B:  EMBED Equation.3  -;5<5=B89= BCO=:  EMBED Equation.3  9<4 M=M G83;M;4 B>>F>> E89E H00@4;03039. 030=K= :@0=K 4>>4 EMA389= 1E 10BK= B>>F>>: C=4 1030=K= 4>>4 EMAM3 =L E>Q@ A0;00 >3B;>;B>9. 030=K= >3B;>;K= 4MM4 EM<6MM: 3B;>;K= @3=  2=60A< 3B;>;K= =89B =4@  h1=120A< !0;00=K >3B;>;K= @3=  hbr=25A< !0;00=K BM=E;M3 E>>@>=4K= 709  A=950A< !0;00=K >3B;>;K= 0H83B09 =4@  h0=25-3=22A< C=4 1030=K= :@0=K 4>>4 EMA389= 1E 10BK3 2-1 >3B;>;K= EG;M;MM@ B>>F=>. ">>F>>=K EG;M;4 %G;M;G00=K 1;M3;M;maxMminNmax, :< N, : Q , :40.192 764.524 -8.711-83.954 764.524 51.229-202.196 1060 -2.467 #400= EC30F00=K 9;G;M;BM9 0G00=K EG;M;4: Me=0 Ne=198.64: Qe=0 C=4 1030=K3 BM3H EM<BM9 0@<0BC@G;0E BC; II 1;M3;M;89= EG;M;4MM@ B>>F>> E896, III 1;M3;M;89= EG4M;MM@ H0;306 1>;=>. 030=K= E>B>9;BK= =;3 B>>F>>=4 1>4>;F>E H00@4;030B09 MAME893 H0;30O: 030=K= 4>>4 EMA389= B>>F>>=K C@B L0= EMBED Equation.3  *H1=1.5*11=16.5< %>Q@ A0;00B09 1030=K= >3B;>;K= H8;6;AM= 8=5@F89= <><5=B893 >;JQ.  EMBED Equation.3   EMBED Equation.3  -;5<5=B89= H8;6;AM= BCO=.  EMBED Equation.3  89<4 403CC EG=89 M:AF5=B@8A8B5B893 >;>E4>> M;5<5=B89= E>B>9;BK= =;3 1>4>;F>=>. 03CC EG=89 M:AF5=B@8A8B5B 50=/N=83.954/764.524=0.1098=10.98A< B>E8>;4;K= M:AF5=B@8A8B5B: 501=50/600=1650/600=2.75A< 502=hbr/30=0.25/30=0.008=0.8A< 503=1A< G00=K M:AF5=B@8A8B5B B>E8>;4;K=E>>A 8E 109=0. 9<4 50=10.98A<-00@ 02G B>>F=>. 3B;>;K= 8=5@F89= <><5=B.  EMBED Equation.3  G00=K C400= EC30F00=K 9;G;M; M;5<5=B89= E>B>9;B>4 7;ME =;3 1>4>;FA>= 8;B3M;F@893 B>4>@E>9;JQ  EMBED Equation.3  -=4: 15 10 1 C400= EC30F00=K 10 =89B 0G00=K AC=0;BK= 7>=K= 0@<0BC@K= E=489= B24 E0@LFCC;A0= <><5=B 15=0+198.64*0.95/2=94.354:< 1=83.954+764.524*0.95/2=447.1:<  EMBED Equation.3   EMBED Equation.3  89<4  EMBED Equation.3  02=0. @<0BC@K= 8;B3M;F@893 C@L4G8;0=  EMBED Equation.3 =0.0065-00@ 02G 0@<0BC@K= M;5<5=B89= E=489= B24 E0@LFCC;A0= AB0B8: <><5=BK3 >;JQ.  EMBED Equation.3  @8B8: EG893 >;JQ.  EMBED Equation.3  -;5<5=B89= E>B>9;BK= =;3@ EG=89 M:AF5=B@8A8B5B =M<M34ME893 1>4>;FA>= 8;B3M;F@893 B>4>@E>9;JQ.  EMBED Equation.3  030=K= >3B;>;K= =M3 A0;00=4 9;G;ME EG893 B>4>@E>9;JQ.  EMBED Equation.3  Nbr1=479.472:< Nbr2=285.052:< 030=K= A0;00=K E=4;= E>;1>>AK= <><5=B 10 E=4;= EG  EMBED Equation.3   EMBED Equation.3  030=K= =M3 A0;00=K <><5=BK3 B>4>@E>9;JQ.  EMBED Equation.3  030=K= =M3 A0;00=4 9;G;ME EG=89 M:AF5=B@8A8B5B893 B>4>@E>9;JQ.  EMBED Equation.3  B>E8>;4;K= M:AF5=B@8A8B5B: 501=50/600=195/600=0.325A< 502=hbr/30=25/30=0.83A< 503=1A< 50<50=1A< 109300 BC; B>>F>>=4 50=1A<-MM@ 02=0. 030=K= =M3 A0;00=4 9;G8;6 1C9 EG=MMA 0@<0BC@ E@BM;E 709 5= EMBED Equation.3  030=K= A0;003 BM3H EM<BM9 0@<0BC@G;0E QAB>9. @<0BC@K= E=4;= >3B;>;K= B0;1093 >;>E>4 H00@40340E EM<6834ME=4893 >;JQ.  EMBED Equation.3   EMBED Equation.3  -=4:  EMBED Equation.3  %M@M2  EMBED Equation.3 s<0 10920; 0@<0BC@G;0;K= 8;B3M;F@893 E0<389= 10300@ A>=3>= 02G B>>F>> E89=M.  EMBED Equation.3 >0 30@A0= BC; B>>F>>3 F00H @3M;6;;M=  EMBED Equation.3 -3 B>4>@E>9;=>.  EMBED Equation.3  -=4 1030=K= A0;00=K 0@<0BC@K3 40@00E B><JQ>3>>@ B>4>@E>9;6, BM3H EM<BM9 0@<0BC@G;0=0. s=Asi= EMBED Equation.3  @<0BC@K= E=4;= >3B;>;K= B0;109 1030 30@A0= BC; 1BMMF;M;89= H00@4;03K3 E0@30;70= 220 -III (As=Asi=6.28A<2) A>=3>= 02G BM3H EM<BM9 0@<0BC@G;0O. 030=K= :@0=K 4>>4 EMA3893 3C;709;BK= E02B3094 =>@<0;L >3B;>;>>@ B>>F>E H00@4;030B09 MAME893 H0;30O. ">>F>>=K C@B L0=0.8H1=0.8*11=8.8< 3B;>;K= 8=5@F89= @048CA i= EMBED Equation.3  -;5<5=B89= BCO=  EMBED Equation.3  9<4 3;709;BK= E02B3094 B>>F>E H00@4;03039. %=4;2G89= >3B;>;K= EM<6MM 2=60A< h=60 0=0i=0.04< %=4;2G84 9;G;ME EG=4 =L <= B>4>@E>9;A>= QA>>@ ds=49.95:< Qds=105.15: %=4;2G84 9;G;ME <><5=B =L E>Q@ CB30B09 109E CG@00A BM3H EM<BM9 0@<0BC@G;0=0. s=Asi= EMBED Equation.3  2  14 A-III (As=Asi=3.08A<2) 0@<0BC@ A>=3>;>>. %=4;= 0@<0BC@ B>>F>E H00@4;030B09 MAME893 H0;30O.  EMBED Equation.3  -=4 :  EMBED Equation.3 =0.6 15B>=K B@;A E0<00@0E 8;B3M;F@ / E=4 15B>=4 / Q=166.32:>Qds=105.15: 109300 CG@00A E=4;2G89= E=4;= 0@<0BC@K3 B>>F>E393MM@ A-I 0=389= 6<< 3>;GB>9 0@<0BC@K3 S= 100<< (n=2) 0;E0<B09300@ B02JO. !CC@L 030=K= 4>>@E8 A0;0=30 ACC@L BA;;E !CC@L 1030=K= 0G003 E;MM= 02G C; E@A=4 40<6CC;403. 030=K= 4>@ 3>;G;>= H>= ACC@L B028E 10 >=F3>9 AC; E@ABM9 MA2M; =M3 B@;89= 1CA E@A=4 1030=K= 4>>@ HC30<0= ACC@L B02L403. 030=K= 4>>@E8 ACC@893 C3A0@<0; 10 FCB30<0; E896 1>;=>. "289= H0E0;BK= ACC@893 B0;CC4K= E0@LF00 m=0/2=0.6& 0.85 109E00@ BM3H =F3B EM;1M@BM9 A>=3>= 02=0. !CC@89= =4@ -893 B>>F>>3>>@ B>3B>>=>. !CC@L =M3, E>Q@, 3C@20= H0B;0;B09 1096 1>;=>.  EMBED Equation.3 450 << 1>; =M3 H0B;0;B09,  EMBED Equation.3  EMBED Equation.3  1>; E>Q@ H0B;0;B09, >900<< 1>; 3C@20= H0B;0;B09 109=0. (0B;0;K= =4@ 150<<-4 EC200340E B>> 109=0. %0@8= ACC@89= =89B =4@ 300<<-4 EC200340E B>> 109=0. !CC@893 12.5-00A 103039 0=389= 15B>=>>@ E89E 10 ACC@89= C;K3 -III MA2M; -II 0=389= 0@<0BC@00@ 1M;B3MAM= B>@>>@ 0@<0BC@G;0=0. %>Q@ A00;00 1030=K= 4>>4 ACC@89= B>>F>> ">>F>>=K 334;4: 5B>=K 0=38 12.5  EMBED Equation.3  EMBED Equation.3  R2=1.1*7.5=8.250 R2t=1.1*0.66=0.7260 @<0BC@ -II Rs=2800 %@A=89 MAM@3FM; Ro=3.42:3/<2 !CC@893 @0<K= 4C=4 1030=K= 2-1 >3B;>;K= EG;M;MM@ B>>F=>. ">>F>>=K EG;M;4 %G;M;G00=K 1;M3;M;maxMminNmax, :< N, : Q , :40.192 764.524 -8.711-83.954 764.524 51.229-202.196 1060 -2.467 G00=K M=M 1;M3;M;MMA ACC@89= B>>F>>=4 8; >A>;B>9 =L Nmax 1;M3;M;89= EG;M;4 109=0. -43MM@ EG;M;489= 0G00=K =09420@68;BK= 4C=406 CB304 EC2006, BM43MM@89= =>@<0B82 E>;1>34;K3 B>4>@E>9;JQ.  