
книги из ГПНТБ / Симвулиди И.А. Расчет инженерных конструкций на упругом основании учеб. пособие для студентов строит. специальностей вузов
.pdfдое это значение согласно формуле (Ѵ-36) умножаем на
100 ООО |
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•кЕ0Ы |
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0,512, т. е. |
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3,14 • 300 • 100 • 500 |
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ФЛ |
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5,171 • 0,512 |
2,648; |
ФС |
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0,245 • 0,512 = |
1,254; |
ФВ |
= |
— 2,903 • 0,512 = — 1,486. |
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Для |
построения |
эпюры относительных |
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прогибов |
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балки у |
из |
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табл. Ѵ-4 берем данные, соответствующие а = |
350 и ß = |
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0,7, для всех |
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значений у от g = 0 д о £ |
= |
1,0. На основании формулы (Ѵ-38) |
взятые |
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Р |
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100 000 |
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1,062 см: |
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из таблицы данные у умножаем на ^ с и - = q |
Л |
Q n a 1 А П |
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т.ЕйЬ |
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3,14 • 300 • 100 |
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е |
0 |
0,1 |
0,2 |
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0,3 |
0,4 |
0,5 |
0,6 |
0,7 |
0,8 |
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0,9 |
1,0 |
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7 |
0 |
0,517 |
1,032 |
1,540 |
2,028 |
2,467 |
2,807 |
2,962 |
2,863 |
2,617 |
2,330 |
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У |
0 |
0,549 |
1,096 |
1,635 |
2,154 |
2,620 |
2,981 |
3,146 |
3,041 |
2,779 |
2,474 |
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Эпюра |
у построена |
на рис. |
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Ѵ-16. |
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Пример Ѵ-4. |
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Балка, |
лежа |
Q |
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щая на упругом |
основании, на- |
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гружена |
тремя |
сосредоточенны |
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ми силами Ръ |
Р 2 |
и Рз- |
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углы |
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Требуется |
определить |
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Эпюра у |
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поворота |
упругой |
линии |
балки |
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под заданными силами |
Ръ |
Р 2 и |
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Р 3 , а также построить эпюру от |
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носительных |
прогибов |
балки |
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S3 <§ со съ |
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(рис. Ѵ-17). |
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«ST |
<N) |
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Дано: Р х = 25, Р 2 |
= 75, Р 3 = |
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= |
50 Т; |
/ 3 1 = 0; |
/ з 2 |
= 0,6 L; |
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Рис. V-17 |
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/33= L ; Ъ = 1 м; L = 5 м, а — |
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= |
400; £ „ = 250 |
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кГ/см2. |
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Р е ш е н и е . По приведенным данным |
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ß3 1 = ß = ^ |
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= 0; |
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!ß3 2 |
= P = • > = 0,6; |
В Я = В = - А = |
1,0 |
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Для определения углов поворотов ф^, ф с и ф в воспользуемся табл. Ѵ-3.
Чтобы определить угол поворота ф л , берем из табл. Ѵ-3 данные, соответствующие а = 400 и \ = 0 для значений ф л при ß 3 1 = 0, ß 3 2 = = 0,6 и ß 3 3 = 1,0.
159
На основании формулы (Ѵ-36) взятые из таблицы значения умно
жаем: первое — н |
а — |
= |
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= 0,0000637; |
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TtE0bL |
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3,14 • 250 |
• 100 • |
500 |
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в торое — на |
Р* |
= |
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= 0,0001911 |
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жЕйЫ |
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3,14 |
• 250 • 100 • 500 |
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третье — на |
P |
s |
= . |
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= 0,0001274. |
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ъЕ0 |
bL |
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3,14 • 250 • 100 • 500 |
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В результате умножения |
имеем |
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<р = |
— 15,573 |
Р |
і |
+ 5,737 |
Р * |
+ 2,728 — |
= |
bL |
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тс£„ bL |
7i£0 |
bL |
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к Е 0 |
= — 0,000992 + 0,001096 + 0,000348 = 0,000462.
Для определения угла поворота ф с берем из табл. Ѵ-3 данные, соответствующие а = 400 и g = 0,6 для значений ф с при ß 3 1 = 0; 6з2= 0,6 и ß 3 3 = 1,0. На основании формулы (Ѵ-36) эти данные умно-
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Р* |
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Ра |
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жаем на |
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-— и в результате имеем |
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тс£0 |
bL |
я £ 0 b L |
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пЕ0 |
bL |
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Ф |
