Download - Бутлалтын Схемийн Тооцоо Davga
-
7/24/2019 Davga
1/18
.
. . !
". ! #$
% $
".
&
$ . ' $
( $ % %
.
' $ ) *
. + )* ".
, -/01(23451. 6 789 . :
"% % . % % ;; .
#% . %5= *.*% ) $ .
-
7/24/2019 Davga
2/18
@ AB
A ! $ % C 5>>>
5 D %
@ Dmax B
7>>
( D
5
7 A=
7
10
8 5=
A5
E (=
AE
? : % @
dmax B
F
F : =?7*=
%9
A5
G + ?7*=
9
?8
A> D @HB (.8
-
7/24/2019 Davga
3/18
A.
! $ 5 E . ! $ I
Qx=Qk
=20001.0
19
=105.3 /
Q- % C
k- *$;;$% JK1.0=A.AL
- $ %
1.
S=Dmax
dmax=
400
8=50
Dmax - % L
dmax = % L
5. M )
S=S1S2S3; S=3S=
350=3.7
S1=3 , S2=3 , S3
=5.6 S>S1 , S>S2 , S
-
7/24/2019 Davga
4/18
i6=
D11
Z=
8
1.8=4.44
Z - L
8. M
a1=i
2=102.5
a2=1.2i
4=31.71.2=38.04
a3=D
11=8
1.1.
A=
Q2=Q1 E11a=105.30.60.63=40 /
Q3=Q
1Q
2=105.340=65.3 /
Q
4=Q3 Q
5=Q
1
1a
-@KA>5.8B= $ %
.
E1=0.60.7
.
! I
2=
Q2
Q1100=
40
105,3100=38
3=100
2=10038=62
4=
2;
5=
1
!
A.A
D @B N O =
9
=7>>O(>> F A> A>>
=(>>O5>> A5 5> G5
=5>>OA>> A? (? F>
=A>>O8> 5> 8? E(
=8> 7( A>> 7(
-
7/24/2019 Davga
5/18
0 50 100 150 200 250 300 350 4000
10
20
30
40
5060
70
80
90
100
1. "
6 A.A
# $10% !
A.5
i=A>5.8 M
9
O =
=5>8 > > A>>
=5>8OA?7 > > A>>
=A?7OA87 > > A>>
=A87OA>5%8 A> A> A>>
=A>5%8O?? 5> (> G>
=??O8A 5> 8> ?>
=8AO5E 58 ?8 8>
=5E 58 A>> 58
-
7/24/2019 Davga
6/18
0 26 52 78 104 130 156 182
0
10
20
30
40
50
60
70
80
90
100
2.
6 A.5
1.&. '(
di2 5
d=1d+1
+d+b2d
5d
= 8= d % 9
1d
= A= d % 9
1+d
= A= d % 9
-
7/24/2019 Davga
7/18
1+i
= A= % 9
b2d
=A= % 9
1d , 1
+d , 1+i
= A= .
b= 7=
.
d=26 526
=126
+1+26b2
26=29+0.3725=38
d=1 551=1
51+1
+51b2
51=43+0.3750=61.5
d=!! 577=177+1+77b277=55+0.3770=73.5
d=1"2 5102=1
102+1+102b2
102=63+0.3790=96
d=1#" 5130=1
130+1+130b2
130=69+0.3198=100
A.5.A
D @B N O =
9=A(> OA>5 7 4 100=A>5 O?? 55.8 26.5 96=?? O8A A5 38.5 73.5=8A O5E 5(.8 62 61.5
=5E (F 100 38
0 26 52 78 104 1300
10
20
30
40
50
60
70
80
90
100
). *+
6 A.5.A
-
7/24/2019 Davga
8/18
Q6Q
7 I
Q6=Q51aE
a=105.30.520.82=45 /
, $
I Ea=0,80,85 .
Q7=Q5Q6=105.345=60.3/
, $1&% -
!