EMBED Equation.3   EMBED Equation.3  EMBED Equation.3   EMBED Equation.3  !CC@89= 35><5B@ EM<6834ME=893 B>4>@E>9;JQ "289= H0E0;B0=4 068;;0E ACC@893 :204@0B, B289= 1CA H0E0;B0=4 068;;0E ACC@89= B0;CC4K= E0@LF00 0.6& 0.85 109E00@ BM3H =F3B EM;1M@BM9 A>=3>= 02=0. !CC@89= 4MM4 8@<M3893 10@8;3K= H0;=K B2H=MMA 150<< >@G8< 4>>H 109@;0E00@ 1>4>E =L BM3 F8:;89= 068; O2CC;0E04 B>E8@><6B>9 109403. !CC@89= =4@ 10 B0;CC4K= EM<6MM3 300<<-4 EC200340E00@ 020EK3 M@<M;7ME QAB>9. !CC@89= ACC;30;BK= 3= =L 10@8;3K= B0;109= 384@>35>;>389= =EF;, E@A=89 E;4;B89= 3=, 3070@ 4>@ 1093CC;0<6 189 MAME 7M@389= >;>= =EF;A E0<00@403. 030=K= 0O30= ACC@LB ACCE 3=893 40@00E =EF;4MM@ B>4>@E>9;6 0;L 8EMM@ =L A>=3>= 020E QAB>9.  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  -=4: h1, bcol  1030=K= >3B;>;K= =4@, @3=. d  403CC 0@<0BC@K= 480<5B@ -43MM@ EM<6MM3 =4MA;M= ACC@89= 0O30=K 3=3 EMBED Equation.3  EMBED Equation.3  109E00@ B>>FJQ. !CC@89= 0O30=K 4>>4 E0=K= 7C700=K3 250<<-MM@ 02G ACC@89= =4@893 B>4>@E>9;1>;: f=0.95+0.25=1.2< -=M EM<6MM =L ACC@89= =4@ 300<<-B EC200340E B>> 109E H00@4;03K3 E0=306 109300 BC;ACC@89= =4@89= MFA89= EM<6MM 1>;3>= 02;00. (0;=K B2H=MMA ACC@89= 4MM4 8@<M3 E@B;ME 709 0.15< 109E00@ 4MM@ =M3M=B B>3B>>A>= BC; ACC@89= ACC;30;BK= 3=3 40@00E B><JQ>3>>@ B>4>@E>9;=>. d=Hf+0.15=1.2+0.15=1.35< !CC@89= C;=K B0;1093 B>4>@E>9;JQ.  EMBED Equation.3  EMBED Equation.3  -=4:  EMBED Equation.3  EMBED Equation.3 - ACC@L 10 B= 4MM@ 40@0E E@A=89 4C=406 <0AA. !CC@LB 1>A>> EG=MMA 304=0 <><5=B 9;G8;6 1093003 1>4>;F>= 1.05 8;B3M;F@MM@ @6;AM=. !CC@89= B0;CC4K= E0@LF003 b/0=0.85  00@ 02G ACC@89= B0;CC4K= EM<6MM3 B>4>@E>9;JQ.  EMBED Equation.3  b=0.850=2.67< 9<4 ACC@89= C;=K B0;1093 0Eb=3.1E2.7<-MM@ MFMA;M= 02;00. %@A=89 B>>F>>=K MAM@3FM; =L E@A=89 H8=6 G0=0@00A E0<00@004 7>3A>E39, 10@8;3K= ACC@89= EM<6MM, ACC;30;BK= 3= 7M@M3 >;>= =EF;A E0<00@403. 9<4 ACC@89= B0;109 10 A>=3>= 02A0= ACC;30;BK= 3=MMA E0<00@CC;0= E@A=89 B>>F>>=K MAM@3F;893 >9@>;F>>3>>@ 40E8= B>4>@E>9;JQ.  EMBED Equation.3  -=M B><JQ>=4 >@A>= 8;B3M;F@ 10 EM<6834ME=893 >;JQ. Mj,Mq,Mc  E@A=89 4>B>>4 @M;B89= =F3A E0<00@0E =M@39 EM<6834ME=4:  EMBED Equation.3  109E04 Mj=0.98 Mq=4.93 Mc=7.4 109=0.  EMBED Equation.3 - E@A=89 G0=0@ 10 10@8;3K= H8=6 G0=0@00A E0<00@0E 06;K= =EF;89= 8;B3M;F@, 1030 G893BM9 B>>A>=F>@ M;AM= E@A=4  EMBED Equation.3 , 10@8;3K= =89B C@B, =4@89= E0@LF00 L/H=108/15.38=7.02>4 54  EMBED Equation.3  . Kz  ACC@89= @3=A E0<00@0E 8;B3M;F@ b<10< 54 Kz=1 d=1.35<  ACC@89= ACC;30;BK= 3= b- 7>>@89= ACC@89= ACC;30;BK= 3=. 7>>@39 10@8;304 b=0  EMBED Equation.3  A11- :0-00@ B>4>@E>9;>34>E E@A=89 10@LF0; (c11=3) :- =L  EMBED Equation.3 10 A11-893 B>4>@E>9;A>= =EF;A E0<00@403. -43MM@893 ;3M@ BC@H8= B>4>@E>9;A>= 1>; :=1, E0@8=  EMBED Equation.3 10 A11-893 EA=M3B89= 7>E8E E>;1>34;CC400@ B>4>@E>9;A>= 1>; :=1.1 109403. >E8E E>;1>34;CC4K3 >@;CC;0= E@A=89 B>>F>>=K MAM@3F;893 >;JQ.  EMBED Equation.3  -=M =0@89A30= B>4>@E>9;A>= E@A=89 B>>F>>=K MAM@3FM; =L <= 02A0= E>;1>34;>>A 7@ 1030B09 BC; ACC@89= C;=K EM<6MM3 40E8= 1>4>E H00@4;03039. 030=K= 4>>@E H>= ACC@89= =4@ =120A<-00@ B>3B>>A>=. !CC@89= =4@ =L >90A< 109300 BC; 3C@20= H0B;0;B09, H0B 1@89= =4@893 BM=F 40A<-00@ 02JO. 1200 75 250 275 350    0.00    400  700  400  500 400    925 1250 925  3100     75  600 1300 1900 2700  75      75 1200 75  1850  2400  3100  18-@ 7C@03 "289= 1CA H0E0;BK= ACC@L !CC@89= 06;K= =4@893 B=89 1E 10BK= =EF;@ A>=3>Q.  EMBED Equation.3  EMBED Equation.3  -=4: h=h1=1.2<-1030=K= >3B;>;K= =4@ Bcol=0.5-1030=K= >3B;>;K= @3= = EMBED Equation.3  EMBED Equation.3  -B>>F>>=K 0G00=00A E@A=4 AME 40@0;B !CC@89= =4@ h=h0+a=0.96+0.05=1.01<1.2< 89<4 ACC@89= <= B>3B>>A>= =4@ E0=30;BB09. !CC@89= C;=K 4>>4 E@A=89 40@0;BK3 H0;30E "289= 1CA 0G00;0;B09 ACC@89= 4>>@E8 E@A=89 40@0;B 40@00E =EF;893 E0=30E H00@4;030B09. n.max EMBED Equation.3  1.2R Pn.min>0 Pn.m EMBED Equation.3 R -43MM@ =EF;893 H0;30EK= BC;4 ACC@89= 4>>4 E@A=89 40@0;BK3 B>4>@E>9;JQ. =89 BC;4 ME;MM4 70@8< H00@4;030B09 EM<6834ME=893 >;JQ. !CC@L 10 B=89 4MM@E E@A=89 68=389= =>@<0B82 0G00:  EMBED Equation.3  !CC@89= C;=K 1C;0=389= FM3B E0@LFCC;A0= <><5=BK3 B>4>@E>9;JQ: nf=Mn+Qn*H=175.823+2.145*1.2=178.397:< G00=K M:AF5=B@8A8B5B e0=Mnf/(Nn+Gn)=178.397/(1921.739+214.69)=0.08<a/b=0.87  Nn  Mn         Pn.max Pn.m  Pn.min 19-@ 7C@03 !CC@89= 4>>4 E@A=89 40@0;BK= M?N@ "289= 1CA H0E0;BK= ACC@89= 4>>@E8 E@A=89 40@0;BK3 H0;30O:  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  9<4 ACC@89= 4>@ AME E@A=89 40@0;B0=4 B028340E H00@4;030 134 185;M34M6 109=0. G00=K E>Q@4C300@ 1;M3;M;89= EG;M;4MM@ ACC@89= 4>>@E E@A=89 40@0;BK3 H0;30E H00@4;030B09. >@<0B82 EG;M;4893 >;JQ.  EMBED Equation.3  EMBED Equation.3  !CC@89= C;=K 1C;0=389= FM3B E0@LFCC;A0= <><5=BK3 B>4>@E>9;JQ: nf=Mn+Qn*H=-73+44.55*1.2=-19.54:< G00=K M:AF5=B@8A8B5B e0=Mnf/(Nn+Gn)=19.54/(664.8+214.69)=0.02 "289= 1CA H0E0;BK= ACC@89= 4>>@E8 E@A=89 40@0;BK3 H0;30O:  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  !CC@89= 4>>4 E@A=4 AME 40@0;B0=4 B028340E H00@4;030 134 E0=303406 109=0. !CC@89= C;=K 0@<0BC@K= E=4;= >3B;>;K= B0;1093 A>=3>E !CC@89= C;=K 0@<0BC@K3 ACC@89= C;=K C@B 10 @3=89 G83;M;4 A>=3>=>. !CC@89= C@B G83;M;89= 403CC 0@<0BC@K3 A>=3>E: !CC@89= 4>>4 E@A=89 EG4M;893 ACC@L 10 B=89 4MM@E E@A=89 <0AAK3 1>4>;F>E393MM@ B>>F>>=K 0G00300@ B>4>@E>9;JQ.  