= |
_ |
3,378—^ |
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0,645 —£ï— + |
5,764 |
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Р з |
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кЕ0bL |
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кЕ0bL |
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я £ 0 |
bL |
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= — 0,0002152 — 0,0001233 + 0,0007343 = 0,000396. |
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Чтобы |
определить |
угол |
ф в , берем из |
табл. Ѵ-3 данные, |
соответ |
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ствующие |
а = |
400 и I |
= |
1,0 для значений |
ф 3 |
при ß 3 i = 0, |
ß 3 2 = 0,6 |
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и ß33= |
1,0. На основании формулы (Ѵ-36) взятые из таблицы значения |
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умножаем на |
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P -— ; |
P — ; |
Р |
— и в результате |
имеем |
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тс£0 bL |
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-кЕд bL |
г . £ 0 |
bL |
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Фв |
= |
—2,728 |
Р \ г |
— 4,978 |
Р \ г |
+15,573- |
Р з |
— |
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т.Е0 |
bL |
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кЕ0 |
bL |
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i t £ „ |
bL |
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= |
— 0,0001738 — 0,0009513 + |
0,0019840 = 0,001859. |
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Для |
построения |
эпюры |
прогибов у из табл. Ѵ-4 берем данные, со |
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ответствующие |
а = |
400 |
и |
ß 3 1 |
= 0, |
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а = |
400 и |
ß 3 2 = |
0,6; а = 400 и |
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р 3 3 = |
1,0 для всех значений у от £ = |
0 до £ = |
1,0. На основании фор- |
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Pi |
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Р |
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мулы |
(Ѵ-38) эти данные |
умножаем на |
n |
F |
\ |
= |
0,31845 см; —[Ги |
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рз |
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» |
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и |
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= 0,95535 см и п Е ь- |
= 0,63690 см; |
в |
результате |
имеем |
таблицу |
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(стр. |
161). |
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Эпюра |
у построена |
на рис. Ѵ-17. |
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160
е
P
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0 |
0,1 |
0,2 |
0,3 |
0,4 |
0,5 |
0,6 |
0,7 |
0,8 |
0,9 |
1.0 |
Ii |
0 |
0 |
—1,503 |
—2,765 |
—3,721 |
—4,407 |
—4,901 |
—5,276 |
—5,591 |
—5,878 |
—6,154 |
—6,427 |
Уі |
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0 |
—0,479 |
—0,881 |
—1,185 |
— 1,403 |
— 1,561 |
— 1,680 |
—1,780 |
—1,872 |
—1,960 |
—2,017 |
т* |
0,6 |
0 |
0,573 |
1,135 |
1,654 |
2,122 |
2,447 |
2,543 |
2,325 |
1,916 |
1,431 |
0,937 |
Уа |
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0 |
0,547 |
1,084 |
1,590 |
2,027 |
2,333 |
2,429 |
2,221 |
1,830 |
1,370 |
0,895 |
~Уз |
1.0 |
0 |
0,273 |
0,549 |
0,836 |
1,151 |
1,527 |
2,020 |
2,703 |
3,662 |
4,924 |
6,427 |
Уз |
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0 |
0,174 |
0,350 |
0,532 |
0,733 |
0,973 |
1,267 |
1,723 |
2,332 |
3,136 |
4,093 |
У |
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0 |
0,242 |
0,553 |
0,937 |
1,357 |
1,750 |
2,130 |
2,268 |
2,376 |
2,610 |
2,983 |
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Сосредоточенная |
сила |
Р (рис. V-I5) |
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Т а б л и ц а Ѵ-3 |
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Значения ? ; |
у = <р |
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а |
Р |
0 |
0,1 |
0,2 |
0,3 |
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0,4 |
0,5 |
0,6 |
0.7 |
0,8 |
0.9 |
1,0 |
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0 |
—6,288 |
—6,283 |
—6,274 |
—6,264 |
—6,253 |
—6,244 |
—6,237 |
—6,232 |
—6,229 |
—6,228 |
—6,228 |
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0.1 |
—5,008 |
—5,009 |
—5,009 |
—5,006 |
—5,003 |
—4,999 |
—4,996 |
—4,994 |
—4,993 |
—4,993 |
—4,993 |
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0,2 |
—3,736 |
—3,737 |
—3,741 |
—3,747 |
—3,751 |
—3,753 |
—3,754 |
—3,755 |
—3,755 |
—3,755 |
—3,756 |
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0,3 |
—2,473 |
—2,474 |
—2,477 |
—2,486 |
—2,497 |
—2,505 |
—2,511 |
—2,515 |
—2,517 |
—2,518 |
—2,517 |
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1 |
0,4 |
—1,217 |
—1,217 |
—1,220 |
—1,227 |
—1,240 |
—1,254 |
—1,264 |
—1,270 |
—1.274 |
—1,276 |
—1,276 |
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0,5 |
0,032 |
0,032 |
0,029 |
0,024 |
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0,014 |
0 |
—0,014 |
—0,024 |
—0,029 |
—0,032 |
—0,032 |
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0,6 |
1,276 |
1,276 |
1,274 |
1,270 |
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1,263 |
1,254 |
1,240 |
1,228 |
1,220 |
1,217 |
1,217 |
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0,7 |
2,517 |
2,518 |
2,517 |
2,515 |
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2,511 |
2,505 |
2,497 |
2,486 |
2,477 |
2,474 |
2,473 |
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0,8 |
3,756 |
3,756 |
3,755 |
3,755 |
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3,754 |
3,753 |
3,751 |
3,747 |
3,741 |
3,737 |
3,736 |
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0,9 |
4,993 |
4,993 |
4,993 |
4,994 |
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4,996 |
4,999 |
5,003 |
5,006 |
5,009 |
5,009 |
5,008 |
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1 |
6,228 |
6,228 |
6,229 |
6,232 |
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6,237 |
6,244 |
6,253 |
6,264 |
6,274 |
6,283 |
6,288 |
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0 |
—6,326 |
—6,318 |
—6,299 |
—6.278 |
—6,257 |
—6,239 |
—6,224 |
—6,215 |
—6,209 |
—6,205 |
—6,205 |
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0,1 |
—5,015 |
