计算附加应力系数和平均附加应力系数

22.5
3
13.38 26.34908727 22.69911893
22.5
3
18.5 29.28310093 22.69911893
22.5
3
19.48 29.91187724 22.69911893
22.5
3
22.58 32.01728283 22.69911893
22.5
3
29.28 37.04819024 22.69911893
12.85496013
12.5
3
29.28
31.97762343
12.85496013
12.5
3
33.80
36.16199663
12.85496013
12.5
3
35.00
37.28605638
12.85496013
六点
L 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5
27
12.5 29.28 41.74408222 29.75315109
27
12.5 33.80 45.02987897 29.75315109
27
12.5 35.00 45.93745748 29.75315109
(L^2+B^2+Z^2)
L
B
Z
^0.5
(L^2+B^2)^0.5
21
12.5 3.44 24.67961912 24.43869882
27
22.5
27
22.5
Z 3.44 5.34 7.04 8.84 11.44 13.54 18.5 19.34 23.04 30.04 33.80 35.00
a 0.2495 0.2481 0.2459 0.2423 0.2350 0.2274 0.2051 0.2009 0.1824 0.1487 0.1327 0.1279
B
Z
a
3
3.44 0.1929
3
5.34 0.1492
3
7.04 0.1211
3
8.84 0.0998
3
11.44 0.0785
3
13.54 0.0663
3
18.5 0.0471
3
19.34 0.0446
3
23.04 0.0359
3
30.04 0.0250
3
33.80 0.0210
3
35.00 0.0199
(L^2+B^2+Z^2)
L
B
Z
^0.5
(L^2+B^2)^0.5
27
12.5
3.08 29.91214469 29.75315109
27
12.5
5.38 30.23564783 29.75315109
27
12.5
7.38 30.65476146 29.75315109
27
12.5
8.58 30.96556797 29.75315109
35.00
a 0.2496 0.2481 0.2453 0.2429 0.2352 0.2280 0.2051 0.2002 0.1847 0.1522 0.1327
0.1279
L
B
27
22.5
27
22.5
27
22.5
27
22.5
27
22.5
27
22.5
27
22.5
27
22.5
27
22.5
27
22.5
L 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5
B
Z
9
3.44
9
5.34
9
7.04
9
8.84
9
11.44
9
13.54
9
18.5
9
19.34
9
23.04
9
30.04
9
33.80
9
35.00
平均附加应力系数计算
(L^2+B^2+Z^2)^ 0.5
3
3.08 22.90712553 22.69911893
22.5
3
5.38 23.32797462 22.69911893
22.5
3
7.38 23.86869079 22.69911893
22.5
3
8.58
24.2665696
22.69911893
22.5
3
11.38 25.39201449 22.69911893
22.5
3
33.80 40.71473935 22.69911893
22.5
3
35.00 41.71630377 22.69911893
a 0.2483 0.2446 0.2392 0.2319 0.2196 0.2091 0.1849 0.1811 0.1654 0.1408 0.1301 0.1270
27
12.5 11.38 31.85520993 29.75315109
27
12.5 13.38 32.62321873 29.75315109
27
12.5
18.5 35.03569608 29.75315109
27
12.5 19.48 35.56290764 29.75315109
27
12.5 22.58 37.35112314 29.75315109
24.47618434 24.81462472 25.23512631 25.79526313 26.79782827 27.75935158 30.48770244 31.00460611 33.43787673 38.59600497 41.58954195 42.57052971
(L^2+B^2)^0.5 24.23324163 24.23324163 24.23324163 24.23324163 24.23324163 24.23324163 24.23324163 24.23324163 24.23324163 24.23324163 24.23324163 24.23324163
a 0.2345 0.2086 0.1877 0.1767 0.1553 0.1430 0.1189 0.1153 0.1050 0.0880 0.0794 0.0774
a 0.2486 0.2455 0.2412 0.2353 0.2254 0.2168 0.1966 0.1934 0.1797 0.1574 0.1471 0.1441
L 27 27 27 27 27 27 27 27 27 27 27
27
B 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5
22.5
Z 3.08 5.38 7.38 8.58 11.38 13.38 18.5 19.48 22.58 29.28 33.80
12.5
27
12.5
27
12.5
27
12.5
27
12.5
a 0.2344 0.2082 0.1868 0.1755 0.1531 0.1400 0.1145 0.1106 0.0997 0.0820 0.0732 0.0712