EMBED Equation.3   EMBED Equation.3  -=4 : f=M+Qh=202.196+2.47*1.2=205.16:< W=2*a2/6=2.7*3.12/6=4.32<3-ACC@89= C;=K B0;109= MAM@3F;89= <><5=B I-I, II-II, III-III >3B;>;CC4K= <><5=BK3 B>4>@E>9;>= B>>F>> E896 0@<0BC@ A>=3>=>.  EMBED Equation.3  -=4: 01=2.6<  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  EMBED Equation.3      2 3    1  400  900   400  500 400   1 2 3 1250 50   1850  2400  3100  20-@ 7C@03 "289= 1CA H0E0;BK= ACC@89= <><5=BK3 B>4>@E>9;>E >3B;>;CC4 (00@40340E 0@<0BC@K= B0;109:  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  -43MM@ 0@<0BC@K= H00@40340E E=4;= >3B;>;K= B0;1093 =4MA;M= 10 (12 -II (s=11.31A<2) A>=3>= 02;00. !CC@89= 1>38=> G83;M;89= 403CC B028E 0@<0BC@K3 A>=3>E: -=M G83;M;89= 0@<0BC@K3 E@A=89 4C=406 40@0;B00@ A>=3>=>. m=245.5:/<2 ">>F>>=K >3B;>;K3 ACC@89= H0B;0;K= 8@<M389= 403CC 02G 7L5. ><5=BCC4 1-1=0.125 m*0(2-2i)2=0.125*245.5*3.1(2.7-2)2=46.6:< 2-2=0.125 m*0(2-2i)2=0.125*245.5*3.1(2.7-1.4)2=160.7:< 1-1=0.125 m*0(2-2i)2=0.125*245.5*3.1(2.7-0.5)2=460.3:< (00@40340E 0@<0BC@K= B0;109:  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  -43MM@ 0@<0BC@K= H00@40340E E=4;= >3B;>;K= B0;1093 =4MA;M= 16(12 -II (s=18.09A<2) A>=3>= 02;00. !CC@89= A>=3>= 02A0= 0@<0BC@K3 303=06 B>@ E89= ACC@89= C;0=4 4M2AM=M. 21< 0;A;0B09, C@L4G8;0= EG8B3MAM=, E>Q@ =0;CCB09 40< =C@CC=K B>>F>> =4AM= 334;: 5B>= 0=38& 30 0=389= E=4 15B>= 6;K= =EF;89= 8;B3M;F@  EMBED Equation.3  ">>F>>=K MAM@3FM;4 Rb=0.9*17=15.30 Rbt=0.9*1.2=1.080 Rb,ser=220 Rbt,ser=1.80 %0@8<E09= 0=E=K <>4C;L Eb=290000 @<0BC@K= C@L4G8;0= EG4MB3M;89= E02G8;BK= EG 15B>=4 334E 589= 15B>=K 10B 1ME Rbp=240 -=M 589= B>>F>>=K MAM@3F;4 10 E0@8<E09= =E=K <>4C;L:  EMBED Equation.3  54 Rb,p=13.90 Rbt,p=1.020 Rbp,ser=17.40 Rbtp,ser=1.590 Ebp=264000 @<0BC@: #@L4G8;0= EG8B3MAM= -V 0=389= H8;1M= 0@<0BC@: Rs=6800 Rs,ser=7850 Es=1900000 #@L4G8;0= EG8B3MM39 -III 0=389= H8;1M= 0@<0BC@: d<10<< 54 Rs=3550 d>10<< 54 Rs=Rsc=3650 Es=2000000 Bp-I 0=389= CB0A (5<< 54 Rs=3600 RsW=2900 Es=1700000 @<0BC@K3 EG8B3ME 0@30  BC;3CC@ 4MM@ <5E0=8: 0@300@. BMM34ME=893 0B<>AD5@89= 40@0;B04 4C;00=00@ 1>;>2A@CC;=0. 300@K= G893;M3 40%-80A 8E.  1  2     1000   3230 1100 1100 1100 1100 1100 1100   2 350 1  20960  1-1 2-2  320  EC2LA0E  250 21-@ 7C@03 21< 0;A;0;B09 40< =C@CC    360 ">>F>>=K 0;A;0;, 0G00, EG;M; ">>F>>=K 0;A;0;K3 1MEM;3MM=89 1>>;BK= E>>@>=4K= 709300@ 02=0.   20    150   22-@ 7C@03 MEM;3MM=89 1>>;BK= 109@;0;  0) 1)     2.85 4 4 4 4 2.85  20.7  23-@ 7C@03 ">>F>>=K 142G 10 >3B;>;CC4 0) 40< =C@CC=K B>>F>>=K 142G 1) B>>F>>=K >3B;>;CC4 0<=C@CC=K <0AA 12.1B 40<=C@CC=K EC289= 68=389= C@B00H <5B@89= 0G00:  EMBED Equation.3  54 gn= EMBED Equation.3   EMBED Equation.3  54 gn=5.4*1.1=5.94:/< %CG8;BK= 0G00 E02B0=3K= 403CC E028@300@ 40<68= 40<=C@CC=4 "2;@A= 0G00=K 1094;00@ 9;G;M=M (7-@ 7C@389= 0). %0@8= 40<=C@CC=4 9;G;ME B2;@A= 0G00=K B>> 5 10 4MMH 10920; B0@EA0= 0G00300@ A>;L6 B>>F>6 1>;=>. MM2@89= ECG8;BK= M;5<5=B489= EC289= 68=389= B>3B<>; 0G003 EA=M3BMM@ B>4>@E>9;JQ. MM2@89= ECG8;BK= B>3B<>; 0G00 G00=K B@;G00, 0 EMBED Equation.3 >@<B">>F>>=K  EMBED Equation.3 n=0.95 EMBED Equation.3  EMBED Equation.3 #A BCA300@;0E 5 (3 5 @C15@>84)90861111.3AD0;LB B@EMF ( EMBED Equation.3 =4:/< t=150<<)3603424451.3C;00;3K= <8=5@0;>20B E02B0=6005707411.3#C@ BCA300@;03G4846601.33E6<-89= E02B0=1580150016501.1=267825443007-  EMBED Equation.3  54 ">3B<>; 0G00  gn=2.544*6+5.4=20.66:< "@ 0G00 Sn=1*0.95*6=5.7:< =MMA C400= EC30F00=K B@ 0G00  Sne=1*0.3*0.95*6=1.71:< 89B B>3B<>; 10 B@ 0G00  qn=20.66+5.7=26.36:< =MMA B>3B<>; 10 C400= EC30F00=K 0G00  qne=20.66+1.71=22.37:<  EMBED Equation.3  54 89B 0G00 q=(3+1.33)*6+5.94=31.92:< EBM9 40<=C@CC =L 304004 1094;00@00AB0BL8: B>4>@E>9 40<=C@CC 1>;>2G 4>B>>4 1094;K= EC2L4 4?0<=C@CC=K =E=4893 EH= 70=38;300B09 18B E@MMBM9 @0< 3M6 72M; AB0B8:89= EC2L4 >;>= 40E8= B>4>@E>939 A8AB5< N<. %0@LFCC;A0= B>>F>>=>>A 7MEM4 AB0B8: B>4>@E>9 A8AB5<MM@ B>>FA>= 40<=C@CC=K 1A489= EG;M; B>>F>>=K 142G893 =0@892G;0= 02G B>>FA>= @ 4=BM9 >9@>;F>> 109403. "C;3CC@00A E 7094 9;G;ME 3C;709;30E <><5=BK3 40@00E B><JQ>3>>@ B>4>@E>9;=>: E=Q*x-q*x2/2 Q- melueejsy hfy;lfy hox "C;3CC@K= E=4;= EG893 >;JQ.  EMBED Equation.3  54 E 0G00=00A  Qn=26.36*20.7*0.5=272.18: #400= EC30F00=K 9;G;M;89= 0G00=00A  Qne=22.37*20.7*0.5=231:  EMBED Equation.3  54 Q=31.92*20.7*0.5=329: 334A= >3B;>;CC4K= 3C;709;30E <><5=BCC4K3 EA=M3BMM@ B>4>@E>9;JQ. 3B;>;CC4%, <C;709;30E <><5=B, :< EMBED Equation.3  54  EMBED Equation.3  54#400= EC30F00=K 0G00=00A89B 0G00=00A0-0 I-I II-II III-III IV-IV V-V0.15 3.45 3.95 6.9 7.7 10.3534.39 567.93 708.87 908.72 953.17 1022.3540.48 669.08 835.22 1070.53 1123.03 1204.3549 810.25 1011.38 1296.17 1359.98 1458.33 0B 1ME893 =>@<0;L 3>B;>;>>@ B>>F>E 0<=C@CC=K BC;3CC@00A 6.55< 709= 40EL IV-IV >3B;>;>>@ 10B 1ME893 H0;30O. =89 BC;4 ME;MM4 >3B;>;K= =4@893 >;JQ. Hx=190.1A< 0<=C@CC=K 4>>4 1AM4 1BMMF;M;89= H00@4;0300@ 4(5 @-I (As=78.5<<2) 0@<0BC@ A>=3>= 020E 10 40<=C@CC=K 4>>4 