ר
. :
=3-,
- ;
- .
, , .
, . . . .
"" , . , , , (dii>0), , (dik=dki).
( )
,
.
.
( ) :
.
i, .
.
"" -
( ). ( ).
ab , : M ab, Q ab, N ab - , a ab; M ba, Q ba, N ba - , b . .
1
( ) . . . ( ). Q :
,
Qx0- "" ( );
|
|
- (, );
- ( );
l - .
N ( ), , . -
, , - .
1
(.1,) :
, ;
.
1. :
n =3×K- = 3×2 - 4 =2.
2. , (.1,).
.1
3. :
ì d11X1+d12X2+D1p=0;
í
î d21X1+d22X2+D2p=0.
4. (.2,,) (.2,) .
1
1
.2
5. .
6. .
(.2,) :
, , .
.
, , .
7. :
5,667X1 - 2X2 -16=0;
-2X1 +2,667X2+12=0.
1
.43
X1=1,68; X2=-3,24.
8. , (.3,,). , .. X2 .
.3
9. , (.4,):
M13=0;
M31=-0,84-3,24+3=-1,08 ;
M24=0;
M42=-0,84-3,24+3=-1,08 ;
M53=-1,68+6=4,32 ;
M64=-1,68+6=4,32 ;
M65=-1,68-6=7,68 ;
M67=-12= ;
M76=0.
10. M.
, .
.4
11. (.4,):
12. (.5).
N | 1- 2- . . . | max | min | |||
-11,44 | -3,72 | -8,62 | 0,69 | -10,75 | -23,78 | |
-1,1 | 2,91 | -2,79 | 0,02 | 1,83 | -3,89 | |
b | 8,93 | -1,86 | 8,19 | -0,655 | 17,12 | 6,415 |
c | 3,965 | -0,93 | 7,22 | -1,328 | 11,185 | 1,707 |
-1 | -2 | -1 | -3 |
|
|
1. ? ?
2. ?
3. ?
12. (.42a)
.42
, .42b,c,d.
13. (.43a) (.43b,c,d), (.43e.) . max min .
.5
2
(.6,) :
, ;
.
.6
:
n = 3 - = 3×2 - 4 = 2.
. , 1 2. , .7,, .7. : d11×1 +d12×2+D1 =0;
d21×1 +d22×2+D2 =0.
, , , - . , d12= d21= 0.
d11×1 +D1 =0,
-
d22×2+D2 =0.
.
d11 =
d22 =
, . , .40 b,c,d.
12. 2 (.41a))
.41
2 = 0.
, .41b,c,d.
11. 1 (.40,a)
.40
2 = 0.
.7
D1 =
(.7) :
dss =
:
Sd = d11 + d22 =
(.7) (.7):
DSP =
:
SD = D1 + D2 =
, , , .
.
X1 = X2 =
, .7,, X1 X2 (.8a,b) (.8c). , .8, .
.
D =
, , .
.
QAB = QBA = 0;
;
;
;
;
.
8. Q (.39):
.39
9. :
åY=-q1× l 1-P-q2× l 3+R0+R1+R2=-4×6-12-2×1+12,2+19,81+5,970.
|
|
10. :
.38
.8
QBD =
QDB =
QDE =
QED =
QEF = QFE = 0;
QDK = QKD =
.11.
.
.9
B (.9) x y,
Sx = 2 + QBD ×sina + NBD×cosa = 0;
NBD =
Sy = - NBA - 8,938×cosa + NBD×sina = 0;
NBA = NAB =
E (.9).
Sx = -10,26×sina - NED×cosa = 0;
NED =
Sy = - NEF - 10,26×cosa + NED×sina = 0;
NEF = NFE =
4. ( 2 ):
I0=I; =0; ; ;
5. 3 :
M0 = -12,43 ; M1 = -11,4 .
6. (.38,) (.38,) , (.38,):
M=MP+M.
7. , Q (.38,):
( )
N | 1- 2- 3 - . . . . | max | min | ||||
....... | ....... | ....... | ....... | ....... | ....... | ....... | ....... |
-6 | -10 | -4 | |||||
-18 | -10 | -12 | -9 | -40 | |||
....... | ....... | ....... | ....... | ....... | ...... | ....... | ....... |
(.38,) :
Q ;
( ) ;
() ( ).
1. :
=-3=5-3=2.
2. , . , , , , (.38,).
3. 3 :
DB D DE DB DE (.10,).
.10
Sx = -NBD + NDB - q4sin = 0;
NDB = - 9,204 + 843/5 = 9,996 ;
Sx = -NED + NDE - q4sin = 0
NDE = NED + q4sin = - 7,695 + 843/5 = 11,505 .
D (.9)
Sy = -(NDK + NDBsin + NDEsin +QDBcos+QDEcos) =0;
NDK = - [(NDB + NDE ) sin + (QDB+QDE) cos] = -[(9,996 +11,505) 3/5 +
+ (16,66 + 15,341) 4/5] = - 38,501.
.11.
.11
Q N .12 , , :
.12
Sx = - 2 = 2 - 2 = 0;
Sy = 12,67 + 38,501 + 12,825 - 8×8 = 0,004 .
.
|
|
3
(.13,) :
, ;
.
: n=3-=3×3-7=2
(13), , .
C X1 X2.
. n :
:
) ( );
) ..
, , - 0,25l.
max S+ .
min S- .
max = + S+ ;
min = + S- .
.
.37
n, , n-1 n. :
- n; n.
, n-1=M0= 0,
.
.13
X1- , X2- , d12=d21 = 0 d11X1+D1p=0; d22X2+D2p=0.
.14a,,c, 1 2 1=1, =1, . , . :
d11=
d22=
D1P=
D2p=
(.14.)
, Sd=74,67/EJ+27/EJ=101,67/EJ.
:
.14
DSP =
:
SD = D1 + D2 = (360-270)/EJ = 90/EJ.
, :
X1= -D1P /d11= -360/74,67 = -4,82; X2 = -D2P /d22 = 270/27 = 10;
(.15)
1 + 2 +.
:
.35
. . (.36),
.36
, l = 0 (.37):