-
79
, . . , , ; ; ; . , , , :
() , .
, , .
kkm ki0 kkm ki0 .
-
80
.
nn22110 MMMMM +++++= K
.
-
81
4. 4.1 M, T N .
- :
0,425254
0054,01015,3lJE
5,70873
000675,01015,3lJE
k
m000675,012
3,03,0Jm0054,012
6,03,0J
7
2
7
1
43
4
3
=
=
=
=
=
=
=
==
=
4 1
30/60
60 kN
2
A B
1
15 kN/m
30/3
0
3
3
30/3
0
-
82
1. ()
2. U1 = 1,0; U2 = 0; U3 = 0
k11
4k1
4k11
4k2
4k2
k21
22k2 2k2
3k6 1
k31
3k6 1
4 1
2
A B
1
3
3
k11
k1 k1
k2
k21 k31
4k2
2k2
2k1
4k1 3k6 1
3k6 1
4k6 2
4k6 2
4 1
2
A B
1
3
3
U1
k1 k1
k2
U2 U3
-
83
M1 = 0 M2 = 0 X = 0
0,198450k4252545,70874k0k4k4k
11
11
2111
=+=
=
0,85050k0,425252k
0k2k
21
21
221
==
=
0,14175k3
5,70876k
03k6
k
31
31
131
=
=
=
U1 = 0; U2 = 1,0; U3 = 0
M1 = 0 M2 = 0 X = 0
0,85050k0,425252k
0k2k
12
12
212
==
=
5,191362k5,708730,425254k
0k3k4k
22
22
1222
=+=
=
5,7087k3
5,70873k
03k3k
32
32
132
=
=
=
k22
24k2
4k2
3k1
3k1
3k3 1 3
k3 1
k32k12
1
2k2
2k2
4 1
2
A B
1
3
3k1
k12
k1 k1
k2
k22 k322k2
4k2
3k3 1
3k3 1
4k6 2
4k6 2
-
84
U1 = 0; U2 = 0; U3 = 1,0
M1 = 0 M2 = 0 X = 0
0,14175k3
5,70876k
03k6k
13
13
113
=
=
=
5,7087k3
5,70873k
03k3k
23
23
123
=
=
=
5,11812k3
5,708733
5,708712k
03
k33
k12k
33
2233
21
21
33
=
+
=
=
kNm5,72
0,10,152lq
32 kNm600,10,60lP
32
kNm0,202
0,40,152lq
2-1 :
22
3
3
22
21
=
=
=
===
=
=
==
kN0,302
40,15RR
2lqRR
21:
21
21
=
==
==
k13
1
3k6 1
3k6 1
k23
3k3 1
3k3 1
2
k33
21
3k3
21
3k3
21
3k12
21
3k12
4 1
2
A B
1
3
k13
k1 k1
k2
k23 k333k3 1
3k6 1
21
3k12
3k6 1
21
3k12 2
1
3k3
21
3k3
-
85
M1 = 0 M2 = 0 0X =
0,20k
00,20k
p1
p1
=
=
5,47k
05,70,600,20k
p
p2
=
=+
0k p3 =
3.
0kUkUkUk
0kUkUkUk
0kUkUkUk
p3333232131
p2323222121
p1313212111
=+++
=+++
=+++
0U5,11812U5,7087U0,141755,47U5,7087U5,191362U0,850500,20U14175U0,85050U0,198450
321
321
321
=++
=++
=++
m10559,1Urad10523,2Urad10785,3U 43
42
61
===
k2p
27,5
60,0
20,0
20,0 k1p
120,0
20,0
k1 k1
k2
20,0 60,0
7,5
30,0 30,0
-
86
4. :
332211p UMUMUMMM +++=
kNm5,67M
kNm26,4U3k3
Uk300M
kNm238,630Uk4Uk20,20M
kNm102,20Uk2Uk40,20M
kNm102,2U3k6
0Uk40M
0MkNm156,2M
10559,12)10785,3(5,70872U3k6
0Uk20M
2
31
212
22122
22121
31
111
B
A
463
111A
=
=
+=
=+=
=+=
=
+=
=
=
=
+=
4 1
2
A B
1
3
3
2,156
2,102
63,238 67,5
4,26 +
-
-
87
4.2 M, T N .
- :
625,53154
000675,01015,3lJEk
375,246094
003125,01015,3lJE
k
m000675,012
3,03,0Jm003125,012
5,03,0J
7
2
7
1
43
4
3
=
=
=
=
=
=
=
==
=
1. ()
430/50
30 kN
1 A
B
2
20 k
N/m
4
30/3
0
1
k1
k2
1 A
B
2 k1
k2
U1
U2
-
88
2. U1 = 1,0; U2 = 0
U1 = 0; U2 = 1,0
1 A
B
2 k1
k2 M1
2k1
4k1
3k2 k11
k21
4k6 1
4k6 1
4k3 2
k12
2 1 A
B
k1
k2 M2
k22
4k6 1
21
4k12
1,0
21
4k12
4k6 1
Mp
k2p
30,0
40,0
30,0
30kN 30,0
50,0 K1p
-
89
3. :
-: U1 = 1,0; U2 = 0 1 = 0 0 =
375,114384k0k3k4k
11
2111
==
0625,36914k
04k6k
21
121
=
=
-: U1 = 0; U2 = 1,0
1 = 0 0 =
0625,36914k
04k6k
12
112
=
=
031,18457k
04
k12k
22
21
22
=
=
-:
1 = 0 0 =
0,70k
00,300,40k
1
1
=
=
0,30k00,30k
2
2
=
=+
k11 1
3k2
4k1 3k6 1
1 k21
21
4k12
k22 k12
4k6 1
k1p 30,0
30,0
40,0
k2p 30,0 30,0
-
90
4.
0kUkUk0kUkUk
p2222121
p1212111
=++
=++
0,30U031,18457U0625,369140,70U0625,36914U375,114384
21
21
=+=+
m10036,8Urad10205,3U 32
31
==
5. :
2211p UMUMMM ++=
kNm7297,207Uk340MkNm30M
kNm85,18U4k6Uk40M
kNm805,138U4k6Uk20M
121
1
21
111
21
11A
==
=
==
=
=
4
30
138,895
1 A
B
2
4
1
18,85
11,1097
- -