1A89= EG8B3MAM= 0@<0BC@ BM3H EM<BM9 109@;0=0 3M6 7MM4 E0<300;0;BK= 5893 B>4>@E>9;JQ. aI=360/2=180<< 0<=C@CC=K 4MM4 1AM4 1BMMF;M;89= H00@4;0300@ 4(12 -III (AsI =452<<2) 0@<0BC@ A>=3>= 02JO. -=M A>=3>A>= 0@<0BC@K3 40<=C@CC=K 4MM4 1AM4 BM3H EM<BM9 109@;0=0 3M6 7MM4 E0<300;0;BK= 5893 B>4>@E>9;JQ. a=320/2=160<< 3B;>;K= 0H83B09 =4@ h0=1901-180=1721<< ;B3M;F@  EMBED Equation.3   EMBED Equation.3  6;K= =EF;89= 8;B3M;F@  EMBED Equation.3  54  EMBED Equation.3  (0E0;BK= FA89= E0@LF00B =4@89= EO7300@K= CB30  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3 < EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  !C=0;BK= 1A89= H00@40340E B0;109  EMBED Equation.3  @<0BC@K3 40<=C@CC=K 4>>4 1AM=4 BM3H EM<BM9 109@;CC;0E00@ 1>4>6 6 (16 -V (Asp=1206<<2>1182<<2 ) A>=3>Q. (8;6;AM= >3B;>;K= 35><5B@89= %M<6834ME=893 B>4>@E>9;>E 0<=C@CC=K IV-IV >3B;>;K= 35><5B@89= EM<6834ME=893 B>4>@E>9;JQ. 3B;>;K= EM<6MM h=1901<< b=250<< (8;6;AM= >3B;>;K= B0;109 red=203791<<2 (8;6;AM= >3B;>;K= 4>>4 8@<M3B E0@LFCC;A0= AB0B8: <><5=B Sred=159.88<<2 0<=C@CC=K 4>>4 8@<M3MMA >3B;>;K= E=489= B2 E@B;ME 709 y0=800.3<< %=489= B24 E0@LFCC;A0= >3B;>;K= B0;109= 8=5@F89= <><5=B Jred=63.93*109<<4 3B;>;K= 4>>4 1AMM@ 02A0= H8;6;AM= >3B;>;K= 8=5@F89= <><5=B Wred=7988.3*104<<3 3B;>;K= 4>>4 1AMM@ B>4>@E>9;A>= >3B;>;K= E0@8<E09-=0;0@E09 MAM@3F;89= <><5=BK3 B>4>@E>9;>EK= BC;4 ME;MM4 H0E0;B AC=0;BK3 7003;0A0= BM=E;M389= 109@;0;K3B>4>@E>9;>E H00@4;030B09. 003;0E BM=E;M3893 40@00E =EF;893 =4MA;M= A>=3>=>.  EMBED Equation.3  (0E0;BK= 1A89= 15B>=K B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= AB0B8:89= <><5=B SIbo=768x-12288 (0E0;BK= 1A89= 0@<0BC@K= B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= AB0B8:89= <><5=B  EMBED Equation.3 * SIso=31.2x-499 !C=0;BK= 1A89= 0@<0BC@K= B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= AB0B8:89= <><5=B  EMBED Equation.3 * Sso=12376.96-97.61x !C=0;BK= 1A89= 15B>=K B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= AB0B8:89= <><5=B Abt* EMBED Equation.3  -43MM@ >;A>= 8;M@E89;M;4893 0H83;0= E-89= CB3K3 B>4>@E>9;JQ. %=66A< !C=0;BK= 1A89= 8@<M389= B2H8=4 E0@30;70E E0@8<E09-=0;0@E09 MAM@3F;89= <><5=B  EMBED Equation.3  -=M B><JQ>=4 >@A>= EM<6834ME=893 B>4>@E>9;JQ. (0E0;BK= 1A89= 15B>=K B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= 8=5@F89= <><5=B  EMBED Equation.3  !C=0;BK= 1A89= 0@<0BC@K= B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= 8=5@F89= <><5=B  EMBED Equation.3  (0E0;BK= 1A89= 0@<0BC@K= B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= 8=5@F89= <><5=B  EMBED Equation.3  !C=0;BK= 1A89= 15B>=K B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= AB0B8: <><5=B  EMBED Equation.3  -43MM@ >;A>= CB3CC400@ AC=0;BK= 1A89= 8@<M389= B2H8=4 E0@30;70E E0@8<E09-=0;0@E09 MAM@3F;89= <><5=B893 B>4>@E>9;JQ.  EMBED Equation.3 133073A<3 (0E0;BK= 1A89= 8@<M3B E0@30;70E H8;6;AM= >3B;>;K= MAM@3F;89= <><5=B WIred=83409.4A<3 0<=C@CC=K 4MM4 1A AC=0;B04 068;;0E 54 =EBM9 >3B;>;K= 7003;0E BM=E;M389= 109@;0;K3 40@00E B><JQ>3>>@ >;=>.  EMBED Equation.3  (0E0;BK= 1A89= 15B>=K B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= AB0B8:89= <><5=B SIbo=864E-15552 (0E0;BK= 1A89= 0@<0BC@K= B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= AB0B8:89= <><5=B  EMBED Equation.3 * SIso=97.6E-1757 !C=0;BK= 1A89= 0@<0BC@K= B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= AB0B8:89= <><5=B  EMBED Equation.3 * Sso=4017-31.2x !C=0;BK= 1A89= 15B>=K B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= AB0B8:89= <><5=B Abt* EMBED Equation.3  -43MM@ >;A>= 8;M@E89;M;4893 0H83;0= E-89= CB3K3 B>4>@E>9;JQ. 55.8866A<>hIf=36A< 3B;>;K= 4MM4 1A89= 8@<M3B E0@30;70E H8;6;AM= >3B;>;K= E0@8<E09-=0;0@E09 MAM@3F;89= <><5=BK3 40@00E B><JQ>3>>@ BL>4>@E>9;=>.  EMBED Equation.3  EMBED Equation.3  (0E0;BK= 1A89= B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= 8=5@F89= <><5=B  EMBED Equation.3  !C=0;BK= 1A89= 0@<0BC@K= B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= 8=5@F89= <><5=B  EMBED Equation.3 193476.27A<4 (0E0;BK= 1A89= 0@<0BC@K= B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= 8=5@F89= <><5=B  EMBED Equation.3 163403A<4 !C=0;BK= 1A89= 15B>=K B0;109= 7003;0E BM=E;M3B E0@LFCC;A0= AB0B8: <><5=B  EMBED Equation.3 65336.37A<3 -43MM@ >;A>= CB3CC400@ 4MM4 1A89= 8@<M389= E0@8<E09-=0;0@E09 MAM@3F;89= <><5=B893 B>4>@E>9;JQ.  EMBED Equation.3 108343.9A<3 IV-IV >3B;>;K= 35><5B@89= EM<6834ME=893 B>4>@E>9;;>>. CA04 >3B;>;K= 35><5B@89= EM<6834ME=893 =M3M= 048;00@ B>4>@E>9;6, @ 4=3 =L EA=M3BM4 18G;MM. 0<=CC@K= >3B;>;K= 35><5B@89= EM<6834ME=4 3B;>;Ared, A<2y0, A<Jred, A<4Wred, A<3WIred , A<3WPL, A<3WIPL, A<30-0270752.36189273142173407827380271369I-I336065.8337495846645064428116289112749II-II208868.124218672722456529810704087766III-III208876.7158215208854079249126609103040IV-IV208879.5164365009444683410133072108344V-V208889.738763194113944100862156479126386 @<0BC@K= 0@L4G8;0= EG4MB3M;89= 0;4034;K3 B>4>@E>9;>E @<0BC@K= C@L4G8;0= EG8B3M; =L 40@00E H00@4;03K3 E0=30E QAB>9.  EMBED Equation.3  -=4: -0@<0BC@K= C@L4G8;0= EG8B3M;89= 72H@34E EM;1M;7M;. @<0BC@K3 <5E0=8: 0@300@ EG8B3ME 54:  EMBED Equation.3  EF;893 H0;30O. 1.  EMBED Equation.3 + =740+26=766<Rsn=7850 2.  