Таблица 14.5 – Вычисление элементов 4 ВЛ
№ шп |
№ плеча, i |
Y, м |
Y^3, м3 |
i*Y, м |
(i^2)*Y, м |
||||
0 |
10 |
-0,519 |
-0,140 |
-5,190 |
-51,900 |
||||
1 |
9 |
1,460 |
3,112 |
13,140 |
118,260 |
||||
2 |
8 |
3,338 |
37,193 |
26,704 |
213,632 |
||||
3 |
7 |
4,848 |
113,943 |
33,936 |
237,552 |
||||
4 |
6 |
5,873 |
202,572 |
35,238 |
211,428 |
||||
5 |
5 |
6,503 |
275,005 |
32,515 |
162,575 |
||||
6 |
4 |
6,540 |
279,726 |
26,160 |
104,640 |
||||
7 |
3 |
6,540 |
279,726 |
19,620 |
58,860 |
||||
8 |
2 |
6,540 |
279,726 |
13,080 |
26,160 |
||||
9 |
1 |
6,540 |
279,726 |
6,540 |
6,540 |
||||
10 |
0 |
6,540 |
279,726 |
0,000 |
0,000 |
||||
11 |
-1 |
6,540 |
279,726 |
-6,540 |
6,540 |
||||
12 |
-2 |
6,540 |
279,726 |
-13,080 |
26,160 |
||||
13 |
-3 |
6,540 |
279,726 |
-19,620 |
58,860 |
||||
14 |
-4 |
6,540 |
279,726 |
-26,160 |
104,640 |
||||
15 |
-5 |
6,540 |
279,726 |
-32,700 |
163,500 |
||||
16 |
-6 |
6,540 |
279,726 |
-39,240 |
235,440 |
||||
17 |
-7 |
6,001 |
216,108 |
-42,007 |
294,049 |
||||
18 |
-8 |
4,128 |
70,343 |
-33,024 |
264,192 |
||||
19 |
-9 |
1,414 |
2,827 |
-12,726 |
114,534 |
||||
20 |
-10 |
-1,007 |
-1,021 |
10,070 |
-100,700 |
||||
∑ |
103,979 |
3996,932 |
-13,284 |
2254,962 |
|||||
Поправки |
-0,763 |
-0,580 |
2,440 |
-76,300 |
|||||
исправленные ∑ |
104,742 |
3996,351 |
-15,724 |
2331,262 |
|||||
Площадь, м2 |
S=2∆L∑(Yi) |
781,061 |
|||||||
М.И. отн. Х, м4 |
Ix=(2/3)∆L∑(Yi)^3 |
9933,597 |
|||||||
М.И. отн. У, м4 |
Iy=(2/3)(∆L3)∑((i2)Y) |
241670,434 |
|||||||
Xf, м |
Xf=∆L*((∑(iY)/∑Y)) |
-0,560 |
|||||||
Цент. М.И. , м4 |
If=Iy-SXf2 |
241425,732 |
|||||||
Таблица 14.6 – Вычисление элементов 5 ВЛ
№ шп |
№ плеча, i |
Y, м |
Y^3, м3 |
i*Y, м |
(i^2)*Y, м |
0 |
10 |
-0,307 |
-0,029 |
-3,070 |
-30,700 |
1 |
9 |
1,876 |
6,602 |
16,884 |
151,956 |
2 |
8 |
3,701 |
50,694 |
29,608 |
236,864 |
3 |
7 |
5,134 |
135,322 |
35,938 |
251,566 |
4 |
6 |
6,056 |
222,105 |
36,336 |
218,016 |
5 |
5 |
6,540 |
279,726 |
32,700 |
163,500 |
6 |
4 |
6,540 |
279,726 |
26,160 |
104,640 |
7 |
3 |
6,540 |
279,726 |
19,620 |
58,860 |
8 |
2 |
6,540 |
279,726 |
13,080 |
26,160 |
9 |
1 |
6,540 |
279,726 |
6,540 |
6,540 |
10 |
0 |
6,540 |
279,726 |
0,000 |
0,000 |
11 |
-1 |
6,540 |
279,726 |
-6,540 |
6,540 |
12 |
-2 |
6,540 |
279,726 |
-13,080 |
26,160 |
13 |
-3 |
6,540 |
279,726 |
-19,620 |
58,860 |
14 |
-4 |
6,540 |
279,726 |
-26,160 |
104,640 |
15 |
-5 |
6,540 |
279,726 |
-32,700 |
163,500 |
16 |
-6 |
6,540 |
279,726 |
-39,240 |
235,440 |
17 |
-7 |
6,274 |
246,964 |
-43,918 |
307,426 |
