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Log Scaling On Android Allegro 3

Nova Scotia Log Rule (FBM)

Nova Scotia uses the New Brunswick table for FBM log scaling.
There is one caveat in scaling long logs: Logs longer than 18 feet shall be scaled in two or more lengths. These long logs should be scaled in approximately equal lengths. If the log is an unequal number of feet in length, the “extra foot” should be included on the butt long, unless defects on the log would make it practical to do otherwise.

For Cubic meters measurement, Nove Scotia has three options:

1. Volume table or formula - The volume, in m3 to three places of decimal, may be determined from the table contained below. This table is constructed with the following formula which assumes a taper of 1 cm for each 0.75 m of length. As stated in the Nova Scotia Manual, the formula is:

Volume = Length x (π /40000) x (SmDiam + ((0.5 * Length)/0.75)2
SmDiam = small end diameter.

We can change this equation around to be: Volume = Length x (π /10000) x (R + (4/3) * (Length/2))2
R = SmDiam / 2

This formula "approximates" the mid-point diameter by taking the small-end diameter and then adjusting it for taper.
The taper factor is 4 cm per 3 meters. This is the same as 1.57 inches per 9.84 feet, or 1.6 inches per 10 feet.
This formula was originated by Sorenson and is known as Sorenson's Rule. It was invented in California in 1945.
This rule is quite similar to the Huber rule (see below), except that instead of requiring diameter measurements at it each end of the log to estimate the mid-diameter, it only requires one (at the small end) and then adjusts that measurement to reflect an estimated taper.
Diameter is measured in centimeters. Length is measured in meters.

2. Smalian’s Formula - Log volume may be determined by Smalian’s Formula. This method where applied to logs, is as follows: the volume of a log equals the area of the small end plus the area of the large end, then divided by two and multiplied by the length, where the area at each end is expressed in square metres.

Volume = (((π x R02) + (π x R12)) / 2) x Length

R0 = Small End Diameter divided by two (2). R1 = Large Diameter divided by two (2).
Diameter must be measured in meters or in centimeters. If centimeters, the result needs to be converted to cublic meters by dividing by 10,000. Length is measured in meters.

3.Huber’s Formula - Log volume may be determined by Huber’s Formula. This method where applied to logs, is as follows: The volume of a log equals the area at mid length multiplied by the length, where the area at mid length is expressed in square metres.

Volume = π x R2 x Length

R = Midpoint Diameter divided by two (2). Diameter must be measured in meters or in centimeters, If centimeters, the result needs to be converted to cublic meters by dividing by 10,000. Length is measured in meters.

Below is the Table for Rule #1 (the Sorenson Rule).
Diameter is measured in Centimeters. Length is measured in Decimeters. Volume is in Decimeters. Decimeters are used to avoid scalers having to enter decimal points..