EMBED Equation.3 - =740-26=714>0.3* Rsn=235.50 =EF; E0=303406 109=0. IV-IV >3B;>;K= 0@<0BC@K= C@L4G8;0= EG8B3M;89= 0;4034;K3 B>4>@E>9;JQ. =E403G 0;40340;CC4: (8;1M= 0@<0BC@K= EG4M;89= A00@0;B00A:  EMBED Equation.3 0.1*740-20=540 "5<?5@0BC@K= C=0;B00A AME 0;40340;:  EMBED Equation.3 =81 =:5@ 10 30= EM289= EM2 3068;B00A AME 0;40340;:  EMBED Equation.3 380 -=4:  EMBED Equation.3 =1.25+0.15d=4<< @<0BC@ 10 15B>=K E>>@>=4K= @M;MMA AME 0;40340;. @<0BC@K3 BC;3CC@ 4MM@ G0=30;0E 54 M=M 0;40340; O20340E39.  EMBED Equation.3  5B>=K B@3M= EC30F00=4 G20340E 0;40340;:  EMBED Equation.3  3B;>;K= =4@8= 403CC 40@00E FM34M4 0;4034;K3 B>4>@E>9;JQ. %G8B3MAM= 0@<0BC@K= E=489= B289= B2H8=4: y=ysp=y0-hb/2=506<< (0E0;BK= 15B>=K 8@<M389= B2H8=4: y=h-y0=761.6 (0E0;BK= 1A89= 0@<0BC@K= E=489= B289= B2H8=4: y=h-y0-ht/2=602 "CE09= 0;4034;K3 >;>EK= BC;4 70@8< E>;1>34>E EM<6834ME=893 B>4>@E>9;JQ. %G8B3MAM= 0@<0BC@K= E02G8;BK= EG893  EMBED Equation.3 0;4034;CC4K3 1>4>;F>= B>4>@E>9;JQ.  EMBED Equation.3 801990 @<0BC@K= C@L4G8;0= EG4MB3M; 15B>=4 334E 589= 0@<0BC@K= B2H8=4 E0@30;70E 15B>=K EG4M;893 B>4>@E>9;JQ.  EMBED Equation.3 6.160 -=4: Lop=ysp=506<< Mwn=0.5*gn*L0*x-0.5gn*x2=230:< (0E0;BK= 15B>=K 8@<M39= B2H8=4 (y=h-y0=761.1<<)  EMBED Equation.3 2.190 (0E0;BK= 1A89= 0@<0BC@K= E=489= B289= B2H8=4 (y=602<<)  EMBED Equation.3 2.710  EMBED Equation.3   EMBED Equation.3  109E QAB>9 BC;  EMBED Equation.3   EMBED Equation.3  54  EMBED Equation.3 - B><JQ>3>>@ 1>4=>.  EMBED Equation.3 8.730  EMBED Equation.3 3.80  EMBED Equation.3 3.10 =E403G =89;1M@ 0;40340;:  EMBED Equation.3 200.10 =E403G 0;40340; O2034A0=K 40@00E EG8B3MAM= 0@<0BC@K= E02G8;BK= EG893 >;JQ.  EMBED Equation.3 797475.4  EMBED Equation.3 588<< -=4: ys=y0-hf/2=590<< ysI=h-y0-hfI/2=702<< %>Q@4>3G 0;4034;CC4: @<0BC@K= A00@0;B00A:  EMBED Equation.3  5B>=K 03H8;B00A:  EMBED Equation.3 410 5B>=K ?>;7CG5ABL-00A AME 0;40340;. %G8B3MAM= 0@<0BC@K= E=489= B289= B2H8=4 E0@30;70E 15B>=K EG4M; (y=ysp=590 ).  EMBED Equation.3 4.20 (0E0;BK= 15B>=K 8@<M39= B2H8=4 E0@30;70E 15B>=K EG4M; (y=h-y0=761.1<<)  EMBED Equation.3 0.280 (0E0;BK (y=602)  EMBED Equation.3 0.74  EMBED Equation.3   EMBED Equation.3 22.3  EMBED Equation.3 3.9  EMBED Equation.3 1.5 :  EMBED Equation.3  :  EMBED Equation.3 63.1 :  EMBED Equation.3 262.8>100 .( EMBED Equation.3 )  EMBED Equation.3 696178.76 P2- :  EMBED Equation.3 663 . 3 . (=3). . h0,sup=1000-180=820 h0= EMBED Equation.3  .  EMBED Equation.3  2=686.4 Q=310.8 2 . Q EMBED Equation.3 2.5Rbt*b*h0  EMBED Equation.3  1- 2.5*1.08*250*820=553.5>282.51 . 2- . .  EMBED Equation.3   EMBED Equation.3 =334.5>Q=282.51 . . 26 -III (Asw=572 ) .      2* . 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ObjInfoEEquation Native F@_1194223030F~y~yOle GCompObjHfObjInfoJEquation Native K_1194223540F~y~y FMicrosoft Equation 3.0 DS Equation Equation.39qQtIp}I M 1 ="8.38kHmM 2 =6.7kHm FMicrosoft Equation 3.0 DS EqOle NCompObjOfObjInfoQEquation Native RDuation Equation.39qQ(0IoI R 3 ="3*6.7(1"0.328 2 )"3*8.381+0.050.328()2*12.8(1+0.05+0)=0.41_1193242214kF~y~yOle XCompObjYfObjInfo[ FMicrosoft Equation 3.0 DS Equation Equation.39q8@nI=0N 0"1 =N 1"0 =N 1"2 =N 2"1 =0M 1"0 =M 1"2 ="3.612M 2"1 ="11.008Q 2"1 ="0.86 FMicrosoft Equation 3.0 DS EqCompObj?fObjInfoAEquation Native B[_1194465686/F~y~yuation Equation.39q?XdP R 1 ="3M(1" 2 )2H(1+k+k 1 )="3*86(1"0.328 2 )2*12.8(1+0.05+0)="8.56Ole HCompObjIfObjInfoKEquation Native Lw FMicrosoft Equation 3.0 DS Equation Equation.39q[l R 2 ="3M(1" 2 )2H(1+k+k 1 )=3*374.78(1"0.328 2 )2*12.8(1+0.05+0)=37.318.56 FMicrosoft Equation 3.0 DS Equation Equation.39q.H,N  1 ="R 1 p  /c dim "_1194465824"F~y~yOle RCompObj!#SfObjInfo$UEquation Native VJ_1194467340 *'F~y~yOle \CompObj&(]fr 11 ="28.753.5*15.05*10 "3 *  ="545.8  FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo)_Equation Native `<_1194467746,F~y~yOle e dP R e1 =R 1 + 1 "R 1 ="8.56"545.8  *3.85*10 "3 *  ="10.66 FMicrosoft Equation 3.0 DS Equation Equation.39qCompObj+-ffObjInfo.hEquation Native i4_1194467761%>1F~y~yhL R e2 =R 1 + 1 "R 1 =37.31"545.8  *7.35*10 "3 *  =33.3 FMicrosoft Equation 3.0 DS EqOle nCompObj02ofObjInfo3qEquation Native r uation Equation.39qX R e3 =R 1 + 1 "R 1 ="545.8  *3.85*10 "3 *  ="2.1_11944735376F~y~yOle wCompObj57xfObjInfo8z FMicrosoft Equation 3.0 DS Equation Equation.39qY_dP M 0"1 =M 1 =0M 1"0 =R e1 *H 2 ="10.66*4.2="44.772M 1"2 =M 1"0 +Equation Native {u_1194468307;F~yyOle CompObj:<fM min ="44.772+86=41.228M 2"1 =R e1 *H+ min ="10.66*12.8+86="50.448 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo=Equation Native _11944687959C@FyyOle ؘL N 0"1 =N 1"0 =0N 1"2 =N 2"1 =143.33Q 2"1 ="10.66 FMicrosoft Equation 3.0 DS EqCompObj?AfObjInfoBEquation Native _1194469032EFyyuation Equation.39qsM M 0"1 =0M 1"0 =33.3*4.2=139.86M 1"2 =139.86"374.78="234.92M 2"1 =33.3*15.2"374.78=131.38N 0"1 =N 1"0 =0N 1"2 =N 2"1 =499.7Q 2"1 =33.3 FMicrosoft Equation 3.0 DS Equation Equation.39q      !"#h&'()*+,-./021435678:9;=<>@B]ACDFEHGIJKLMNPOQRSTUVXWYZ[\^` _bacdefijklmnopqrstuvwxyz{|}~n2xf )ǔդZ5PT#`!Lf )ǔդZ5P.8xcdd``gd``beV dX,XĐ URcgb j@ UXRYL av@Hfnj_jBP~nbQKt@ڈgfb($1Q?&2n.F&#(B0+42@penR~̅.=7[KC~g$ѥǘ@z|&\а8``cI)$5jd3RDd TB p S AK? o2`s]Ι.ȟg<#`!4s]Ι.