18 |
-8 |
4,780 |
109,215 |
-38,240 |
305,920 |
19 |
-9 |
2,200 |
10,648 |
-19,800 |
178,200 |
20 |
-10 |
-0,966 |
-0,901 |
9,660 |
-96,600 |
∑ |
107,228 |
4137,335 |
-15,842 |
2477,488 |
|
Поправки |
-0,637 |
-0,465 |
3,295 |
-63,650 |
|
исправленные ∑ |
106,592 |
4136,870 |
-19,137 |
2541,138 |
|
Площадь, м2 |
S=2∆L∑(Yi) |
794,853 |
|||
М.И. отн. Х, м4 |
Ix=(2/3)∆L∑(Yi)^3 |
10282,879 |
|||
М.И. отн. У, м4 |
Iy=(2/3)(∆L3)∑((i2)Y) |
263427,244 |
|||
Xf, м |
Xf=∆L*((∑(iY)/∑Y)) |
-0,669 |
|||
Цент. М.И. , м4 |
If=Iy-SXf2 |
263071,074 |
|||
Таблица 14.7 – Вычисление элементов 6 КВЛ
№ шп |
№ плеча, i |
Y, м |
Y^3, м3 |
i*Y, м |
(i^2)*Y, м |
|||
0 |
10 |
-0,119 |
-0,002 |
-1,190 |
-11,900 |
|||
1 |
9 |
2,260 |
11,543 |
20,340 |
183,060 |
|||
2 |
8 |
4,010 |
64,481 |
32,080 |
256,640 |
|||
3 |
7 |
6,361 |
257,381 |
44,527 |
311,689 |
|||
4 |
6 |
6,213 |
239,830 |
37,278 |
223,668 |
|||
5 |
5 |
6,540 |
279,726 |
32,700 |
163,500 |
|||
6 |
4 |
6,540 |
279,726 |
26,160 |
104,640 |
|||
7 |
3 |
6,540 |
279,726 |
19,620 |
58,860 |
|||
8 |
2 |
6,540 |
279,726 |
13,080 |
26,160 |
|||
9 |
1 |
6,540 |
279,726 |
6,540 |
6,540 |
|||
10 |
0 |
6,540 |
279,726 |
0,000 |
0,000 |
|||
11 |
-1 |
6,540 |
279,726 |
-6,540 |
6,540 |
|||
12 |
-2 |
6,540 |
279,726 |
-13,080 |
26,160 |
|||
13 |
-3 |
6,540 |
279,726 |
-19,620 |
58,860 |
|||
14 |
-4 |
6,540 |
279,726 |
-26,160 |
104,640 |
|||
15 |
-5 |
6,540 |
279,726 |
-32,700 |
163,500 |
|||
16 |
-6 |
6,540 |
279,726 |
-39,240 |
235,440 |
|||
17 |
-7 |
6,495 |
273,992 |
-45,465 |
318,255 |
|||
18 |
-8 |
5,596 |
175,240 |
-44,768 |
358,144 |
|||
19 |
-9 |
3,940 |
61,163 |
-35,460 |
319,140 |
|||
20 |
-10 |
0,000 |
0,000 |
0,000 |
0,000 |
|||
∑ |
113,236 |
4440,344 |
-31,898 |
2913,536 |
||||
Поправки |
-0,060 |
-0,001 |
-0,595 |
-5,950 |
||||
исправленные ∑ |
113,296 |
4440,343 |
-31,303 |
2919,486 |
||||
Площадь, м2 |
S=2∆L∑(Yi) |
844,845 |
||||||
М.И. отн. Х, м4 |
Ix=(2/3)∆L∑(Yi)^3 |
11037,212 |
||||||
М.И. отн. У, м4 |
Iy=(2/3)(∆L3)∑((i2)Y) |
302648,715 |
||||||
Xf, м |
Xf=∆L*((∑(iY)/∑Y)) |
-1,030 |
||||||
Цент. М.И. , м4 |
If=Iy-SXf2 |
301752,130 |
||||||
Таблица 14.8 – Вычисление элементов 7 ВЛ
№ шп |
№ плеча, i |
Y, м |
Y^3, м3 |
i*Y, м |
(i^2)*Y, м |
0 |
10 |
0,211 |
0,009 |
2,110 |
21,100 |
1 |
9 |
2,511 |
15,832 |
22,599 |
203,391 |
2 |
8 |
4,264 |
77,527 |
34,112 |
272,896 |
3 |
7 |
5,545 |
170,492 |
38,815 |
271,705 |
4 |
6 |
6,321 |
252,556 |
37,926 |
227,556 |
5 |
5 |
6,540 |
279,726 |
32,700 |
163,500 |
6 |
4 |
6,540 |
279,726 |
26,160 |