—5,017 |
—5,017 |
—5,012 |
—5,005 |
—4,998 |
—4,993 |
—4,989 |
—4,986 |
—4,985 |
—4,985 |
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0,2 |
—3,722 |
—3,724 |
—3,733 |
—3,745 |
—3,752 |
—3,756 |
—3,759 |
—3,761 |
—3,762 |
—3,762 |
—3,762 |
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0,3 |
—2,446 |
—2,447 |
—2,455 |
—2,473 |
—2,494 |
—2,510 |
—2,521 |
—2,529 |
—2,533 |
—2,535 |
—2,535 |
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0,4 |
—1,184 |
—1,185 |
—1,191 |
—1.205 |
—1,230 |
—1,258 |
—1.278 |
—1.291 |
—1,299 |
—1.302 |
—1,303 |
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0,5 |
0,064 |
0,063 |
0,059 |
0,048 |
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0,029 |
0 |
—0,029 |
—0,048 |
—0,059 |
—0,063 |
—0,064 |
2 |
0,6 |
1,303 |
1,302 |
1,299 |
1,291 |
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1,278 |
1,258 |
1,230 |
1,205 |
1,191 |
1,185 |
1,184 |
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0,7 |
2,535 |
2,535 |
2,533 |
2,529 |
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2,521 |
2,510 |
2,494 |
2,473 |
2,455 |
2,447 |
2,446 |
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0,8 |
3,762 |
3,762 |
3,762 |
3,761 |
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3,759 |
3,756 |
3,752 |
3,745 |
3,733 |
3,724 |
3,723 |
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0,9 |
4,985 |
4,985 |
4,986 |
4,989 |
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4,993 |
4,998 |
5,005 |
5,012 |
5,017 |
5,017 |
5,015 |
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1,0 |
6,204 |
6,207 |
6,209 |
6,215 |
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6,224 |
6,239 |
6,257 |
6,278 |
6,299 |
6,318 |
6,326 |
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0 |
—6,439 |
—6,418 |
—6,373 |
—6,319 |
—6,266 |
—6,222 |
—6,187 |
—6,162 |
—6,143 |
—6,142 |
—6,141 |
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5 |
0,1 |
—5,038 |
—5,042 |
—5,043 |
—5,030 |
—5,013 |
—4,996 |
—4,982 |
—4,972 —4,966 —4,£64 |
—4,963 |
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0,2 |
—3,682 |
—3,686 |
—3,708 |
—3,736 |
—3,754 |
—3,765 |
—3,772 |
—3,777 |
—3,779 |
—3,780 |
—3,780 |
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0,3 |
—2,367 |
—2,370 |
—2,388 |
—2,433 |
—2,485 |
—2,525 |
—2,553 |
—2,572 |
—2,582 |
—2,587 |
—2,587 |
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0,4 |
—1,086 |
—1,088 |
—1,103 |
—1,139 |
—1,201 |
—1,269 |
—1,319 |
—1,352 |
—1,371 |
—1,379 |
—1,380 |
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0,5 |
0,159 |
0,158 |
0,146 |
0,119 |
0,071 |
0 |
—0,071 |
—0,119 |
—0,146 |
—0,158 |
—0,159 |
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0,6 |
1,380 |
1,379 |
1,371 |
1,352 |
1,319 |
1,269 |
1,201 |
1,139 |
1,103 |
1,088 |
1,086 |
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0,7 |
2,587 |
2,587 |
2,582 |
2,572 |
2,553 |
2,525 |
2,485 |
2,433 |
2,388 |
2,370 |
2,367 |
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0,8 |
3,780 |
3,780 |
3,779 |
3,777 |
3,772 |
3,765 |
3,754 |
3,736 |
3,708 |
3,686 |
3,682 |
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0.9 |
4,963 |
4,964 |
4,966 |
4,972 |
4,982 |
4,996 |
5,013 |
5,030 |
5,043 |
5,042 |
5,038 |
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1,0 |
6,141 |
6,142 |
6,143 |
6,162 |
6,187 |
6,222 |
6,266 |
6,319 |
6,373 |
6,418 |
6,439 |
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0 |
—6,623 |
—6,583 |
—6,492 |
—6,385 |
—6,282 |
—6,193 |
—6,125 |
—6,077 |
—6,049 |
—6,038 |
—6.036 |
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0,1 |
—5,075 |
—5,083 |
—5,085 |
—5,059 |
—5,025 |
—4,992 |
—4,965 |
—4,945 |
—4,933 |
—4,928 |
—4,927 |
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0,2 |
—3,616 |
—3,623 |
—3,667 |
—3,724 |
—3,758 |
—3,781 |
—3,795 |
—3,803 |
—3,807 |
—3,809 |
—3,809 |
|
0,3 |
—2,236 |
—2,242 |
—2,279 |
—2,367 |
—2,472 |
—2,549 |
—2,605 |
—2,642 |
—2,662 |
—2,671 |
—2,672 |
|
0,4 |
—0,926 |
—0,930 |
—0,959 |
—1,030 |
—1,154 |
—1,288 |
—1,386 |
—1,451 |
—1,488 |
—1,504 |
— 1,506 |
10 |
0,5 |
0,314 |
0,310 |
0,288 |
0,235 |
0,140 |
0 |
—0,140 |
—0,235 |
—0.288 |
—0,310 |
—0,314 |
0,6 |
1,506 |
1,504 |
1,488 |
1,451 |
1,386 |
1,288 |
1,154 |
1,030 |
0,959 |
0,930 |
0,926 |
|
|
0,7 |
2,672 |
2,671 |
2,662 |
2,642 |
2,605 |
2,549 |
2,472 |
2,367 |
2,279 |
2,242 |
2.236 |
|
0,8 |
3,809 |
3,809 |
3,807 |
3,803 |
3,795 |
3,781 |
3,758 |
3,724 |
3,667 |
3,623 |
3,616 |
|
0,9 |
4,927 |
4,928 |
4,933 |
4,945 |
4,965 |
4,992 |
5,025 |
5,059 |
5,085 |
5,083 |
5,075 |
|
1.0 |
6,036 |
6,038 |
6,049 |
6,077 |
6,125 |
6,193 |
6,282 |
6,385 |
6,492 |
6,583 |
6,623 |
|
0 |
—6,805 |
—6,744 |
—6,608 |
—6,449 |
—6,296 |
—6,165 |
—6,064 |
—5,994 |
—5,954 |
—5,936 |
—5,934 |
|
0,1 |
—5,111 |
—5,122 |
—5,126 |
—5,088 |
—5,037 |
—4,988 |
—4,947 |
—4,919 |
—4,901 |
—4,984 |
—4,893 |
|
0,2 |
—3,551 |
—3,561 |
—3,627 |
—3,712 |
—3,763 |
—3,796 |
—3,816 |
—3,828 |
—3,835 |
—3,837 |
—3,837 |
15 |
0,3 |
—2,109 |
—2,118 |
—2,172 |
—2,304 |
—2,459 |
—2,574 |
—2,654 |
—2,710 |
—2,740 |
—2,752 |
—2,754 |
|
0,4 |
—0,770 |
—0,777 |
—0,820 |
—0,925 |
—1,110 |
—1,306 |
—1,451 |
—1,547 |
—1,602 |
—1,625 |
—1,623 |
|
0,5 |
0,465 |
0,459 |
0,426 |
0,347 |
0,208 |
0 |
—0,208 |
—0,347 |
—0,426 |
—0,459 |
—0,465 |
|
0,6 |
1,628 |
1,625 |
1,602 |
1,547 |
1,451 |
1,306 |
1,110 |
0,925 |
0,820 |
0,777 |
0,770 |
|
0,7 |
2,754 |
2,752 |
2,740 |
2,709 |
2,654 |
2,574 |
2,459 |
2,304 |
2,172 |
2,118 |
2,109 |
|
0,8 |
3,837 |
3,837 |
3,835 |
3,828 |
3,816 |
3,796 |
3,763 |
3,712 |
3,627 |
3,561 |
3,551 |
|
0,9 |
4,893 |
4,894 |
4,901 |
4,919 |
4,947 |
4,988 |
5,037 |
5,088 |
5,126 |
5,123 |
5,111 |
|
1,0 |
5,934 |
5,936 |
5,954 |
5,994 |
6,064 |
6,165 |
6,296 |
6,449 |
6,608 |
6,744 |
6,805 |
|
0 |
—6,982 |
—6,901 |
—6,722 |
—6,511 |
—6.308 |
—6,137 |
—6,005 |
—5,914 |
—5,861 |
—5,838 |
—5,835 |
20 |
0,1 |
—5,145 |
—5,162 |
—5,166 |
—5,116 |
—5,049 |
—4,984 |
—4,931 |
—4,893 |
—4,870 |
—4,860 |
—4,859 |
0,2 |
—3,487 |
—3,500 |
—3,588 |
—3,700 |
—3,768 |
—3,811 |
—3,837 |
—3,853 |
—3,861 |
—3,864 |
—3,864 |
Продолжение табл. Ѵ-3
|
|
0,1 |
0,2 |
0,3 |
0,4 |
0,5 |
0,6 |
0,7 |
0,3 |
0,9 |
|
0,3 |
—1,985 |
-1.996 |
-2,068 |
-2,243 |
-2,447 |
-2,598 |
-2,705 |
-2,776 |
-2,815 |
-2,831 |
|
0,4 |
—0,618 |
-0,627 |
-0,684 |
-0,822 |
-1,064 |
-1,325 |
-1,515 |
-1,641 |
-1.713 |
-1,742 |
|
0,5 |
0,611 |
0,604 |
0,561 |
0,457 |
0.274 |
О |
-0,274 |