ȟg` PXJxcdd`` @bD"L1JE `xX,56~) M @ k+8 UXRYvo`0L`A $37X/\!(?716%@y m Rl5A?&0nF3F&#I9 L0@3]b [ 0F7 .hXq%=`dbR ,.Iͅ u`u&LJCDd |B q S AL? p2`>g#`!`>g` OxR1JQ}3k&bXK 4MM`E HY4A\e`̛?o|Bp `|X1F4H4RggueNcY֑"Ļ }1%)vW0U|ܒ2YÃ:'YF>:\ni-eoLd]זof^NzAEY7)SŐ Zrx2ȋ,1{z>M&OmFv]S%E\TPō^7q@RȣIZ?+qIT䴭GRm5Ƕ#lsCzF-e[l(}|3^˕dt{ki=C**VV*%O ۤդSnjp5nF8kJ\w9J|FBČ-#]uە;`JdL0ߑl~u:`ҟy ITw|gqB>Rg;݀3?>)J/yGU9 y(Vz>d3Ȼ8.7"Cm.7juj[B尒 Dd LB s S AN? r2u5dw@AQ\ #`!I5dw@A> hxcdd``gd``beV dX,XĐ  Ad l@깡jx|K2B* R *3 vL@(\_(~2N)T_?׿8+H-ዢeZZsdFI, =APk1`@T&2pAÞ ?`!((#RpeqIj.,d1UqDd TB t S AO? s2OYY>*2T+g #`!#YY>*2Tj@  XJxMPjQ3OC$aDRR*  ^ (l; +OH/ew".<ΰ;oʀwh@AN+(Kd sΘ650߫ro^]b Op@IoEpJ>Sp]DG mʻ_3/2[`& (wыypʡAAteoQNgd~n.u>}bB%CGKO̭iIo2$,P3:3Dd hB u S AA? t2l s}&=50$yL #`!ql s}&=50$` @.|?x=KAߙ}Aaa#,$)IR+Z/R:r}MIU[6zfe5[zT~pG݄i<Jd+ =-j[NE^T@[5R3Y~r܁rV{<M/{OއV~MԅEN?ͣ{G~-b7Dd 4hB v S AB? u2Reo3ze}#`!uReo3ze @X|Cxcdd``gd``beV dX,XĐ ɁIWRcgb g@P5< %! `0d W&00ri# %p: w/pz&~ C bg`M-VK-WMc`X$FI_&A|C81 F_- ،N 833*ߍG#!0h֓{.p4=Ĥ\Y\ 1 `u7fS7Dd  hB w S AC? v2$C`UKp*e3}#`!u$C`UKp*e3 @|Cxcdd``gd``beV dX,XĐ Ɂ A?d-< πjx|K2B* R*35;a& Ma`ٯ F\ AJl u8ocL{㷗p0ZpAZZIp.M2󯰃p9T(Z1  =ApSfTGB6a' \,h 0y{)I)$5b*eDd pB x S AP? w27<'!O=E#`! <'!O=E ( >x]hWfݘՒk* A|F[`?JJ)A U(4>* b5BH RD4b]J,νs{NboΙ{ %!3FJDėaʈ?R eQoMvtțjAzI$MďV|u=J^if7p+6j|CeaD'} Ʋvgd).ϹUO{8l*_؎yh~_nUa\/1pR!2=Bd98C \3^(((8cH_8cH##ɾ$URh)'=6!$3ճϒP2e!WWE_IyܣRoOgB\mQ{#Om< 'p:Y:Rz/^~(%oi/$5?*#)^7;qϽt7vԆ*FfTF02 8rgaZFuU;~AbBz*ea8CuO5%K?.]d p W]/:p<\u'\X/@HߵguOgu/j(\;{0_]̿98~΂+r/+1(o[<7״G-gLZ .72ޤMZ2BlAl|`faze[8~0dY_b&<21auNSPV.y>>gYg2Ǒ?X|~|Տ~,ֻl?2q~/^@ ~ @s"{ẏ\̞yvA"l`^6$ykt՛:蓌]2?1sb& giHnDd 8B y S AQ? x2c_\ZS ?#`!7_\ZS @x$v xMHQgfMvxh`HxI(lK(<;Tŵriݝ+܅jyC*[QـGNxˑVt&s"j8cwv^?Wz^Ӥd m~ss|>y7r^ɧ{9W umpcMv8_8-Y?O_{g2 cJ闧Ls>9g!5#sjy |},uC#tφSu!b}}TsvOS~-Dd pB z S AR? y2<B`#|Vq W#`!B`#|Vq W ( >x[hUefvf\kl+dćy0Ex{14PN[h@lňk//>>x -X bAFD33ߗ(5awnCG?mK1ueFCY$8wZ2+|v'wҫN&2 G.BSONt irMy #3qIn=!U~pTGlj>ǗjƗEW&5 C$cOsy\V"2]Y 30O }dWHi:gH(7 ?Z=J {2(9+e1‘hWfE{gZM/{vd+K VCJ2nO15GuoN|Pw{CYۙ2ktDO~Nŷ7a;TD+#*k["a}(r/ (g_ w *xopY^1fٞ0{fHl;&uabԱL-밨sUU2<?5΂䋃' 7~NbV_6*I~Hyg]ֿg]YtN@L?m/o<;Q}~[2Q8SbU^`e̺X7cQ;}ƀ4]杖٥x[׺IDd B { S AS? z2 N2K6کB #`! 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Ȏ\:]/P:Z?H TG Z3 7|8Dd b  c $A? ?3"`?2<l5(75Ib#`!l5(75Ib:``!!xcdd`` @c112BYL%bpu14 FMicrosoft Equation 3.0 DS EqObjInfoEquation Native _1194736430F@y@yOle (  CompObjfObjInfoEquation Native _1194738303F@y@yuation Equation.39q{~] J=2bh br3 12+bh br C2() 2 []=260*25 2 12+60*25952() 2 []=67.75*10 5  4 FMicrosoft Equation 3.0 DS Equation Equation.39q؎d0  l =1+M 1l M 1 =1+1*94.354447.1Ole CompObjfObjInfoEquation Native =1.21<1+=2 FMicrosoft Equation 3.0 DS Equation Equation.39q   .min =0.5"0.01*1650120"0.01*1.1*8_1194738343F@y@yOle CompObjfObjInfoEquation Native _1194738487F@y@yOle CompObjf.5=0.27 FMicrosoft Equation 3.0 DS Equation Equation.39q؎  e =10.98/120=0.09< e.min =0.27ObjInfoEquation Native _1194738585F@y@yOle  FMicrosoft Equation 3.0 DS Equation Equation.39qe   = e.min =0.27"CompObjfObjInfoEquation Native _1194738677F@y@yOle CompObjfObjInfoEquation Native ) FMicrosoft Equation 3.0 DS Equation Equation.39q $  FMicrosoft Equation 3.0 DS Equation Equation.39q_1194738743F@y@yOle CompObjfObjInfoEquation Native _1194738939F@y@yOle CompObjf  J s =0.0065*60*25952() 2 *2=43996.88 4 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoEquation Native _1194739390F@y@yOle hal^ N cr =6.4E B l 02 J e 0.110.1+ e  sp +0.1()+"J s []=6.4*20500001650 2 *67.75*10 5 1.210.110.1+0.271+0.1()+9.77*43996.88[]==10927421.97H=10927.422 FMicrosoft Equation 3.0 DS Equation Equation.39qCompObjfObjInfoEquation Native _1194739643F@y@Ljy|^ =11"NN cr =11"764.52410927.422=1.1 FMicrosoft Equation 3.0 DS Equation Equation.39qOle CompObjfObjInfoEquation Native    !$'(+./014789:;>ABEJOTWXYZ]`abcdefilorsvyz{|T N br =N2M*C=764.524283.954*1.10.95=382.26297.21 FMicrosoft Equation 3.0 DS Equation Equation.39q_1194739960F@Ljy@LjyOle CompObjfObjInfofO M ds =Q*S2=51.229*1.952=49.95 FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native  _1194740146F@Ljy@LjyOle  CompObj fObjInfoEquation Native _1194740265F@Ljy@LjyOle  Q ds =Q*SC=51.229*1.950.95=105.15 FMicrosoft Equation 3.0 DS Equation Equation.39qCompObjfObjInfoEquation Native _1194776029F@Ljy@Ljym M bl =Q*S4=51.229*1.954=24.975 FMicrosoft Equation 3.0 DS Equation Equation.39q~4^ e 0 =MOle CompObjfObjInfoEquation Native  bl /N bi =24.975/2850.9=0.87 FMicrosoft Equation 3.0 DS Equation Equation.39qtB  0 +h br 2"a=1+25_1194776962(F@Ljy@LjyOle "CompObj#fObjInfo%Equation Native &_1194777755F@Ljy@LjyOle )CompObj*f2"4=9.5 FMicrosoft Equation 3.0 DS Equation Equation.39qPHd2  n =N b2 *R b *b*h 0 =4794721.1ObjInfo,Equation Native --_1194777778F@Ljy@LjyOle 2*850*60*21=1.35> R =0.611 FMicrosoft Equation 3.0 DS Equation Equation.39q[G4>  s = n eh 0 "1+CompObj3fObjInfo5Equation Native 6w_1194777854F@Ljy@Ljy n 2()1" i =1.359.521"1+1.352()1"0.1904=0.24>0 FMicrosoft Equation 3.0 DS Equation Equation.39qOle <CompObj=fObjInfo?Equation Native @w   i =a i /h 0 =4/21=0.1904 FMicrosoft Equation 3.0 DS Equation Equation.39q (HG _1194777912F@Ljy@LjyOle CCompObjDfObjInfoFEquation Native G)_1194777994F@Ljy@LjyOle HCompObjIf FMicrosoft Equation 3.0 DS Equation