(L^2+B^2+Z^2)^
L
B
Z
0.5
(L^2+B^2)^0.5
22.5
15.4029218
9
13.54
20.50808621
15.4029218
9
18.5
24.07280623
15.4029218
9
19.34
24.72419058
15.4029218
9
23.04
27.71446554
15.4029218
9
30.04
33.75872628
15.4029218
9
33.80
21
12.5 35.00 42.68782028 24.43869882
∑α 0.9026 0.7863 0.7092 0.6709 0.5955 0.5494 0.4500 0.4333 0.3850 0.3000 0.2550 0.2444
七点
L
B
Z (L^2+B^2+Z^2)^0.5 (L^2+B^2)^0.5
12.5
3
3.08
13.21878966
12.85496013
12.5
3
5.38
13.93536508
12.85496013
12.5
3
7.38
14.82276627
12.85496013
12.5
3
8.58
15.4553033
Z 3.44 5.34 7.04 8.84 11.44 13.54 18.5 19.34 23.04 30.04 33.80 35.00
a 0.2479 0.2429 0.2356 0.2256 0.2084 0.1936 0.1598 0.1545 0.1331 0.1008 0.0873 0.0835
3
7.38 0.1165
3
8.58 0.1024
3
11.38 0.0789
3
13.38 0.0671
3
18.5 0.0471
3
19.48 0.0443
3
22.58 0.0369
3
29.28 0.0259
3
33.80 0.0210
3 35.00 0.0199
L 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5
矩形面积上均布荷载作用下角点的 附加应力系数
L 1
B 1
Z 3
a 0.0447
矩形面积上均布荷载作用下角点的 平均附加应力系数
L 3.2
B 2.5
Z (L^2+B^2+Z^2)^0.5 (L^2+B^2)^0.5
3
5.048762225
4.060788101
7点
L
12.5
12.5
12.5
12.5
12.5
21
12.5 5.34 25.01530731 24.43869882
21
12.5 7.04 25.43249103 24.43869882
21
12.5 8.84 25.98837432 24.43869882
21
12.5 11.44 26.98376549 24.43869882
21
12.5 13.54 27.93889046 24.43869882
B
Z (L^2+B^2+Z^2)^0.5 (L^2+B^2)^0.5
9
3.44
15.78238258
15.4029218
9
5.34
16.30231885
15.4029218
9
7.04
16.93551298
15.4029218
9
8.84
17.75938062
15.4029218
9
11.44
19.18654737
0.0132
6点
源自文库
L
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
12.5
B
Z
3
3.44
3
5.34
3
7.04
3
8.84
3
11.44
3
13.54
3
18.5
3
19.34
3
23.04
3
30.04
3
33.80
3
35.00
a 0.1925 0.1478 0.1184 0.0955 0.0721 0.0587 0.0381 0.0356 0.0270 0.0173 0.0140 0.0132
Z 3.08 5.38 7.38 8.58 11.38 13.38 18.5 19.48 22.58 29.28 33.80
35.00
a 0.2484 0.2427 0.2339 0.2272 0.2088 0.1947 0.1598 0.1536 0.1355 0.1038 0.0873
0.0835
附加应力系数计算
L 27 27 27 27 27 27 27 27 27 27 27
27
B 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5
12.5
L
B
27
12.5
27
12.5
27
12.5
27
12.5
27
12.5
27
12.5
27
12.5
27
12.5
12.5
12.5
12.5
12.5
12.5
12.5
B
Z
3
3.08
3
5.38
3
7.38
3
8.58
3
11.38
3
13.38
3
18.5
3
19.48
3
22.58
3
29.28
3
33.80
3 35.00
a 0.2021 0.1470 0.1135 0.0984 0.0726 0.0596 0.0381 0.0352 0.0279 0.0181 0.0140
12.85496013
12.5
3
11.38
17.16841286
12.85496013
12.5
3
13.38
18.55463284
12.85496013
12.5
3
18.5
22.52776065
12.85496013
12.5
3
19.48
23.33924592
12.85496013
12.5
3
22.58
25.9828097
37.14417855
15.4029218
9
35.00
38.23937761
15.4029218
加应力系数
附加应力系数
a 0.2212
L 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5
22.5
B
Z
a
3
3.08 0.2024
3
5.38 0.1485
21
12.5 18.5 30.65126425 24.43869882
21
12.5 19.34 31.16545523 24.43869882
21
12.5 23.04 33.58707489 24.43869882
21
12.5 30.04 38.72533538 24.43869882
21
12.5 33.80 41.70959122 24.43869882