-0,457 |
-0,561 |
-0,604 |
|
0,6 |
1.747 |
1,742 |
1,713 |
1,641 |
1,515 |
1,325 |
1,064 |
0,822 |
0,684 |
0,627 |
|
0,7 |
2,833 |
2,831 |
2,815 |
2,776 |
2,705 |
2,598 |
2,447 |
2,243 |
2,068 |
1,996 |
|
0.8 |
3.864 |
3,864 |
3,861 |
3,853 |
3,837 |
3,811 |
3,768 |
3,700 |
3,588 |
3,500 |
|
0,9 |
4,859 |
4,860 |
4.870 |
4,893 |
4,931 |
4,984 |
5,049 |
5,116 |
5,166 |
5 |
162 |
1,0 |
8,835 |
5,838 |
5,861 |
5,914 |
6,005 |
6,137 |
6,308 |
6,511 |
6,722 |
6,901 |
|
0 |
—7,157 |
-7.056 |
-6,832 |
-6,570 |
-6,320 |
-6,109 |
-5,947 |
-5,835 |
-5,771 |
-5,743 |
|
0,1 |
—5.179 |
-5,200 |
-5,205 |
-5,143 |
-5,060 |
-4,980 |
-4,914 |
-4,868 |
-4,840 |
-4,828 |
|
0,2 |
—3,423 |
-3,441 |
-3.550 |
-3,690 |
-3,774 |
-3,826 |
-3,858 |
-3,877 |
-3,887 |
-3,890 |
|
0,3 |
—1.863 |
-1,877 |
-1,966 |
-2,183 |
-2,436 |
-2,622 |
-2,754 |
-2,840 |
-2,888 |
-2.907 |
|
0,4 |
—0,471 |
-0,481 |
-0,551 |
-0,721 |
-1,021 |
-1,343 |
-1.577 |
-1,732 |
-1,820 |
-1,856 |
|
0,5 |
0,752 |
0,744 |
0,692 |
0,564 |
0,339 |
О |
-0.339 |
-0,564 |
-0.692 |
-0,744 |
|
0,6 |
1,862 |
1,856 |
1,820 |
1,732 |
1,577 |
1,343 |
1,021 |
0,721 |
0,551 |
0,481 |
|
0,7 |
2,910 |
2,907 |
2,888 |
2,840 |
2,754 |
2,622 |
2,436 |
2,183 |
1.966 |
1.877 |
|
0,8 |
3,891 |
3,890 |
3,887 |
3,877 |
3,858 |
3,836 |
3,774 |
3,690 |
3,550 |
3,441 |
|
0,9 |
4,826 |
4,828 |
4,840 |
4,868 |
4,914 |
4,980 |
5,060 |
5,143 |
5,205 |
5,200 |
|
1,0 |
5,739 |
5,743 |
5,771 |
5,835 |
5,947 |
6,109 |
6,320 |
6,570 |
6,832 |
7,056 |
|
О |
—7,984 |
-7,784 |
-7,345 |
-6,839 |
-6,364 |
-5,970 |
-5,673 |
-5,473 |
-5,358 |
-5,310 |
|
0,1 |
—5.332 |
-5,374 |
-5,387 |
-5,270 |
-5,112 |
-4,960 |
-4,838 |
-4,753 |
-4,702 |
-4,580 |
|
0.2 |
—3,122 |
-3,156 |
-3,372 |
-3,645 |
-3,806 |
-3,901 |
-3,957 |
-3,988 |
-4,003 |
-4,008 |
|
0,3 |
—1,292 |
-1,319 |
-1,490 |
-1,908 |
-2,393 |
-2,742 |
-2,983 |
-3,137 |
-3,221 |
-3.254 |
|
0,4 |
0,214 |
0,194 |
0,066 |
-0,252 |
-0,821 |
-1,432 |
-1,868 |
-2,153 |
-2,313 |
-2,378 |
|
0.5 |
1,405 |
1,390 |
1,296 |
1,061 |
0,641 |
О |
-0,641 |
-1,061 |
-1,296 |
-1.390 |
|
0,6 |
2,388 |
2,378 |
2,313 |
2,153 |
1,868 |
1,432 |
0,821 |
0.252 |
-0,066 |
-0,194 |
|
0,7 |
3,259 |
3,254 |
3,221 |
3,137 |
2,983 |
2,742 |
2,393 |
1,908 |
1,490 |
1,319 |
|
0,8 |
4,009 |
4,008 |
4,003 |
3,988 |
3,957 |
3,901 |
3,806 |
3.645 |
3.372 |
3,156 |
|
0,9 |
4,576 |
4,580 |
4,702 |
4,753 |
4,838 |
4,960 |
5,112 |
5.270 |
5,387 |
5,374 |
|
1,0 |
5,302 |
5,310 |
5,358 |
5,473 |
5,673 |
5,970 |
6,364 |
6,839 |
7,345 |
7,784 |
О |
—9,452 |
—9,057 |
-8,208 |
||
0,1 |
—5,580 |
—5,665 |
-5,701 |
||
0.2 |
—2,576 |
—2,642 |
-3.065 |
||
0,3 |
—0,306 |
—0,356 |
-0,671 |
||
0,4 |
|
1,359 |
|
1,327 |
1,108 |
0,5 |
|
2.475 |
|
2,452 |
2,296 |
0,6 |
|
3,242 |
|
3.226 |
3,119 |
0,7 |
|
3,819 |
|
3,811 |
3,761 |
0.8 |
|
4,192 |
|
4,192 |
4,189 |
0,9 |
|
4,430 |
|
4,437 |
4,474 |
1,0 |
|
4,601 |
|
4,613 |
4,688 |
О |
—10,731 |
—10,145 |
-8,909 |
||
0,1 |
— 5.768 |
— 5,898 |
-5,963 |
||
0,2 |
— |
2.089 |
— |
2,187 |
-2,809 |
0,3 |
|
0,521 |
|
0,454 |
0,011 |
0,4 |
|
2,278 |
|
2,237 |
1,955 |
0,5 |
|
3,312 |
|
3,284 |
3,091 |
0.6 |
|
3.903 |
|
3,882 |
3,747 |
0,7 |
|
4,240 |
|
4,232 |
4,175 |
0,8 |
|
4,324 |
|
4,325 |
4,327 |
0,9 |
|
4,239 |
|
4,247 |
4,295 |
1,0 |
|
4,070 |
|
4,084 |
4,171 |
О |
—11,871 |
—11,097 |
-9,489 |
||
0,1 |
— |
5,911 |
— |
6,087 |
-6,186 |
0,2 |
— |
1,645 |
— |
1,773 |
-2.589 |
0,3 |
|
1,233 |
|
1,149 |
0,595 |
0,4 |
|
3,028 |
|
2,984 |
2,660 |
0,5 |
|
3,980 |
|
3,950 |
3,735 |
0.6 |
|
4,426 |
|
4,402 |
4,247 |
0,7 |
|
4,564 |
|
4,556 |
4,499 |
0,8 |
|
4,419 |
|
4,422 |
4,432 |
0,9 |
|
4,087 |
|
4,096 |
4,152 |
1,0 |
|
3,660 |
|
3,675 |
3,766 |
О |
—12,905 |
—11,945 |
-9,979 |
||
0,1 |
— |
6,021 |
— |
6,243 |
-6,381 |
0,2 |
— |
1,235 |
— |
1,392 |
-2,398 |
—7,256 |
—6.392 |
—5,699 |
—5,197 |
—4,870 |
—4,688 |
—4,613 |
—4,601 |
—5,485 |
—5,196 |
—4,924 |
—4,709 |
—4,561 |
—4,474 |
—4,437 |
—4,430 |
—3,593 |
—3.888 |
—4,048 |
—4,133 |
—4,173 |
—4,189 |
—4,192 |
—4,192 |
—1,456 |
—2,356 |
—2,973 |
—3,381 |
—3,629 |
—3,761 |
—3,811 |
—3,819 |
0,546 |
—0,489 |
—1,598 |
—2,364 |
—2,851 |
—3,119 |
—3,226 |
—3,242 |
1.893 |
1,160 |
0 |
— 1,160 |
—1,893 |
—2,296 |
—2,452 |
—2,475 |
2,851 |
2,364 |
1,598 |
0,489 |
—0,546 |
—1,108 |
— 1.327 |
—1,359 |
3,629 |
3.381 |
2,973 |
2.356 |
1,456 |
0.671 |
0.356 |
0,306 |
4,173 |
4,133 |
4.048 |
3,888 |
3,593 |
3,065 |
2,642 |
2.576 |
4,561 |
4.709 |
4,924 |
5,196 |
5,485 |
5,701 |
5.665 |
5,580 |
4,870 |
5,197 |
5,699 |
6,392 |
7,256 |
8,208 |
9,057 |
9,452 |
—7,554 |
—6,360 |
—5,436 |
—4,792 |
—4,389 |
—4,171 |
—4,084 |
—4,070 |
—5,663 |
—5,261 |
—4,889 |
—4,602 |
—4,408 |
—4,295 |
—4,247 |
—4,239 |
—3,577 |
—3,987 |
—4,193 |
—4,286 |
—4,320 |
—4,327 |
—4,325 |
—4,324 |
—1,103 |
—2,366 |
—3,196 |
—3,718 |
—4,021 |
—4,175 |
—4,232 |
—4,240 |
1,204 |
—0,222 |
—1,749 |
—2.771 |
—3,405 |
—3,747 |
—3,882 |
—3,903 |
2,576 |
1,593 |
0 |
—1,593 |
—2,576 |
—3,091 |
—3.284 |
—3,312 |
3,405 |
2,771 |
1,749 |
0,222 |
—1,204 |
—1,955 |
—2.237 |
—2.278 |
4,021 |
3,718 |
3,196 |
2,366 |
1,103 |
—0,011 |
—0,454 |
—0,521 |
4,320 |
4,286 |
4,193 |
3,987 |
3,577 |
2,809 |
2,187 |
2,089 |
4,408 |
4,602 |
4,889 |
5,261 |
5,663 |
5,963 |
5,898 |
5,768 |
4,389 |
4,792 |
5,436 |
6,360 |
7,554 |
8,909 |
10,145 |
10,731 |
—7,766 |
—6,287 |
—5,182 |
—4,442 |
—3,997 |
—3,766 |
—3,675 |
—3,660 |
—5,812 |
—5,312 |
—4,858 |
—4,512 |
—4,283 |
—4,152 |
—4,096 |
—4,087 |
—3,588 |
—4,099 |
—4,334 |
—4,422 |
—4,440 |
—4,432 |
—4,422 |
—4,419 |
—0,821 |
—2,408 |
—3,410 |
—4,009 |
—4,340 |
—4,499 |
—4,556 |
—4,564 |
1,761 |
—0,009 |
—1,886 |
—3,112 |
—3,854 |
—4.247 |
—4,402 |
—4,426 |
3,141 |
1,965 |
0 |
—1,965 |
—3,141 |
—3.735 |
—3,950 |
—3,980 |
3,854 |
3,112 |
1,886 |
0,009 |
—1,761 |
—2,660 |
—2,984 |
—3,028 |
4,340 |
4,009 |
3,410 |
2,408 |
0,821 |
—0,595 |
—1,149 |
—1,233 |
4,440 |
4,422 |
4,334 |
4,099 |
3,588 |
2,589 |
1,773 |
1,645 |
4,283 |
4,512 |
4,858 |
5,312 |
5,812 |
6,186 |
6,087 |
5,911 |
3,997 |
4,442 |
5,182 |
6,287 |
7,766 |
9.489 |
11,097 |
11,871 |
—7,912 |
—6,184 |
—4,935 —4,132 —3,672 —3,443 —3,3->5 —3,341 |
|||||
—5,942 |
—5,355 —4,828 |
—4,436 |
—4,179 |
—4,035 |
—3,974 |
—3,963 |
|
—3,619 |
—4,219 |
—4,472 |
—4,545 |
—4,539 |
—4,511 |
—4,492 |
—4,488 |
|
|
|
|
|
|
|
|
|
|
Продолжение |
табл. Ѵ-3 |
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
а |
ß |
0 |
0,1 |
0,2 |
0,3 |
0,4 |
0,5 |
0.6 |
0,7 |
0,8 |
0,9 |
1,0 |
|
|
|||||||||||
|
0,3 |