A.5.5
i=(A.? M
9
O =
O?G.( ( 3 100
=?G.( O?A.(5 8 8 97=?A.(5 OE(.7 E 14 92=E(.7 O7?.E AE 30 86
=7?.E O(G.E5 A> 40 70=(G.E5 O(A.? A> 50 60=(A.? OA8.F8 (> 80 50=A8.F8 O?.G5 A8 95 20
=?.G5 8 100 5
-
7/24/2019 Davga
9/18
0 10.2 20.4 30.6 40.8 51 61.2 71.4 81.6 91.8 102
0
10
20
30
40
50
60
70
80
90
100
. "
6 A.5.5
G= .
D 8= P, .
di4 5d=5d+5+d+b4d
d=!.$2 57.92=1
7.92+1+31.7b2
7.92=10+0.545=12.7
d=1.% 515.85
=115.85
+1+31.7b2
15.85=25+0.5420=35.8
d=#1.! 531.7=1
31.7+1+31.7b2
31.7=52+0.4850=72
d=#$.62 539.62
=139.62
+1+39.62
b239.62
=52+0.4860=80.8
d=&!.6 547.6
=147.6
+1+47.6
b247.6
=58+0.4270=87.4
d=!$.# 579.3=1
79.3+1+79.3b2
79.3=78+0.2296=100
A.5.(
D @B N O =
9=?G.(O7?.E A5.E 12.6 100
-
7/24/2019 Davga
10/18
=7?.EO(G.E5 E.E 19.2 87.4=(G.E5O(A.? F.F 28 80.8
=(A.? OA8.F8 (E.5 64.2 72=A8.F8 O?.G5 5(.A 87.3 35.8
=?.G5 A5.? 100 12.7
-10.2 0 10.2 20.4 30.6 40.8 51 61.20
10
20
30
40
50
60
70
80
90
100
*. "
6 A.5.(
1.) /
! $12% -
!
A.(.A
i=7.77 M
9
O =
OA8.87 A A A>>
=A8.87 OA(.(5 7 8 GG
=A(.(5 OAA.A 7 G G8
=AA.A OG.GG E A8 GA
=G.GG OF.FF 8 5> F8
=F.FF OE.EE AG (G F>
=E.EE O8.88 AA 8> EA
=8.88 O7.77 AA EA 8>=7.77 O5.55 5A F5 (G
-
7/24/2019 Davga
11/18
=5.55 OA.AA G GA AF
=A.AA G A>> G
-1.67 0 1.67 3.33 5 6.66 8.33 9.99 11.6613.3214.9916.6518.3219.9821.6523.310
10
20
30
40
50
60
70
80
90
100
2. "
6 A.(.A
Q9
9+S
13=Q
11
11+S
12 Q
9=Q
11
Q12=S=
Q(119 )
13
12
=105.3(10013 )
7327=199.2/
' I
C=100S
Q =
100199.2105.3
=189.2
Q I
Q10=Q
1+S=105.3+199.2=304.5/
M =5>O> I
Q99+S13=(Q9+S )10
-
7/24/2019 Davga
12/18
10=
Q99+S13
Q9+S =
105.30.13+199.20.73
105.3+199.2=0.52
M I
E=1012
10(10012)
104=
52.327
52.3(10027 )10
4=66.3
34 33 333
A.(.5
! R RR RRRD
%
7>> A((.( 77.7
S % A>5.8 (A.? 7.77
!% C E8.( A>8.( AGG.5
@ 6 *B
)* @-/01(23451B% 58.79= 5=5.(C( 5 " )
.
A=
A.(.(
TTU8>>
! * $% A55>
) % 8>>
D ) % E8
?>
G>
! % 7>>
T A ) AE> % (C A7>
Q % * A58
Q % (F.8
Q=Q!""!1/1.6
A.(.7
T;;$
6 U V 8=A> A>=A8 A8=AF AF=5>
-
7/24/2019 Davga
13/18
*$;;$%
*
A.5 A.> >.G8 >.G
W
*;;$% *
%9
7 8 E ? F G A> AA
A A >.G8 >.G >.F8 >.F >.?8 >.E8
M *;;$
=1+(0.8d!
#)
>.( >.7 >.8 >.E >.? >.F8
A.8 A.7 A.( A.5 A.A A.>
Q=11.21.470909011.8
1.6=131
d!