104,640 |
7 |
3 |
6,540 |
279,726 |
19,620 |
58,860 |
8 |
2 |
6,540 |
279,726 |
13,080 |
26,160 |
9 |
1 |
6,540 |
279,726 |
6,540 |
6,540 |
10 |
0 |
6,540 |
279,726 |
0,000 |
0,000 |
11 |
-1 |
6,540 |
279,726 |
-6,540 |
6,540 |
12 |
-2 |
6,540 |
279,726 |
-13,080 |
26,160 |
13 |
-3 |
6,540 |
279,726 |
-19,620 |
58,860 |
14 |
-4 |
6,540 |
279,726 |
-26,160 |
104,640 |
15 |
-5 |
6,540 |
279,726 |
-32,700 |
163,500 |
16 |
-6 |
6,540 |
279,726 |
-39,240 |
235,440 |
17 |
-7 |
6,540 |
279,726 |
-45,780 |
320,460 |
18 |
-8 |
6,199 |
238,213 |
-49,592 |
396,736 |
19 |
-9 |
5,468 |
163,488 |
-49,212 |
442,908 |
20 |
-10 |
4,052 |
66,529 |
-40,520 |
405,200 |
∑ |
119,591 |
4621,087 |
-88,782 |
3516,792 |
|
Поправки |
2,132 |
33,269 |
-19,205 |
213,150 |
|
исправленные ∑ |
117,460 |
4654,356 |
-69,577 |
3303,642 |
|
Площадь, м2 |
S=2∆L∑(Yi) |
875,895 |
|||
М.И. отн. Х, м4 |
Ix=(2/3)∆L∑(Yi)^3 |
11569,177 |
|||
М.И. отн. У, м4 |
Iy=(2/3)(∆L3)∑((i2)Y) |
342472,273 |
|||
Xf, м |
Xf=∆L*((∑(iY)/∑Y)) |
-2,209 |
|||
Цент. М.И. , м4 |
If=Iy-SXf2 |
338199,836 |
|||
Таблица 14.9 – Вычисление элементов 8 ВЛ
№ шп |
№ плеча, i |
Y, м |
Y^3, м3 |
i*Y, м |
(i^2)*Y, м |
0 |
10 |
0,575 |
0,190 |
5,750 |
57,500 |
1 |
9 |
2,759 |
21,002 |
24,831 |
223,479 |
2 |
8 |
4,445 |
87,824 |
35,560 |
284,480 |
3 |
7 |
5,697 |
184,901 |
39,879 |
279,153 |
4 |
6 |
6,392 |
261,162 |
38,352 |
230,112 |
5 |
5 |
6,540 |
279,726 |
32,700 |
163,500 |
6 |
4 |
6,540 |
279,726 |
26,160 |
104,640 |
7 |
3 |
6,540 |
279,726 |
19,620 |
58,860 |
8 |
2 |
6,540 |
279,726 |
13,080 |
26,160 |
9 |
1 |
6,540 |
279,726 |
6,540 |
6,540 |
10 |
0 |
6,540 |
279,726 |
0,000 |
0,000 |
11 |
-1 |
6,540 |
279,726 |
-6,540 |
6,540 |
12 |
-2 |
6,540 |
279,726 |
-13,080 |
26,160 |
13 |
-3 |
6,540 |
279,726 |
-19,620 |
58,860 |
14 |
-4 |
6,540 |
279,726 |
-26,160 |
104,640 |
15 |
-5 |
6,540 |
279,726 |
-32,700 |
163,500 |
16 |
-6 |
6,540 |
279,726 |
-39,240 |
235,440 |
17 |
-7 |
6,540 |
279,726 |
-45,780 |
320,460 |
18 |
-8 |
6,526 |
277,934 |
-52,208 |
417,664 |
19 |
-9 |
6,427 |
265,476 |
-57,843 |
520,587 |
20 |
-10 |
5,926 |
208,106 |
-59,260 |
592,600 |
∑ |
123,767 |
4943,036 |
-109,959 |
3880,875 |
|
Поправки |
3,251 |
104,148 |
-26,755 |
325,050 |
|
исправленные ∑ |
120,517 |
5047,184 |
-83,204 |
3555,825 |
|
Площадь, м2 |
S=2∆L∑(Yi) |
898,692 |
|||
М.И. отн. Х, м4 |
Ix=(2/3)∆L∑(Yi)^3 |
12545,618 |
|||
М.И. отн. У, м4 |
Iy=(2/3)(∆L3)∑((i2)Y) |
368614,841 |
|||
Xf, м |
Xf=∆L*((∑(iY)/∑Y)) |
-2,574 |
|||
Цент. М.И. , м4 |
If=Iy-SXf2 |
362659,943 |
|||