1,855 |
1,757 |
1,103 |
—0,591 |
—2,473 |
—3,615 |
—4,264 |
—4,605 |
—4,756 |
—4,808 |
—4,816 |
|
0.4 |
3,649 |
3,604 |
3,256 |
2,243 |
0,189 |
—2,009 |
—3,400 |
—4,222 |
—4,653 |
—4,822 |
—4,849 |
25С |
0.5 |
4,520 |
4,490 |
4,256 |
3,620 |
2,290 |
0 |
—2,290 |
—3,620 |
—4,256 |
—4,490 |
—4.520 |
|
0,6 |
4,849 |
4,822 |
4,653 |
4,223 |
3,400 |
2,009 |
—0,189 |
—1,243 |
—3,256 |
—3,604 |
—3,649 |
|
0,7 |
4,816 |
4,808 |
4,756 |
4,603 |
4,264 |
3,615 |
2,473 |
0,591 |
—1,103 |
—1,757 |
—1,855 |
|
0,8 |
4,488 |
4,492 |
4,511 |
4,539 |
4,545 |
4,472 |
4,219 |
3,619 |
2,398 |
1,392 |
1,235 |
|
0,9 |
3,963 |
3,974 |
4,035 |
4,179 |
4,436 |
4,828 |
5,355 |
5,942 |
6,381 |
6,243 |
6,021 |
|
1,0 |
3,341 |
3,355 |
3,443 |
3,672 |
4,132 |
4,935 |
6,184 |
7,912 |
9,979 |
11,945 |
12,905 |
|
0 |
—13,856 |
—12,713 |
—10,399 |
—8,009 |
—6,060 |
—4,695 |
—3,856 |
—3,399 |
—3,182 |
—3,101 |
—3,088 |
|
0,1 |
—6,104 |
—6,374 |
—6,553 |
—6,055 |
—5,390 |
—4,801 |
—4,370 |
—4,093 |
—3,938 |
—3,872 |
—3,861 |
|
0,2 |
—0,850 |
—1,037 |
—2.229 |
—3,664 |
—4,346 |
—4,607 |
—4,657 |
—4,622 |
—4,572 |
—4,542 |
—4,536 |
|
0,3 |
2,407 |
2,297 |
1,552 |
—0,402 |
—2,556 |
—3,814 |
—4,492 |
—4,823 |
—4,962 |
—5,008 |
—5,014 |
|
0,4 |
4,169 |
4,126 |
3,768 |
2,668 |
0,356 |
—2,120 |
—3,648 |
—4,531 |
—4,988 |
—5,168 |
—5,197 |
300 |
0,5 |
4,962 |
4,935 |
4,712 |
4,032 |
2,580 |
0 |
—2,580 |
—4,032 |
—4,712 |
—4,935 |
—4,962 |
|
0,6 |
5.197 |
5,168 |
4,988 |
4,531 |
3,648 |
2,120 |
—0,356 |
—2,668 |
—3,768 |
—4,126 |
—4,169 |
|
0,7 |
5,014 |
5,008 |
4,962 |
4,823 |
4,492 |
3,814 |
2,556 |
0,402 |
— 1,552 |
—2,297 |
—2,407 |
|
0,8 |
4,536 |
4,542 |
4,572 |
4,622 |
4,657 |
4,607 |
4,346 |
3,664 |
2,229 |
1,037 |
0.850 |
|
0,9 |
3.861 |
3,872 |
3,938 |
4,093 |
4,370 |
4,801 |
5,390 |
6,055 |
6.553 |
6,374 |
6,104 |
|
1.0 |
3,088 |
3,101 |
3,182 |
3,399 |
3,856 |
4,695 |
6,060 |
8,009 |
10,399 |
12,713 |
13,856 |
|
0 |
—14,742 |
—13,417 |
—10,764 |
—8,068 |
-5,918 |
—4,462 —3,606 —3,167 —2,971 —2,899 |
—2,888 |
||||
|
0,1 |
—6,167 |
—6,484 |
—6,708 |
—6,156 |
—5,420 |
—4,776 |
—4,312 |
—4,019 |
—3,857 |
—3,788 |
—3,777 |
|
0,2 |
—0,487 |
—0,701 |
—2,077 |
—3,722 |
—4,478 |
—4,740 |
—4,761 |
—4,692 |
—4,618 |
—4,576 |
—4,569 |
|
0,3 |
2,903 |
2,783 |
1,954 |
—0,245 |
—2,650 |
—4,005 —4,696 |
—5,009 |
—5,130 |
—5,166 |
-5,171 |
|
|
0,4 |
4,607 |
4,568 |
4,212 |
3 048 |
0,507 |
—2,219 |
—3,860 |
—4,791 |
—5,268 |
—5,458 |
—5,489 |
350 |
0,5 |
5,328 |
5,303 |
5,089 |
4,394 |
2,841 |
0 |
—2,841 |
—4,394 |
—5,089 |
—5,303 |
—5,328 |
|
0,6 |
5,489 |
5.458 |
5,268 |
4.791 |
3,860 |
2,219 |
—0,507 |
—3,048 |
—4,212 |
—4,568 |
—4,607 |
|
0,7 |
5,171 |
5.166 |
5,130 |
5,009 |
4,696 |
4,005 |
2,650 |
0,245 |
—1,954 |
—2,783 |
—2,903 |
|
0,8 |
4,569 |
4,576 |
4,618 |
4,692 |
4,761 |
4,740 |
4,478 |
3,722 |
2,077 |
0,701 |
0,487 |
|
0,9 |
3,777 |
3,788 |
3,857 |
4,019 |
4,312 |
4,776 |
5,420 |
6,156 |
6,708 |
6,484 |
6,167 |
|
1,0 |
2,888 |
2,899 |
2,971 |
3,167 |
3,606 |
4,462 |
5,918 |
8,068 |
10,764 |
13,417 |
14,742 |
|
0 |
—15,573 |
—14,067 |
—11,083 |
—8,095 |
—5,764 |
—4,235 |
—3,378 |
—2,967 |
—2,797 |
—2,738 |
—2,728 |
|
0,1 |
—6,212 |
—6,578 |
—6,849 |
—6,247 |
—5,445 |
—4,753 |
—4,261 |
—3.955 |
—3,787 |
—3,716 |
—3,703 |
|
0,2 |
—0,140 |
—0.383 |
—1.940 |
—3,789 |
—4,613 |
—4,871 |
—4,858 |
—4,752 |
—4,652 |
—4,599 |
—4,589 |
|
0,3 |
3,353 |
3,223 |
2,319 |
—0,113 |
—2,754 |
—4,189 |
—4,881 |
—5,168 |
—5,266 |
—5,293 |
—5,297 |
|
0,4 |
4,978 |
4,945 |
4,601 |
3,392 |
0,645 |
—2,307 |
—4,045 |
—5,012 |
—5,505 |
—5,703 |
—5,737 |
400 |
0,5 |
5,632 |
5,612 |
5,412 |
4,713 |
3,080 |
0 |
—3,080 |
—4,713 |
—5,412 |
—5,612 |
—5.632 |
|
0,6 |
5,737 |
5,703 |
5,505 |
5,012 |
4,045 |
2,307 |
—0,645 |
—3,392 |
—4,601 |
—4,945 |
—4,978 |
|
0,7 |
5,297 |
5,293 |
5,266 |
5,168 |
4,881 |
4,189 |
2,754 |
0,113 |
—2,319 |
—3,223 |
—3.353 |
|
0,8 |
4,589 |
4,599 |
4,652 |
4,752 |
4,858 |
4,871 |
4,613 |
3,789 |
1,940 |
0,383 |
0,140 |
|
0,9 |
3,703 |
3,716 |
3,787 |
3,955 |
4,261 |
4,753 |
5,445 |
6,247 |
6,849 |
6,578 |
6,212 |
|
1,0 |
2,728 |
2,738 |
2,797 |
2,967 |
3,378 |
4,235 |
5,764 |
8,095 |
11,083 |
14,067 |
15,573 |
|
0 |
—16,360 |
—14.675 |
—11,365 |
—8,098 |
—5,600 |
—4.013 |
—3,168 |
—2,794 |
—2,655 |
—2,608 |
—2,600 |
|
0,1 |
—6,243 |
—6,657 |
—6,977 |
—6,330 |
—5,468 |
—4,731 |
—4,216 |
—3,900 |
—3,728 |
—3,654 |
—3,641 |
|
0,2 |
0,192 |
—0,078 |
—1,814 |
—3,864 |
—4,751 |
—4,999 |
—4,948 |
—4.804 |
—4,677 |
—4,612 |
—4,601 |
|
0,3 |
3,764 |
3,628 |
2,652 |
—0,009 |
—2,865 |
—4,367 |
—5,050 |
—5,305 |
—5,378 |
—5,395 |
—5,398 |
450 |
0,4 |
5,292 |
5,268 |
4,945 |
3,707 |
0,775 |
—2,385 |
—4,205 |
—5,201 |
—5,707 |
—5,915 |
—5,951 |
0,5 |
5,886 |
5,871 |
5,691 |
4,999 |
3,301 |
0 |
—3,301 |
—4,999 |
—5,691 |
—5,871 |
—5,886 |
|
|
0,6 |
5,951 |
5,915 |
5,707 |
5,201 |
4,205 |
2,385 |
—0,775 |
—3,707 |
—4,945 |
—5,268 |
—5,292 |
|
0,7 |
5,398 |
5,395 |
5,378 |
5,305 |
5,050 |
4,367 |
2,865 |
0,009 |
—2,652 |
—3.628 |
—3,764 |
|
0,8 |
4,601 |
4,612 |
4,677 |
4,804 |
4,948 |
4,999 |
4,751 |
3,864 |
1,814 |
0,078 |
—0,192 |
|
0,9 |
3,641 |
3,654 |
3,728 |
3,900 |
4,216 |
4,731 |
5,468 |
6,330 |
6,977 |
6,657 |
6,243 |
|
1,0 |
2,600 |
2,608 |
2,655 |
2,794 |
3,168 |
4,013 |
5,600 |
8,098 |
11,365 |
14,675 |
16,360 |
|
0 |
—17,109 |
—15,246 |
—11,617 |
—8,080 |
—5,429 |
—3,798 |
—2,974 |
—2,644 |
—2,537 |
—2,504 |
—2,497 |
|
0,1 |
—6,263 |
—6,726 |
—7,096 |
—6,407 |
—5,488 |
—4,712 |
—4,176 |
—3,852 |
—3,677 |
—3,601 |
—3,587 |
|
0,2 |
0,512 |
0,216 |
—1,697 |
—3,945 |
—4,890 |
—5,125 |
—5,034 |
—4,849 |
—4,695 |
—4,618 |
—4,605 |
|
0,3 |
4,143 |
3,999 |
2,959 |
0,094 |
—2,980 |
—4,539 |
—5,205 |
—5,423 |
—5,471 |
—5,478 |
—5,479 |
500 |
0,4 |
5,559 |
5,545 |
5,251 |
3,999 |
0,899 |
—2,453 |
—4,344 |
—5,363 |
—5,882 |
—6,100 |
—6,138 |
0,5 |
6,100 |
6,090 |
5,933 |
5,258 |
3,507 |
0 |
—3,507 |
—5,258 |
—5,933 |
—6,090 |
—6,100 |
|
|
0,6 |
6,138 |
6,100 |
5,882 |
5,363 |
4,344 |
2,453 |
—0,899 |
—3,999 |
—5,251 |
—5,545 |
—5,559 |
|
0,7 |
5,479 |
5,478 |
5,471 |
5,423 |
5,205 |
4,539 |
2,980 |
—0,094 |
—2,959 |
—3,999 |
—4.143 |
|
0,8 |
4,605 |
4,618 |
4,695 |
4,849 |
5,034 |
5,125 |
4,890 |
3,945 |
1,697 |
—0,216 |
—0,512 |
|
0,9 |
3,587 |
3,601 |
3,677 |
3,852 |
4,176 |
4,712 |
5,488 |
6,407 |
7,096 |
6,726 |
6,263 |
|
1,0 |
2,497 |
2,504 |
2,537 |
2,644 |
2,974 |
3,798 |
5,429 |
8,080 |
11,617 |
15,246 |
17,109 |
|
|
|
|
|
|
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|