#=0.8dmax=2.1"=136.5
5=
A.(.8
TU A5>>X
! * $% A5>>
) % AA8
D ) %> F=58! % A>>
T ) 5E>
% (C (8
Q % * ?8
Q % 5(.5
Q=$"kk%k&k=7021.81.21.41.8
2=211.7
(=
A.(.E
-/YAA>
! * $% A5AF
) % 8>
D ) % (=AE
! % A>>
T ) =
% (C A(>
Q % * AA>
Q % 5>
-
7/24/2019 Davga
14/18
Q=$"kk%k&k=2600.31.21.81.41.8
2=212
!1=
Q!
Q1=
65.3
131
=0.5 (1' %(()** )
!2=
Q!
Q2=
105.3
211.7=0.5 (1'%(() ** )
!3=
Q!
Q3=
199.2
212=0.9 (1'%(()**)
k1=
65.3
1311=0.5
k2= 105.3
211.71=0.5
k3=199.2
2121=0.9
&.
:
: =?7* ZAA= ZA7KA59 + =?7* ZA8K?89 + Z A?K589
: =A>8.(
-K@ ZAE= ZA8BC @ ZA8= ZA?B2A>>K@A>>=?8BC@?8=58B2A>>K8>9K>.8
Q11=Q15=105.3
Q16=Q11
Q17=Q11C=105.30.5=52.65
-
7/24/2019 Davga
15/18
Q14=Q11(1+C)=105.3(1+0.5 )=158
5
5.A
[) VMQ5?>> (E>>
% C AF>
%
= U$
= >
(E>>
)% ( A?%8
% C 5A
Q % * 7>>
%
= E7>>
8>8>
]% ?E
= $=$
1kkkdk
= $
1=
(+ )Q4
(D10.015 )2,-
= 4180(7512 )
3.14(2,70.15)23,6
=557
= *K >.G= JJK >.F5CAK>.F5
- kd=( D0.15D0.015 )
2
=( 2,70.152,70.015 )2
=0.9
= *KA.A
= $=5570.850.820.91.15=402
- Q=
$.
+=
40217,5
7512=111,7 /
= !
1=Q!
Q1=
111,1
111,7=0,99 (1+++%(() **)
k1=
111,1
111,71=0.99
). "
-
7/24/2019 Davga
16/18
A. 5.8 .
A>5.8= .
1.1.
A= ((=
/
Q100
K7>CA>8%(2A>>K(F9
M
((=/
Q1
100K7>CE(2A>>KE(.89
M
^K(2_`abK(2>.7KA.5
cK5^K5.7% .
(.A
*
U
$
@TB
]
@TB
@dCB
.
@``B
.
@``B
@eB
@eB
fYA8(> A.( ( A (8 A>>>> 5A>> 5>> G>
M gKh2a25.7K 5E7 C
hK>.F82A.(2(K(.(`5
D
iKgC gKA>8%(C5E7K>%7( @A B1.2.
5=
((=/
Q100
K78CA>8.(2A>>K5>%79
M
((=/
Q1
100K78CFE2A>>K859
5 A>5.8
=(A.? . 5= . ^K(2_`abK(2>.A>5K>.(>E
-
7/24/2019 Davga
17/18
cK5^K>.EA
.
YA216 ! " ##
D =7.(5%
!=F>=57>C M
gKh2j22J2k2`232l2mK7.(25(252A2A.AF2A2A2A2AK5(( C
hK7.(%`5
M ) *;;$
JKA% kKA.AF% `KA% 3KA% lKA% mKA
U iKgC gKA>8C5((K>.8 @A B
A.(. $% && &&'&&
M cK5_`abK52>.>>7K>.>>F`
^K(kK>.>>F2(K>.>57`
' nch=A?8> * $
D =(5
!=(E>(C
gKh2j22J2k2`232l2mK(2(A%?252A.72A%>G2A%(2A2A2AK(??%(C
] iKgC gK(>7%(C(??%(K>%F @A B
-
7/24/2019 Davga
18/18
,
' $ ) )*
. , -/01(23451. 6 789
5C( . D fYA8(> * A %
TTU8>> * * A %
[D5AE> * $ A % TU A5>>X
* * A % nch=A?8> * $
A % -/YAA> * * A
% VMQ5?>> (E>> * A
.
D $ I
&$$ ? @I 5>A> % 6I .Q% o."%
p.+% .UB
$ $ % @I 5>A5 6I !.DB