Equation.39q l^  FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoKEquation Native L)_1194778030F@Ljy@LjyOle MCompObjNfObjInfoPEquation Native Q)_1194778058F@Ljy@Ljy 2  FMicrosoft Equation 3.0 DS Equation Equation.39q =1.35*(1"0.611)+2*0.2Ole RCompObjSfObjInfoUEquation Native V4*0.6111"0.611+2*0.24=0.95> R =0.611 FMicrosoft Equation 3.0 DS Equation Equation.39q{l^ NR s_1194778861F@Ljy@LjyOle [CompObj\fObjInfo^Equation Native __1194779636F@Ljy@LjyOle gCompObjhf *eh 0 " n 1"2()1" i =47947236500*9.521"0.951.351"0.952()1"0.1904=3.29 2 FMicrosoft Equation 3.0 DS Equation Equation.39qRL  60 2 12  =17.32 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo jEquation Native kn_1194779812 F@Ljy@LjyOle mCompObj  nfObjInfopEquation Native q_1194780181F@Ljy@LjyQT. =L 0 /i=880/17.32=50.81H" red =51.6 FMicrosoft Equation 3.0 DS Equation Equation.39qOle tCompObjufObjInfowEquation Native x! 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C D#" ?&\B / C D#" ?]hB 1 c $D#" ?hB 2 c $D#" ?%hB 3@ c $D#" ?T\B 4 C D#" ?P\B 5 C D#" ?Q\B 6 C D#" ?\B 7 C D#" ?\B 9 C D#" ?8\B : C D#" ?B\B ; C D#" ?D\B < C D#" ?`\B = C D#" ?\\B > C D#" ?M\B ? C D#" ?L\B B C D#" ?$\B D C D#" ?\B E C D#" ?\B F C D#" ?A\B G C D#" ?H\B H C D#" ?#\B I C D#" ?7\B J C D#" ?[\B K C D#" ?c\B L C D#" ?\B M C D#" ?@\B N C D#" ?\B O C D#" ?R P S JA,Light upward diagonal#" ?U\B R C D#" ?\B S C D#" ? \B T C D#" ?J\B U C D#" ?K V S JA,Light upward diagonal#" ?V W S JA,Light upward diagonal#" ?> X S JA,Light upward diagonal#" ?  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C D#" ?\B " C D#" ?zbB # S D#" ?yP $ # #" ?~<2 % #" ?<2 & #" ?P ( # #" ?P ) # #" ?P + # #" ?P , # #" ?P - # #" ?}\B . C D#" ?bB / S D#" ?\B 0@ C D#" ?|\B 1@ C D#" ?\B 2@ C D#" ?\B 3@ C D#" ?\B 4@ C D#" ?\B 5@ C D#" ?hB 6 c $D#" ?{hB 7 c $D#" ?hB 8 c $D#" ?hB 9 c $D#" ?hB : c $D#" ?hB ; c $D#" ?\B < C D#" ?hB = c $D#" ?P > # #" ?P ? # #" ?P @ # #" ?P A # #" ?P B # #" ?P C # #" ?bB F S D #" ? K S <ALight vertical#" ? L c TA0Light downward diagonal#" ?  M S JA,Light upward diagonal#" ? bB N S D #" ?bB Q S D #" ? bB R S D #" ?\B S C D#" ?\B T C D#" ?P U # #" ?P V # #" ?\B W C D#" ?\B X@ C D#" ?\B Y@ C D#" ?hB Z c $D#" ?hB [ c $D#" ?hB \ c $D#" ? \B ] C D#" ? \B ^ C D#" ?\B _ C D#" ?\B ` C D#" ?\B a C D#" ?\B b C D#" ?\B c C D#" ?hB d c $D#" ?"hB e c $D#" ? hB f c $D#" ?hB g c $D#" ?!\B i C D#" ?[\B j C D#" ?\\B l@ C D#" ?!\B p C D#" ?'\B q C D#" ?&\B r C D#" ?(\B s C D#" ?$\B t C D#" ?%bB u S D>#" ?2bB v S D>#" ?1bB w S D>#" ?0\B x C D#" ?;\B y C D#" ?: z s VA,Light upward diagonal#" ?9 { s VA,Light upward diagonal#" ?< | s VA,Light upward diagonal#" ?8\B } C D#" ?7\B ~ C D#" ?6bB @ S D#" ?*bB  S D#" ?)\B @ C D#" ?=\B  C D#" ?b  c FA"Light horizontal#" ?#  @ BCDEFA"` @`Light horizontals"*?/  BCDEFA"` @`Light horizontals"*?.b @ c FA"Light horizontal#" ?"<  #" ?,<  #" ?4<2  #" ?3<2  #" ?+\B  C D#" ?5\B  C D#" ?-\B  C D#" ?C\B  C D#" ?B\B  C D#" ?D\B  C D#" ?@\B  C D#" ?AbB  S D>#" ?NbB  S D>#" ?JbB  S D>#" ?M\B  C D#" ?W\B  C D#" ?V  s VA,Light upward diagonal#" ?U  s VA,Light upward diagonal#" ?X  s VA,Light upward diagonal#" ?T\B  C D#" ?S\B  C D#" ?RbB @ S D#" ?FbB  S D#" ?E\B @ C D#" ?Yb  c FA"Light horizontal#" ??b @ c FA"Light horizontal#" ?><  #" ?H<2  #" ?G\B  C D#" ?I   BCDEFA" @`Light horizontals"*?L @ BCDEFA" @`Light horizontals"*?K<  #" ?P<2  #" ?O\B  C D#" ?QVB  C D"?`VB  C D"?]VB  C D"?_\B  S D>"?kbB  S D>#" ?l\B  S D>"?j  s VA,Light upward diagonal"?v  s VA,Light upward diagonal#" ?x  s VA,Light upward diagonal"?wVB  C D"?tVB  C D"?ubB @ S D#" ?dbB  S D#" ?c\B @ C D#" ?y\B  S D"?bVB  C D"?aVB  C D"?^b  S @A"Light horizontal#"  ?\.  # BCDEFA" @`Light horizontal"0  ?i6  "?n62  "?p62  "?fb @ S @A"Light horizontal#"  ?[6   "?o\B   S Do"?hb @ S @A"Light horizontal#"  ?Z6  "?e6  "?s62  "?r.  # BC DEFA"   @`Light horizontal"0  ?g62  "?m6  "?qVB  C D"?VB  C D"?~VB  C D"?\B  S D>"?bB  S D>#" ?\B  S D>"?  s VA,Light upward diagonal"?   s VA,Light upward diagonal#" ? ! s VA,Light upward diagonal"?VB " C D"?VB # C D"?bB $@ S D#" ?bB % S D#" ?\B &@ C D#" ?\B ' S D"?VB ( C D"?VB ) C D"?\B 1 S Do"?\B =@ S D"?bB A c $D"?}bB B c $D"?bB C c $D"?VB D C D"?VB E C D"?VB F C D"?\B G@ S D"?. H # BC DEFA"   @`Light horizontal"0  ?|6 I "?62 J "?\B K S Do"?\B L@ S Do"?. N # BCDEFA" @`Light horizontal"0  ?{\B O S Do"?62 P "?b Q S @A"Light horizontal#"  ?z62 R "?\B S S Do"?VB T C D"?VB U C D"?VB V C D"?\B W S D>"?bB X S D>#" ?\B Y S D>"? Z s VA,Light upward diagonal"? [ s VA,Light upward diagonal#" ? \ s VA,Light upward diagonal"?VB ] C D"?VB ^ C D"?bB _@ S D#" ?bB ` S D#" ?\B a@ C D#" ?\B b S D"?VB c C D"?VB d C D"?\B e S Do"?b y S @A"Light horizontal#"  ?. z # BCDEFA" @`Light horizontal"0  ?b {@ S @A"Light horizontal#"  ?. | # BpC DEFA"p   @`Light horizontal"0  ?b  S @A"Light horizontal#"  ?62  "?62  "?62  "?62  "?6  "?6  "?6  "?VB  C D"?VB  C D"?VB  C D"?\B  S D>"?bB  S D>#" ?\B  S D>"?  s VA,Light upward diagonal"?  s VA,Light upward diagonal#" ?  s VA,Light upward diagonal"?VB  C D"?VB  C D"?bB @ S D#" ?bB  S D#" ?\B @ C D#" ?\B  S D"?VB  C D"?VB  C D"?\B  S Do"?b  S @A"Light horizontal#"  ?b  S @A"Light horizontal#"  ?62  "?62  "?\B  S Do"?\B  S Do"?.  # BCDEFA" @`Light horizontal"0  ?62  "?6  "?VB  C D"?VB  C D"?VB  C D"?\B  S D>"?bB  S D>#" ?\B  S D>"?  s VA,Light upward diagonal"?  s VA,Light upward diagonal#" ?  s VA,Light upward diagonal"?VB  C D"?VB  C D"?bB @ c $ZD"?\B @ C D#" ?bB  c $ZD"?VB  C D"?VB  C D"?\B  S Do"?VB  C D"?VB  C D"?VB  C D"?\B  S D>"?bB  S D>#" ?\B  S D>"?  s VA,Light upward diagonal"?  s VA,Light upward diagonal#" ?  s VA,Light upward diagonal"?VB  C D"?VB  C D"?\B @ C D#" ?VB  C D"?VB  C D"?\B  S Do"?bB  c $ZD"?bB  c $ZD"?2 @ BDENGvHI3>Q \D-*\D-*3>`T\D-*3>`T"?2 @ BDENGvHI3>Q \D-*\D-*3>`T\D-*3>`T"?VB  C D"?VB  C D"?VB  C D"?\B  S D>"? bB  S D>#" ?\B  S D>"?   s VA,Light upward diagonal"?  s VA,Light upward diagonal"?  s VA,Light upward diagonal"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?\B  S Do"?VB  C D"?b  S @A"Light horizontal#"  ?b  @ S @A"Light horizontal#"  ?.  # BCDEFA" @`Light horizontal"0  ?@  @ 3 BCDEFA" @`Light horizontal"<  ?VB  C D"?VB  C D"?VB  C D"?\B  S D>"?)bB  S D>#" ?*\B  S D>"?(  s VA,Light upward diagonal"?7  s VA,Light upward diagonal#" ?9  s VA,Light upward diagonal"?8VB  C D"?5VB  C D"?6\B  @ C D#" ?:VB  C D"?VB  C D"?\B  S Do"?'\B  S D"?\B  S D"?\B  S D"?\B  S D"?\B  S D"? \B  S D"?&\B  S D"?%\B  S D"?,\B ! S D"?.\B " S D"?0\B # S D"?/\B $ S D"?2\B % S D"?1\B & S D"?4\B ( S D"?+\B ) S D"?\B * S D"?-\B + S D"?\B , S D"?3VB - C D"?$VB . @ C D"?#VB 1 C D"?"VB 2 C D"?!\B @ S Do"?WVB F C D"?AVB G C D"?>VB H C D"?@\B I S D>"?LbB J S D>#" ?M\B K S D>"?K L s VA,Light upward diagonal"?S M s VA,Light upward diagonal#" ?U N s VA,Light upward diagonal"?TVB O C D"?QVB P C D"?RbB Q @ S D#" ?EbB R S D#" ?D\B S @ C D#" ?V\B T S D"?CVB U C D"?BVB V C D"??\B W S Do"?J\B ] S Do"?GF g # BC DE F*A"8$ h  @`Light horizontal"0  ?=\B h @ S Do"?Ib i @ S @A"Light horizontal#"  ?<\B j @ S Do"?HX k 3 BC DE F*A"8$ h  @`Light horizontal"<  ?;\B l @ S Do"?F6 m "?P6 n "?O6 o "?N6 q "? 6 r "?6 s "?62 t "?62 u "? 62 v "? 6 y "?6 z "?6 { "?VB | C D"?VB } C D"?\B  S D"?\B  S D "?  vB8CDE(F xih<XhH;8 @   C"?  ~B8ChDEFhh,8h@  #" ?6  # BxCTDEFAxxTTx @`Light vertical"<  ?\B  S DjJ"?\B  S D "?\B  S D "?VB  C D"?jVB  C D"?fVB  C D"?eVB  C D"?dVB  C D"?gVB  C D"?zVB  C D"?{VB  C D"?|VB  C D"?XVB  C D"?YbB  c $D"?_\B  S D "?qVB  C D"?VB  C D"?vVB  @ C D"?yVB  C D"?xVB  C D"?tVB  C D"?VB  C D"?wVB  C D"?VB  C D"?VB  C D"?VB  C D"?uVB  C D"?VB  C D"?VB  C D"?VB  C D"?~VB  C D"?VB  C D"?VB  C D"?sbB  c $D"?rbB  c $D"?}bB  c $D"?VB  @ C D"?pVB  @ C D"?bB  c $D"?oVB  @ C D"?bB  c $D"?\B  S D "?VB  C D"?]VB  C D"?\VB  C D"?ZVB  C D"?[bB  c $D"?`bB  c $D"?cbB  c $D"?bbB  c $D"?a\B  S D "?m\B  S D "?lVB  C D"?k  # .BCpDEDFNA*T88ppddHH,T$(@`Dark upward diagonal"0  ?n\B  S D "?VB  C D"?VB  C D"?VB  C D"?VB  C D"?bB  c $D"?bB  c $D"?bB  c $D"?bB  c $D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?\B  S D "?\B  S D "?\B  S D "?\B  S D "?\B  S D "?\B  S D "?6  "?VB  C D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?  S LA.Dark downward diagonal#"  ?  S LA.Dark downward diagonal#"  ?\B  S D "?\B  S D "?VB  C D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?bB  c $D"?bB  c $D"?bB  c $D"?VB  C D"?VB  C D"?\B  @ S D "?\B  @ S D "?\B  @ S D "?\B  @ S D "?VB  C D"?VB  C D"?VB  C D"?VB  C D"?bB  c $D"?bB  c $D"?bB  c $D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?bB  c $D"?bB  c $D"?bB  c $D"?VB  C D"?VB  C D"?bB  c $D"?bB  c $D"?bB  c $D"?VB # C D"?VB $ C D"?VB % C D"?VB & C D"?VB ) C D"?VB * C D"?VB + C D"?VB , C D"?VB - C D"?VB . C D"?VB / C D"?VB 5 C D"?VB 6 C D"?VB 7 @ C D"?VB 8 C D"?VB 9 C D"?VB ; C D"?VB < C D"? VB = C D"? VB > C D"?VB @ C D"?VB A C D"? VB C C D"? VB D C D"?VB E C D"?VB F C D"?VB G C D"?VB H C D"?bB I c $D"?bB J c $D"?bB K c $D"?VB L @ C D"?VB M @ C D"?bB N c $D"?VB O @ C D"?bB P c $D"?VB \ C D"?\B ^ S D "?VB  C D"?!VB  C D"?"VB  C D"?#bB  c $D"?(bB  c $D"?'VB  C D"?)bB  c $D"?+bB  c $D"?-bB  c $D"?,VB  C D"?*VB  C D"? VB  C D"?VB  C D"?6  "?6  "?6  "?\B  S D"?\B  S D"?\B  S D"?\B  S D"?\B  @ S D"?\B  S D"?\B  S D"?\B  S D"?\B  S D"? VB  C D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?VB  C D"?\B  S D"?  BCDEFZH@  #" ?  nBChDEF h88 @#" ?  tBChDEF h88 @C"?^VB  @ C D"?3VB  C D"??VB  C D"?MVB  C D                          ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u v w { | } ~  "?26  "?96  "?8VB  C D"?i\B  S D"?hVB  C D"?6  "?:6  "?>6  "?=6  "?7\B  S D "?16  "?6  ~BhCDE F(hh88@#" ?5VB  C D"?P\B  S D "?K\B  S D "?J\B  S D "?I\B  S D "?H\B  S D "?G\B  S D "?F\B  S D "?E\B  S D "?D\B  S D "?B\B  S D "?C\B  S D "?AVB  C D"?ZVB  C D"?NVB  C D"?OVB  C D"?YVB  C D"?XVB  C D"?WVB  C D"?VVB  C D"?UVB  C D"?TVB  C D"?SVB  C D"?RbB  c $D"?abB  c $D"?`bB  c $D"?_bB  c $D"?^bB  c $D"?]bB  c $D"?\\B  S D "?@VB  C D"?Q\B  S D"?g\B  @ S D"?fbB  @ c $D"?[VB  C D"?0VB  C D"?c\B  S D"?4\B  S D"?e\B  S D"?/\B  S D"?dVB  C D"?.VB  C D"?bVB  @ C D"?<VB  @ C D"?LbB  c $D"?;  S HA*Dark upward diagonal#"  ?u  S HA*Dark upward diagonal#"  ?mVB  C D"?pVB  C D"?obB  c $D"?qVB  C D"?lVB  C D"?nVB  C D"?tVB  C D"?vbB  c $D"?kbB  c $D"?s  S HA*Dark upward diagonal#"  ?jVB  C D"?rVB  C D"?ibB  c $D"?h\B  S D"?\B  S D"?&\B  S D"?\B  S D"?%\B ! 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