Т а б л и ц а V 4 |
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Сосредоточенная |
сила Р (рис. V - IS) |
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_ |
у = |
Р |
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Значения у ; |
у |
|
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|
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||
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|
|
|
|
|
|
л £ 0 і |
|
|
|
|
|
а |
ß |
0 |
0,1 |
0.2 |
0,3 |
0,4 |
|
0,5 |
0,6 |
0,7 |
0,6 |
0,9 |
1,0 |
|
|
|
|||||||||||
|
0 |
0 |
—0,6286 |
— 1,257 |
—1,884 |
—2,509 |
—3,134 |
—3,758 |
—4,382 |
—5,005 |
—5,628 |
—6,251 |
|
|
0,1 |
0 |
—0,501 |
—1,002 |
—1,502 |
—2,003 |
|
—2,503 |
—3,003 |
—3,502 |
—4,002 |
—4,501 |
—5,000 |
|
0,2 |
0 |
—0,374 |
—0.748 |
—1,122 |
—1,497 |
|
—1,872 |
—2,248 |
—2,623 |
—2,999 |
—3,374 |
—3,750 |
|
0,3 |
0 |
—0,247 |
—0,495 |
—0,743 |
—0.992 |
|
—1.242 |
—1,493 |
—1,744 |
— 1,996 |
—2,248 |
—2,499 |
1 |
0,4 |
0 |
—0,122 |
—0,244 |
—0,366 |
—0.489 |
|
—0.614 |
—0,740 |
—0.867 |
—0,994 |
—1.121 |
—1,249 |
|
0,5 |
0 |
0,0032 |
0,0063 |
0,00903 |
0.01099 |
0,0117 |
0,011 |
0,0090 |
0,0063 |
0,0032 |
0 |
|
|
0,6 |
0 |
0,128 |
0,255 |
0,382 |
0,509 |
0.635 |
0,7598 |
0,883 |
1,006 |
1,127 |
1,249 |
|
|
0,7 |
0 |
0,252 |
0,503 |
0,755 |
1,006 |
|
1,257 |
1,507 |
1,756 |
2,005 |
2,252 |
2,499 |
|
0,8 |
0 |
0,376 |
0,751 |
1,127 |
1,502 |
|
1,878 |
2,253 |
2,628 |
3,002 |
3,376 |
3,750 |
|
0,9 |
0 |
0,499 |
0,999 |
1,498 |
1.997 |
|
2,497 |
2,997 |
3,498 |
3,998 |
4,499 |
5.000 |
|
1,0 |
0 |
0,623 |
1,246 |
1,869 |
2,492 |
|
3,116 |
3,741 |
4,367 |
4,994 |
5,622 |
6,251 |
|
0 |
0 |
—0,632 |
—1,263 |
—1,892 |
—2,519 |
|
—3,144 |
—3,767 |
—4,389 |
—5,010 |
—5,630 |
—6,251 |
|
0.1 |
0 |
—0,502 |
—1,003 |
—1,505 |
—2.006 |
|
—2,506 |
—3,005 |
—3,505 |
—4,003 |
—4,502 |
—5,000 |
|
0,2 |
0 |
—0.372 |
—0,745 |
—1,119 |
—1,494 |
|
—1,869 |
—2.245 |
—2,621 |
—2.997 |
—3,373 |
—3.750 |
|
0,3 |
0 |
—0.245 |
—0,490 |
—0,756 |
—0.984 |
|
—1,235 |
—1,486 |
—1,739 |
— 1,992 |
—2,245 |
—2,499 |
|
0,4 |
0 |
—0.118 |
—0,237 |
—0,357 |
—0,478 |
|
—0,603 |
—0.730 |
—0,858 |
—0,988 |
— 1,118 |
—1,248 |
2 |
0,5 |
0 |
0,0064 |
0,0126 |
0.018 |
0.022 |
|
0,023 |
0.022 |
0.018 |
0,013 |
0,0064 |
0 |
|
0.6 |
0 |
0,130 |
0,260 |
0,370 |
0.518 |
|
0,645 |
0,770 |
0,891 |
1,011 |
1,129 |
1,248 |
|
0,7 |
0 |
0.254 |
0,507 |
0,760 |
1,013 |
|
1,264 |
1,514 |
1,763 |
2,009 |
2,254 |
2,499 |
|
0,8 |
0 |
0,376 |
0,752 |
1.129 |
1,505 |
|
1,880 |
2,256 |
2.631 |
3,004 |
3,377 |
3,750 |
|
0,9 |
0 |
0,499 |
0,997 |
1,496 |
1,995 |
|
2,494 |
2.995 |
3,495 |
3,997 |
4,499 |
5,000 |
|
1,0 |
0 |
0,621 |
1,241 |
1,862 |
2,484 |
|
3,108 |
3,732 |
4,359 |
4,989 |
5,619 |
6,281 |
|
0 |
0 |
—0.643 |
—1.283 |
—1,917 |
—2.546 |
|
—3,171 |
—3.791 |
—4,409 |
—5,024 |
—5,639 |
—6,253 |
5 |
0.1 |
0 |
—0.504 |
—1,008 |
—1,512 |
—2.014 |
|
—2,515 |
—3,013 |
—3,511 |
—4.008 |
—4,504 |
—5,000 |
|
0,2 |
0 |
—0,368 |
—0,737 |
—1,110 |
—1,484 |
|
—1,861 |
—2,238 |
—2,615 |
—2,993 |
—3,371 |
—3,749 |
0,3 |
0 |
—0,237 |
—0,474 |
—0,715 |
—0,961 |
—1,212 |
—1,466 |
—1,722 |
—1,979 |
—2,238 |
—2,497 |
0,4 |
0 |
-0,109 |
—0,218 |
—0,330 |
—0,447 |
—0,570 |
—0,700 |
—0,834 |
—0.970 |
—1,107 |
— 1,245 |
0,5 |
Q |
0,016 |
0,031 |
0,045 |
0,054 |
0,058 |
0,054 |
0,045 |
0,031 |
0,016 |
0 |
0,6 |
0 |
0,137 |
0,276 |
0,412 |
0,545 |
0,675 |
0,797 |
0,915 |
1.027 |
1.137 |
1.245 |
0,7 |
0 |
0,259 |
0,517 |
0,775 |
1,031 |
1,285 |
1,536 |
1,782 |
2.022 |
2,260 |
2,497 |
0,8 |
0 |
0,378 |
0,756 |
1,134 |
1,511 |
1,888 |
2,264 |
2,639 |
3,011 |
3,380 |
3,749 |
0,9 |
0 |
0,496 |
0,992 |
1,490 |
1,987 |
2,486 |
2,987 |
3,489 |
3,992 |
4,497 |
5,000 |
1 |
0 |
0,614 |
1,229 |
1,844 |
2,461 |
3,082 |
3,706 |
4,335 |
4,970 |
5,610 |
6,252 |
0 |
0 |
—0,660 |
—1,315 |
—1,959 |
—2,592 |
—3,216 |
—3,831 |
—4,441 |
—5,047 |
—5,652 |
—6,255 |
0,1 |
0 |
—0,508 |
—1,016 |
—1,524 |
—2-028 |
—2,529 |
—3,027 —3,522 —4.016 —4,509 —5,002 |
||||
0,2 |
0 |
—0.362 |
—0,726 |
—1,096 |
—1,470 |
—1,847 |
—2,226 |
—2,606 |
—2,986 |
—3,367 |
—3,748 |
0,3 |
0 |
—0,224 |
—0,449 |
—0,681 |
—0,924 |
—1,175 |
—1.433 |
—1,695 |
—1,960 |
—2,227 |
—2,494 |
0,4 |
0 |
—0,093 |
—0,187 |
—0,286 |
—0,395 |
—0,517 |
—0.651 |
—0,793 |
—0.940 |
—1,090 |
—1,241 |
0.5 |
0 |
0,0313 |
0,062 |
0,088 |
0,107 |
0,115 |
0,107 |
0,088 |
0,062 |
0,031 |
0 |
0,6 |
0 |
0,151 |
0,300 |
0,448 |
0,590 |
0,724 |
0,845 |
0.9Г5 |
1,054 |
1,148 |
1,241 |
0,7 |
0 |
0,267 |
0,534 |
0,799 |
1,062 |
1,320 |
1,571 |
1,813 |
2,045 |
2,271 |
2,494 |
0,8 |
0 |
0,381 |
0,762 |
1,142 |
1,522 |
1,901 |
2,278 |
2,652 |
3,022 |
3,386 |
3,748 |
0,9 |
0 |
0,493 |
0,986 |
1,480 |
1,975 |
2,473 |
2,974 |
3,478 |
3,985 |
4,494 |
5,002 |
1,0 |
0 |
0,604 |
1,208 |
1,814 |
2,424 |
3,0396 |
3,663 |
4,296 |
4,940 |
5,594 |
6,255 |
0 |
0 |
—0,678 |
—1,346 |
—1,999 |
—2,636 |
—3,259 |
—3,870 |
—4,473 |
—5,070 |
—5,664 |
—6,258 |
0,1 |
0 |
—0,511 |
—1,024 |
—1,535 |
—2,041 |
—2,543 |
—3,039 |
—3,533 |
—4,023 |
—4,513 |
—5,000 |
0,2 |
0 |
—0,355 |
—0,714 |
—1,081 |
—1,455 |
—1,833 |
—2,214 |
—2,596 |
—2,9796 |
—3,363 |
—3,747 |
0,3 |
0 |
—0,211 |
—0,425 |
—0,648 |
—0,887 |
—1,139 |
—1.400 |
—1,669 |
—1,941 |
—2,216 |
—2,492 |
0,4 |
0 |
—0,077 |
—0,157 |
—0,243 |
—0,344 |
—0,465 |
—0,603 |
—0,753 |
—0,911 |
—1.073 |
—1,236 |
0,5 |
0 |
0,046 |
0,091 |
0,130 |
0,160 |
0,170 |
0,160 |
0,130 |
0,091 |
0,046 |
0 |
0,6 |
0 |
0,163 |
0,324 |
0,482 |
0,632 |
0,771 |
0,892 |
0,993 |
1,079 |
і . і е о |
1,236 |
0,7 |
0 |
0,275 |
0,550 |
0,823 |
1,091 |
1,353 |
1,605 |
1.843 |
2,066 |
2,280 |
2,492 |
0,8 |
0 |
0,384 |
0,767 |
1,150 |
1,533 |
1,914 |
2,292 |
2,666 |
3,033 |
3,392 |
3,747 |
0,9 |
0 |
0,489 |
0,979 |
1,470 |
1,968 |
2,460 |
2,961 |
3,467 |
3,978 |
4,491 |
5,002 |
1,0 |
0 |
0,593 |
1,188 |
1,785 |
2,388 |
2,999 |
3,622 |
4,259 |
4,912 |
5,580 |
6,258 |
0 |
0 |
—0,695 |
—1,377 |
—2,039 |
—2,679 |
—3,301 |
—3,908 |
—4,504 |
—5,092 |
—5,677 |
—6,260 |
0,1 |
0 |
—0,514 |
—1,032 |
—1,546 |
—2,055 |
—2,556 |
—3,052 |
—3,543 |
—4,031 |
—4,517 |
—5,000 |
0,2 |
0 |
—0,349 |
—0,703 |
—1,067 |
—1,441 |
—1,820 |
—2,202 —2,587 —2,973 —3,360 -3,746 |
||||
0,3 |
0 |
—0,199 |
—0,401 |
—0,616 |
—0,651 |
—1,103 |
—1,369 |
— 1,643 |
—1,923 |
—2,205 |
—2,489 |
0,4 |
0 |
—0,002 |
—0,127 |
—0,202 |
—0,295 |
—0,415 |
—0,557 |
—0,716 |
—0,864 |
—1,057 |
—1,231 |
Продолжение табл. Ѵ-4
а |
ß |
0 |
0,1 |
0,2 |
0,3 |
0,4 |
0,5 |
0,6 |
