, .
(, , , , ), . . .
1.1 :
(1.1)
; .
1.2 , : , ,
(1.2)
- , .. :
(1.3)
(1.4)
, , . , .
1.3 , , . () (. 1), , , .. :
(1.5)
, :
(1.6)
: , - ( ).
, , , ( .1.)
() ):
1. , . . ;
2. ;
3. ;
4. .
.
- , . , .
.
:
1. , , ;
|
|
2. , (), ;
3. () , ;
4. ( ) , , ( );
5. , .
, , , , , , .
.2 .3
, , . ( ), ( ).
, , . , .
: , ( ).
, . , , 1 2, . 2, , , . 2, .
, (. 3, ), (, ) q l, . , . 3, .
.4 .5
( ), , , , . 4, . , , . 4, .
- . , , Q , - (. 5, ), (.5, ).
, . ().
.
1) (, ; . 6), (, ; . 6), (; . 6).
.
2) , , ( ), . , , (, , ; . 7).
|
|
3) - (. 8), . , (. . , ) .
4) (. 9), , , .
, .6
. . ( ) , , , , ( ).
.7 .8
:
) , , ( ) , ;
) , , , .
5) - (. 10). .
, . . , , , , , ( ).
.9 .10
, , , , .
6) , (. 11). , .
.11
, , , . , . , .
- 1
( )
. , (), .1
:
: (. 1); 1 = 10 ; 2 = 12 ; =25 ; q = 2 /; a = 60º.
.
:
, (.2), . : = P 1 cosa = 10 0,5 = 5 ;
= 1 sina = 10 0,866 = 8,66 .
|
|
. 1
.2
S i = 0; 4 + 3 - Q 2 - P 2 5 + Y B 7= 0, (1)
Q = L q = 4 2 = 8 ;
S Yi = 0; - + Y A - P 2 + Y B = 0; (2)
S Xi = 0; A + B - + Q = 0. (3)
(1)
Y B = = = 7,86 .
(2)
Y A = + 2 Y B = 8,66 + 12 7,86 = 12,8 .
(3), , .
, (. 3).
.3
S iC = 0; - M -P 2 2 + X B 4 = 0; (4)
S Xi = 0; X B + X C = 0; (5)
S Yi = 0; Y C - P 2 + Y B = 0. (6)
(4)
X B = = 4,39 .
(5)
= = 4,39 .
(6)
Y C = P 2 - Y B = 12 7,86 = 4,14 .
(3)
= + Q = 4,39 + 5 8 = 7,39 .
, , (. . 2):
S MiB = 0; 4 + 10 - Q 2 - Y A 7 - + 2 2 =
= 5 4 + 8,66 10 8 212, 8 7 25 + 12 2 = 130,6 130,6=0.
.
, | |||||
Y A | X B | Y B | X C | Y C | |
-7,39 | 12,8 | 4,39 | 7,86 | -4,39 | 4,14 |
1
1 | 2 | , | q, / | ||||
6,0 | 25,0 | 0,8 | |||||
5,0 | 8,0 | 26,0 | |||||
8,0 | 10,0 | 33,0 | 1,1 | ||||
10,0 | 25,0 | 1,3 | |||||
12,0 | 27,0 | 1,0 | |||||
14,0 | 12,0 | 0,9 | |||||
16,0 | 8,0 | 18,0 | 1,4 | ||||
12,0 | 6,0 | 20,0 | 1,0 | ||||
14,0 | 28,0 | 1,4 | |||||
8,0 | 26,0 | 0,9 | |||||
15,0 | 10,0 | 29,0 | 1,0 | ||||
15,0 | 8,0 | 28,0 | 1,5 | ||||
7,0 | 6,0 | 15,0 | 1,1 | ||||
5,0 | 30,0 | 0,9 | |||||
6,0 | 10,0 | 24,0 | 1,5 | ||||
8,0 | 11,0 | 31,0 | 0,8 | ||||
9,0 | 15,0 | 26,0 | 1,1 | ||||
7,0 | 16,0 | 27,0 | 0,8 | ||||
6,0 | 18,0 | 35,0 | 1,4 | ||||
7,0 | 16,0 | 32,0 | 0,8 | ||||
8,0 | 17,0 | 30,0 | 1,2 | ||||
5,0 | 6,0 | 34,0 | 1,5 | ||||
14,0 | 10,0 | 36,0 | 1,2 | ||||
10,0 | 13,0 | 28,0 | 1,3 | ||||
11,0 | 10,0 | 33,0 | 1,0 | ||||
15,0 | 15,0 | 18,0 | 1,4 | ||||
11,0 | 14,0 | 36,0 | 1,5 | ||||
12,0 | 12,0 | 30,0 | 1,1 | ||||
10,0 | 9,0 | 35,0 | 1,3 | ||||
9,0 | 10,0 | 29,0 | 1,5 | ||||
.
, . . :
(2.1)
, , , (, , , . 12), :
,
d .
.12 .13
(2.1) ( ) . , , , :
|
|
(2.2)
, (. 13), () :
,
, .
(2.1) , :
(2.3)
(. 14), , , .
(2.1) , :
(2.4)
, , .
, , (. 15, )
. (2.5)
() , (2.5)
. (2.5)
(. 184, )
. (2.5)
, (. 15, ),
. (2.6)
, . (2.6)
.14 .15
(. 15, )
. (2.6-)
, .
, , , (. 16).
, (), (), , :
1) , ;
2) ( , ), ;
3) (, ) ;
4) ;
5) ;
6) ;
7) .16
8) .
- 2
, .
:
, . 1.
.1
:
xC = ; y C = . (1)
, , . : , (.2). , , .
:
F 1 = 40 30 = 1200 2,
F 2 = = 1000 2;
F 3 = = 200 p = 628 2
.2
:
1 = 15 ; 1 = 20 ;
x 2 = 30 + = 46,7 ; y 2 = = 13,3 ;
3 = = = 8,5 ; y 3 = 20 .
.
Fi, 2 | xi, | yi, | Siy = Fi xi, 3 | Six = Fi yi, 3 | |
-628 | 15,0 46,7 8,5 | 20,0 13,3 20,0 | -5338 | -12560 | |
S | -- | -- |
(1) :
x C = =37,8 ; y C = =15,7 .
. 2.
|
|