0,7 |
0,8 |
0,9 |
1.0 |
|
|
|||||||||||
20 |
0,5 |
0 |
0,0609 |
0,120 |
0,171 |
0,208 |
0,223 |
0,208 |
0,171 |
0,120 |
0,0609 |
0 |
|
0,6 |
0 |
0,175 |
0,348 |
0,516 |
0,674 |
0,817 |
0,937 |
1,030 |
1,104 |
1,169 |
1,231 |
|
0,7 |
0 |
0,283 |
0,566 |
0,845 |
1,120 |
1,385 |
1,638 |
1,873 |
2,087 |
2,290 |
2,489 |
|
0,8 |
0 |
0,386 |
0,773 |
1,159 |
1,543 |
1,926 |
2,305 |
2,678 |
3,043 |
3,397 |
3,746 |
|
0,9 |
0 |
0,486 |
0,972 |
1,460 |
1,951 |
2,447 |
2,949 |
3,457 |
3,971 |
4,488 |
5,000 |
|
1,0 |
0 |
0,584 |
1,168 |
1,757 |
2,352 |
2,959 |
3,581 |
4,222 |
4,883 |
5,565 |
6,260 |
|
0 |
0 |
—0,712 |
—1,407 |
—2,077 |
—2,721 |
—3,343 |
—3,945 |
—4,534 |
—5,114 |
—5,689 |
—6,263 |
|
0,1 |
0 |
—0,518 |
—1,039 |
—1,557 |
—2,067 |
—2,569 |
—3,064 |
—3,553 |
—4,038 |
—4,521 |
—5,004 |
|
0,2 |
0 |
—0,343 |
—0,691 |
—1,054 |
—1,427 |
—1,808 |
—2,192 |
—2,579 |
—2,967 |
—3,356 |
—3,745 |
|
0,3 |
0 |
—0,187 |
—0,378 |
—0,584 |
—0,816 |
—1,069 |
—1,338 |
—1,618 |
—1,905 |
—2,195 |
—2,486 |
|
0,4 |
0 |
—0,047 |
—0,098 |
—0,161 |
—0,247 |
—0,366 |
—0,512 |
—0,679 |
—0,857 |
—1,041 |
—1,227 |
25 |
0,5 |
0 |
0,075 |
0,147 |
0,211 |
0,257 |
0,275 |
0,257 |
0,211 |
0,147 |
0,075 |
0 |
|
0,6 |
0 |
0,186 |
0,370 |
0,548 |
0,714 |
0,861 |
0,980 |
1,066 |
1.128 |
1,180 |
1,227 |
|
0,7 |
0 |
0,291 |
0,580 |
0,868 |
1,148 |
1,417 |
1,670 |
1,902 |
2.108 |
2,299 |
2,486 |
|
0,8 |
0 |
0,389 |
0,778 |
1,166 |
1,553 |
1,937 |
2,318 |
2,691 |
3.054 |
3,402 |
3,745 |
|
0,9 |
0 |
0,483 |
0,966 |
1,451 |
1,940 |
2,435 |
2,937 |
3,447 |
3,965 |
4,486 |
5.004 |
|
1,0 |
0 |
0,574 |
1,149 |
1,729 |
2,318 |
2,920 |
3,541 |
4,186 |
4,856 |
5,551 |
6,263 |
|
0 |
0 |
—0,791 |
—1,549 |
—2,258 |
—2,918 |
—3,534 |
—4,115 |
—4,672 |
—5,212 |
—5,745 |
—6,276 |
|
0,1 |
0 |
—0,534 |
—1,074 |
—1,607 |
—2,127 |
—2,630 |
—3,120 |
—3,599 |
—4,071 |
—4,540 |
—5,008 |
|
0,2 |
0 |
—0,313 |
—0,637 |
—0,989 |
—1,363 |
—1,748 |
—2,141 |
—2,539 |
—2,939 |
—3,339 |
—3,740 |
|
0,3 |
0 |
—0,130 |
—0,269 |
—0,436 |
—0,653 |
—0,910 |
—1,197 |
—1,504 |
—1,822 |
—2,146 |
—2,472 |
50 |
0,4 |
0 |
0,021 |
0,035 |
0,028 |
—0,024 |
—0,138 |
—0,304 |
—0,506 |
—0,731 |
—0,966 |
—1,204 |
|
0,5 |
0 |
0,140 |
0,275 |
0,395 |
0,481 |
0,515 |
0,481 |
0,395 |
0,275 |
0,140 |
0 |
|
0,6 |
0 |
0,239 |
0,474 |
0,698 |
0,900 |
1,066 |
1,181 |
1,232 |
1,240 |
1,225 |
1,204 |
|
0,7 |
0 |
0,326 |
0,650 |
0,968 |
1,275 |
1,562 |
1,820 |
2,036 |
2.204 |
2,342 |
2,472 |
|
0,8 |
0 |
0,401 |
0,801 |
1,201 |
1,599 |
1,992 |
2,378 |
2,751 |
3,103 |
3,427 |
3,740 |
|
0,9 |
0 |
0,468 |
0,937 |
1,409 |
1,888 |
2.378 |
2,881 |
3,400 |
3,934 |
4,474 |
5,008 |
|
1,0 |
0 |
0,530 |
1,063 |
1,604 |
2,161 |
2,742 |
3,358 |
4,018 |
4,727 |
5,484 |
6,276 |
|
0 |
0 |
—0,931 |
—1,796 |
—2,570 |
-3,251 |
—3,854 |
—4,397 —4,899 —5.376 —5,840 —6,300 |
||||
|
0,1 |
0 |
—0,560 |
—1,132 |
—1,692 |
—2,226 |
—2,732 |
—3,213 |
—3,676 |
—4,127 |
—4,572 |
—5,016 |
|
0,2 |
0 |
—0,259 |
—0,540 |
—0,876 |
—1,251 |
—1,649 |
—2,058 |
—2,474 |
—2,892 |
—3,311 |
—3,730 |
|
0,3 |
0 |
—0,032 |
—0,080 |
—0,182 |
—0,375 |
—0,644 |
—0,963 |
—1,315 |
—1,685 |
—2,064 |
—2,446 |
|
0,4 |
0 |
0,135 |
0,259 |
0,345 |
0,352 |
0,245 |
0,044 |
—0,219 |
—0,519 |
—0,837 |
—1,161 |
100 |
0.5 |
0 |
0,247 |
0,486 |
0,698 |
0,854 |
0,916 |
0,854 |
0,698 |
0,486 |
0,247 |
0 |
|
0,6 |
0 |
0,324 |
0,642 |
0,942 |
1,205 |
1,406 |
1,513 |
1,506 |
1,420 |
1,296 |
1,161 |
|
0,7 |
0 |
0,382 |
0,761 |
1,131 |
1,483 |
1,802 |
2,070 |
2,264 |
2,366 |
2,414 |
2.446 |
|
0,8 |
0 |
0,419 |
0,838 |
1,257 |
1,672 |
2,082 |
2,479 |
2,855 |
3,190 |
3,471 |
3,730 |
|
0,9 |
0 |
0,443 |
0,888 |
1,340 |
1,803 |
2,284 |
2,789 |
3.J23 |
3,884 |
4,455 |
5.016 |
|
1 |
0 |
0,460 |
0,925 |
1,402 |
1,904 |
2,447 |
3,050 |
3,731 |
4,504 |
5,369 |
6,300 |
|
0 |
0 |
—1,052 |
—2,008 |
—2,830 |
—3,524 |
—4,111 |
—4,621 |
—5,078 |
-5,505 |
—5,917 |
—6,324 |
|
0,1 |
0 |
—0,580 |
—1,178 |
—1,761 |
—2,307 |
—2,814 |
—3,288 |
—3,737 |
—4,172 |
—4,599 |
—5,023 |
|
0.2 |
0 |
—0,211 |
—0,455 |
—0,778 |
—1,159 |
—1,569 |
—1,993 |
—2,424 |
—2,856 |
—3,289 |
—3,722 |
|
0 3 |
0 |
0,050 |
0,078 |
0,030 |
—0,147 |
—0,429 |
—0,776 |
-1,165 |
—1,576 |
—1,997 |
—2,420 |
150 |
0,4 |
0 |
0,227 |
0,439 |
0,602 |
0,658 |
0,554 |
0,325 |
0,013 |
—0,347 |
—0,729 |
—1,119 |
|
0,5 |
0 |
0,331 |
0,651 |
0,938 |
1,151 |
1,236 |
1,151 |
0,938 |
0,651 |
0,331 |
0 |
|
0,6 |
0 |
0,390 |
0,773 |
1,132 |
1,444 |
1,673 |
1,777 |
1,721 |
1,559 |
1,346 |
1,119 |
|
0,7 |
0 |
0,424 |
0,845 |
1,256 |
1,644 |
1,992 |
2,273 |
2,451 |
2,499 |
2,471 |
2,420 |
|
0,8 |
0 |
0,432 |
0,865 |
1,298 |
1,728 |
2,153 |
2,563 |
2,943 |
3,267 |
3,510 |
3,722 |
|
0,9 |
0 |
0,424 |
0,851 |
1,285 |
1,735 |
2,209 |
2,716 |
3,262 |
3,845 |
4,443 |
5,023 |
|
1,0 |
0 |
0,407 |
0,819 |
1,246 |
1,703 |
2,212 |
2,800 |
3,494 |
4,316 |
5,272 |
6,324 |
|
0 |
0 |
—1,160 |
—2,192 |
—3,054 |
—3,754 |
—4,324 |
—4,802 |
—5,222 |
—5,609 |
—5,980 |
—6,346 |
|
0,1 |
0 |
—0,596 |
—1,215 |
—1,817 |
—2,374 |
—2,881 |
—3,349 |
—3,788 |
—4,209 |
—4,621 |
—5,030 |
|
0,2 |
0 |
—0,168 |
—0,378 |
—0,692 |
—1,079 |
—1,503 |
—1,941 |
—2,385 |
—2,828 |
—3,271 |
—3,713 |
|
0,3 |
0 |
0,121 |
0,214 |
0,211 |
0,044 |
—0,251 |
—0,624 |
—1,044 |
—1,487 |
—1,940 |
—2,396 |
200 |
0,4 |
0 |
0,302 |
0,587 |
0,815 |
0,911 |
0,810 |
0,566 |
0,204 |
—0,204 |
—0,637 |
—1,079 |
|
0,5 |
0 |
0,397 |
0,784 |
1,132 |
1,393 |
1,498 |
1,393 |
1,132 |
0,784 |
0,397 |
0 |
|
0,6 |
0 |
0,442 |
0,876 |
1,283 |
1,635 |
1,890 |
1,990 |
1,894 |
1,667 |
1,381 |
1,079 |
|
0,7 |
0 |
0,456 |
0,909 |
1,353 |
1,772 |
2,145 |
2,440 |
2,608 |
2,610 |
2,517 |
2,396 |
|
0,8 |
0 |
0,442 |
0,885 |
1,328 |
1,772 |
2,210 |
2,634 |
3,021 |
3,335 |
3,545 |
3,713 |
|
0,9 |
0 |
0,409 |
0,821 |
1,242 |
1,681 |
2,148 |
2.656 |
3,212 |
3,814 |
4,434 |
5,030 |
|
1,0 |
0 |
0,366 |
0,738 |
1,124 |
1,544 |
2,022 |
2,593 |
3,292 |
4,154 |
5,187 |
6,346 |
|
0 |
0 |
—1,256 |
—2,356 |
—3,249 |
—3,950 |
—4,502 |
—4,952 |
—5,340 |
—5,694 |
—6,033 |
—6,368 |
250 |
0,1 |
0 |
—0,608 |
—1,246 |
—1,865 |
—2,430 |
—2,938 |
—3,400 |
—3,830 |
—4,240 |
—4,640 |
—5,036 |
|
0,2 |
0 |
—0,127 |
—0,307 |
—0,614 |
—1,010 |
—1,447 |
—1,899 |
—2,353 |
—2,806 |
—3,256 |
—3,705 |
Продолжение табл. Ѵ-4
|
0,1 |
0,2 |
0,3 |
0.4 |
0,5 |
0,6 |
0,7 |
0.8 |
0,9 |
|
0,3 |
0,183 |
0,333 |
0,369 |
0,208 |
-0,101 |
-0,499 |
-0,944 |
-1,413 |
-1,892 |
|
0,4 |
0,364 |
0,711 |
0,993 |
1,125 |
1,026 |
0,750 |
0,365 |
-0,082 |
-0,557 |
|
0,5 |
0,451 |
0,892 |
1,290 |
1,593 |
1,717 |
1,593 |
1,290 |
0,892 |
0,451 |
|
0,6 |
0,484 |
0,960 |
1,406 |
1,791 |
2,067 |
2.166 |
2,034 |
1,752 |
1,405 |
|
0,7 |
0,481 |
0,960 |
1,429 |
1,875 |
2,272 |
2,581 |
2,742 |
2,706 |
2,556 |
|
0,8 |
0,449 |
0,899 |
1,351 |
1,806 |
2,258 |
2,694 |
3,090 |
3.398 |
3,577 |
|
0,9 |
0,397 |
0,796 |
1,206 |
1,636 |
2,098 |
2,606 |
3,171 |
3,790 |
4,429 |
|
1,0 |
0,334 |
0,673 |
1,028 |
1,416 |
1,866 |
2,418 |
3,119 |
4,012 |
5,112 |
|
|
||||||||||
0,0 |
-1.345 |
-2,505 |
-3,423 |
-4,121 |
-4,654 |
-5,078 |
-5,438 |
-5,766 |
-6,079 |
|
0,1 |
-0,617 |
-1,272 |
-1,906 |
-2,478 |
-2,987 |
-3,444 |
-3,866 |
-4,266 |
-4,656 |
|
0,2 |
-0,090 |
-0.241 |
-0.544 |
-0,949 |
-1,399 |
-1,864 |
-2,328 |
-2,788 |
-3,243 |
|
0,3 |
0,238 |
0,438 |
0,508 |
0,351 |
0,027 |
-0,392 |
-0,860 |
-1,351 |
-1,850 |
|
0,4 |
0,416 |
0,815 |
1,145 |
1,308 |
1,210 |
0,916 |
0,502 |
0,023 |
-0,486 |
|
0,5 |
0,496 |
0,980 |
1,423 |
1,761 |
1,901 |
1,761 |
1,423 |
0,980 |
0,496 |
|
0,6 |
0,519 |
1,029 |
1,507 |
1,921 |
2.215 |
2,313 |
2,150 |
1,820 |
1,421 |
|
0,7 |
0,501 |
1,000 |
1,491 |
1,958 |
2,377 |
2,702 |
2,859 |
2,789 |
2,589 |
|
0,454 |
||||||||||
0,8 |
0,909 |
1,369 |
1,833 |
2,297 |
2,748 |
3,153 |
3,456 |
3,607 |
||
0,386 |
||||||||||
0,9 |
0,776 |
1,177 |
1,599 |
2,056 |
2,564 |
3.137 |
3,770 |
4.425 |
||
0,309 |
||||||||||
1,0 |
0,623 |
0,950 |
1,310 |
1,734 |
2,267 |
2,966 |
3,884 |
5,044 |
||
|
||||||||||
0,0 |
-1,427 |
-2,640 |
-3,579 |
-4,272 |
-4,786 |
-5,185 |
-5,521 |
-5,826 |
-6,119 |
|
0,1 |
-0,625 |
-1,294 |
-1,941 |
-2.520 |
-3,028 |
-3,481 |
-3,896 |
-4,289 |
-4,671 |
|
0,2 |
-0,054 |
-0,179 |
-0,479 |
-0,894 |
-1,358 |
-1,834 |
-2,307 |
-2,773 |
-3,232 |
|
0,3 |
0,287 |
0,533 |
0,632 |
0,477 |
0,137 |
-0,302 |
-0,790 |
-1,297 |
-1,813 |
|
0,4 |
0,460 |
0,903 |
1,275 |
1,467 |
1,370 |
1,059 |
0,622 |
0,116 |
-0,422 |
|
0,5 |
0,532 |
1,054 |
1,534 |
1,905 |
2,059 |
1,905 |
1,534 |
1,054 |
0,532 |
|
0,6 |
0,548 |
1,086 |
1,592 |
2,029 |
2,341 |
2,437 |
2,246 |
1,874 |
1,430 |
|
0,7 |
0.517 |
1,032 |
1,540 |
2,028 |
2,467 |
2,807 |
2,962 |
2,863 |
2,617 |
|
0,8 |
0,457 |
0,916 |
1,382 |
1,855 |
2,331 |
2,795 |
3,210 |
3,510 |
3,635 |
|
0,9 |
0,378 |
0,759 |
1,152 |
1,568 |
2,020 |
2,529 |
3,108 |
3,754 |
4,424 |
|
1,0 |
0,289 |
0,582 |
0,887 |
1,223 |
1,622 |
2,136 |
2,829 |
3,768 |
4,981 |
0,0 |
0 |
—1,503 |
—2,765 |
—3,721 |
—4,407 |
—4,901 |
—5,276 |
—5,591 |
—5,878 |
—6,154 |
—6,427 |
|
0,1 |
0 |
—0,630 |
—1,313 |
—1,972 |
—2,556 |
—3,065 |
—3,514 |
—3,923 |
—4,309 |
—4.684 |
—5,054 |
|
0,2 |
0 |
—0,020 |
—0,121 |
—0,418 |
—0,845 |
—1,322 |
—1,810 |
—2,291 |
—2.761 |
—3.223 |
—3,682 |
|
0,3 |
0 |
0,332 |
0,619 |
0,745 |
0,589 |
0,234 |
—0,224 |
—0,729 |
—1,251 |
—1,780 |
—2,309 |
|
0,4 |
0 |
0,497 |
0,979 |
1,389 |
1,606 |
1,511 |
1,185 |
0,727 |
0,198 |
—0.364 |
—0,937 |
|
0,5 |
0 |
0,563 |
1,117 |
1,629 |
2,028 |
2,196 |
2,028 |
1,629 |
1,117 |
0,563 |
0 |
|
0,6 |
0 |
0,573 |
1,135 |
1,664 |
2,122 |
2,447 |
2,543 |
2,325 |
1,916 |
1,434 |
0,937 |
|
0,7 |
0 |
0,530 |
1,058 |
1,581 |
2,085 |
2,543 |
2,808 |
3,054 |
2,928 |
2,641 |
2,309 |
|
0,8 |
0 |
0,459 |
0,921 |
1,391 |
1,872 |
2,350 |
2,837 |
3,264 |
3,561 |
3,662 |
3,682 |
|
0,9 |
0 |
0,371 |
0,745 |
1,131 |
1,541 |
1,990 |
2,498 |
3,083 |
3,741 |
4,424 |
5,054 |
|
1,0 |
0 |
0,273 |
0,549 |
0,836 |
1,151 |
1,527 |
2,020 |
2,706 |
3,662 |
4,924 |
6,427 |
|
0,0 |
0 |
—1,575 |
—2,882 |
—3,851 |
—4,528 |
—5,002 |
—5,356 |
—5,651 |
—5,922 |
—6,185 |
—6,445 |
|
0,1 |
0 |
—0.635 |
—1,329 |
—1,999 |
—2,589 |
—3,097 |
—3,542 |
—3.947 |
—4.327 |
—4,696 |
—5,060 |
|
0,2 |
0 |
0,012 |
—0,065 |
- 0 361 |
—0,799 |
—1,290 |
—1,789 —2.277 —2,751 —3.215 —3,675 |
|||||
0,3 |
0 |
0,373 |
0,697 |
0,847 |
0,690 |
0,320 |
—0.156 —0,676 —1.211 -1.750 —2.290 |
|||||
0,4 |
0 |
0,529 |
1,044 |
1,487 |
1,729 |
1,635 |
1,296 |
0,821 |
0,272 |
—0.311 |
—0.905 |
|
0,5 |
0 |
0,588 |
1,169 |
1,710 |
2,135 |
2,316 |
2,135 |
1,710 |
1,169 |
0.588 |
0 |
|
0,6 |
0 |
0.594 |
1,177 |
1,726 |
2,201 |
2,539 |
2.634 |
2,392 |
1,949 |
1,433 |
0.905 |
|
0,7 |
0 |
0,540 |
1,079 |
1,614 |
2,134 |
2,609 |
2,980 |
3,137 |
2,987 |
2,663 |
2,290 |
|
0,8 |
0 |
0,460 |
0,924 |
1,398 |
1,886 |
2,385 |
2,876 |
3,314 |
3,610 |
3,687 |
3,675 |
|
0,9 |
0 |
0,364 |
0,733 |
1,113 |
1,518 |
1,963 |
2,471 |
3,061 |
3,731 |
4,425 |
5,060 |
|
1,0 |
0 |
0,260 |
0,523 |
0,794 |
1,089 |
1,443 |
1,917 |
2,594 |
3,563 |
4,870 |
6,445 |
|
0,0 |
0 |
—1.644 |
—2,992 |
—3,971 |
—4,638 |
—5,092 |
—5,425 |
—5,703 |
—5,961 |
—6,213 |
—6.463 |
|
0,1 |
0 |
—0,638 |
—1,343 |
—2,023 |
—2,617 |
—3,125 |
—3,568 |
—3,968 |
—4,343 |
—4,706 |
—5,065 |
|
0,2 |
0 |
0,044 |
—0,011 |
—0,307 |
—0,757 |
—1,262 |
—1,771 |
—2,266 |
—2,742 |
—3,207 |
—3,668 |
|
0,3 |
0 |
0,411 |
0,770 |
0,942 |
0,782 |
0,396 |
—0,097 |
—0,630 |
—1,176 |
—1,723 |
—2,271 |
|
0,4 |
0 |
0,556 |
1,100 |
1,574 |
1,838 |
1,745 |
1,396 |
0,905 |
0,340 |
—0,261 |
—0,874 |
|
0,5 |
0 |
0,610 |
1,213 |
1,779 |
2,229 |
2,422 |
2,229 |
1,779 |
1,213 |
0,610 |
0 |
|
0,6 |
0 |
0,613 |
1,214 |
|||||||||
1,779 |
2,270 |
2,619 |
2,712 |
2,448 |
1,974 |
1,430 |
0,874 |
|||||
0,7 |
0 |
0.548 |
1,095 |
1,641 |
2,174 |
2,667 |
3,053 |
3,213 |
3,041 |
2,682 |
2,271 |
|
0.8 |
0 |
0,461 |
0,926 |
1,402 |
1,897 |
2,406 |
2,911 |
3,361 |
3,657 |
3,712 |
3,668 |
|
0,9 |
0 |
0,359 |
0,722 |
|||||||||
1,098 |
1,498 |
1,940 |
2,448 |
3,043 |
3,722 |
4,427 |
5,065 |
|||||
1,0 |
0 |
0,250 |
0,502 |
|||||||||
0,760 |
1,038 |
1,371 |
1,824 |
2,491 |
3,471 |
4,819 |
6,463 |
|||||
|
|
|
|
§ |
3. Таблицы для определения |
углов |
поворота |
|
и |
относительных прогибов балки, |
моментом МА, |
||
нагруженной |
одним сосредоточенным |
|||
действующим |
в произвольном |
месте |
|
|
по длине балки (рис. Ѵ-18) |
|
|
Для составления расчетных таблиц используем формулы (Ѵ-28) — (Ѵ-30). Подставляя значения а0, alt а2иа3 из формул (Ѵ-28)в формулы (У-29) и (Ѵ-30), получаем:
X
lz=ßPL
L
и
Рис. Ѵ-18
Формула для определения угловой деформации:
Ф |
ѵ.Е0 |
{ - - |
§ - 0 |
- 6 ^ |
+ |
4?) |
|
322 |
|
|
|
{ |
|
24 |
|
|
|
|
|
|
|
|
80640 |
+ |
1680 5 — 1680 £2 |
+ |
3360 (5 — 0,5)4 ] |
+ |
|
|||
+ - ^ — 4 2 0 + |
840 £ — 2688 (£ — 0,5)5] |
| а ~ [— 90 — |
|
|||||||
|
— |
+ |
504 g — 504 £2 |
+ |
2688 (S - |
0,5)8 ] |
+ |
|
||
|
+ -тіЬ |
Г>, (S - |
Bs) - |
3(1 - |
ß2 )2 - (352 - |
1)]} •bL2 * |
(V-39) |
где a0 , ßi, a2 и a3— отвлеченные параметры, включенные в фигурные скобки формул (Ѵ-28).
174