Diam/Len 18 19 20 21 22 23 24 25 26 27 28 29 30
8 12 13 14 15 15 16 17 18 19 20 21 22 24
9 15 16 17 18 19 20 21 22 24 25 26 27 29
10 18 19 20 21 23 24 25 27 28 30 31 32 34
11 21 22 24 25 27 28 30 32 33 35 36 38 40
12 25 26 28 30 31 33 35 37 39 40 42 44 46
13 29 30 32 34 36 38 40 42 44 46 49 51 53
14 33 35 37 39 41 44 46 48 51 53 55 58 60
15 37 39 42 44 47 49 52 55 57 60 63 65 68
16 42 44 47 50 53 56 58 61 64 67 70 73 76
17 47 50 53 56 59 62 65 68 72 75 78 82 85
18 52 55 59 62 65 69 72 76 80 83 87 90 94
19 58 61 65 69 72 76 80 84 88 92 96 100 104
20 64 67 71 76 80 84 88 92 96 101 105 110 114
21 70 74 78 83 87 92 96 101 106 110 115 120 125
22 76 81 86 90 95 100 105 110 115 120 125 130 136
23 83 88 93 98 103 109 114 119 125 130 136 142 147
24 90 95 101 106 112 118 124 129 135 141 147 153 159
25 97 103 109 115 121 127 133 140 146 152 159 165 172
26 105 111 117 124 130 137 144 150 157 164 171 178 185
27 112 119 126 133 140 147 154 161 169 176 183 191 198
28 121 128 135 143 150 158 165 173 181 188 196 204 212
29 129 137 145 152 160 168 176 185 193 201 210 218 226
30 138 146 154 163 171 180 188 197 206 214 223 232 241
31 147 155 164 173 182 191 200 210 219 228 238 247 257
32 156 165 175 184 194 203 213 223 232 242 252 262 272
33 165 175 185 195 205 215 226 236 246 257 267 278 289
34 175 186 196 207 217 228 239 250 261 272 283 294 305
35 185 196 207 219 230 241 253 264 276 287 299 311 323
36 196 207 219 231 243 254 266 279 291 303 315 328 340
37 206 219 231 243 256 268 281 294 306 319 332 345 358
38 217 230 243 256 269 282 296 309 322 336 350 363 377
39 228 242 256 269 283 297 311 325 339 353 367 382 396
40 240 254 268 283 297 312 326 341 356 371 385 401 416
41 252 267 282 297 312 327 342 357 373 388 404 420 436
42 264 279 295 311 326 342 358 374 391 407 423 440 456
43 276 292 309 325 342 358 375 392 409 426 443 460 477
44 289 306 323 340 357 375 392 409 427 445 463 481 499
45 302 319 337 355 373 391 409 428 446 464 483 502 520
46 315 333 352 371 389 408 427 446 465 485 504 523 543
47 328 348 367 386 406 425 445 465 485 505 525 545 566
48 342 362 382 402 423 443 464 484 505 526 547 568 589
49 356 377 398 419 440 461 483 504 526 547 569 591 613
50 371 392 414 436 458 480 502 524 547 569 592 614 637
51 385 408 430 453 476 499 522 545 568 591 615 638 662
52 400 423 447 470 494 518 542 566 590 614 638 663 687
53 415 439 464 488 513 537 562 587 612 637 662 687 713
54 431 456 481 506 532 557 583 608 634 660 686 713 739
55 447 472 498 525 551 577 604 631 657 684 711 738 766
56 463 489 516 543 571 598 625 653 681 708 736 764 793
57 479 507 535 563 591 619 647 676 704 733 762 791 820
58 495 524 553 582 611 640 670 699 729 758 788 818 848
59 512 542 572 602 632 662 692 723 753 784 815 846 877
60 529 560 591 622 653 684 715 747 778 810 842 874 906
61 547 579 610 642 674 706 739 771 804 836 869 902 935
62 565 597 630 663 696 729 762 796 829 863 897 931 965
63 583 616 650 684 718 752 787 821 856 890 925 960 995
64 601 636 670 705 741 776 811 847 882 918 954 990 1026
65 620 655 691 727 763 800 836 873 909 946 983 1020 1058
66 638 675 712 749 786 824 861 899 937 975 1013 1051 1090
67 658 695 733 772 810 848 887 926 965 1004 1043 1082 1122
68 677 716 755 794 834 873 913 953 993 1033 1073 1114 1155
69 697 737 777 817 858 899 940 981 1022 1063 1104 1146 1188
70 717 758 799 841 883 924 966 1008 1051 1093 1136 1179 1221
71 737 779 822 865 907 950 994 1037 1080 1124 1168 1212 1256
72 758 801 845 889 933 977 1021 1066 1110 1155 1200 1245 1290
73 778 823 868 913 958 1004 1049 1095 1140 1186 1233 1279 1325
74 799 845 891 938 984 1031 1077 1124 1171 1218 1266 1313 1361
75 821 868 915 963 1010 1058 1106 1154 1202 1251 1299 1348 1397
76 843 891 939 988 1037 1086 1135 1184 1234 1284 1333 1383 1434
77 865 914 964 1014 1064 1114 1165 1215 1266 1317 1368 1419 1471
78 887 938 989 1040 1091 1143 1194 1246 1298 1350 1403 1455 1508
79 909 961 1014 1066 1119 1172 1225 1278 1331 1384 1438 1492 1546
80 932 986 1039 1093 1147 1201 1255 1310 1364 1419 1474 1529 1584


Diam/Len 31 32 33 34 35 36 37 38 39 40 41 42 43
8 25 26 27 28 29 31 32 33 34 36 37 38 40
9 30 31 33 34 35 37 38 40 41 43 44 46 48
10 35 37 39 40 42 43 45 47 49 50 52 54 56
11 42 43 45 47 49 51 53 55 57 59 61 63 65
12 48 50 52 54 56 59 61 63 65 68 70 72 75
13 55 58 60 62 65 67 70 72 75 77 80 82 85
14 63 65 68 71 73 76 79 82 84 87 90 93 96
15 71 74 77 80 83 86 89 92 95 98 101 105 108
16 79 83 86 89 92 96 99 103 106 109 113 117 120
17 89 92 96 99 103 106 110 114 118 122 125 129 133
18 98 102 106 110 114 118 122 126 130 134 138 143 147
19 108 112 116 121 125 129 134 138 143 147 152 157 161
20 119 123 128 132 137 142 147 152 156 161 166 171 177
21 130 134 140 145 150 155 160 165 171 176 181 187 192
22 141 146 152 157 163 168 174 180 185 191 197 203 209
23 153 159 165 170 176 182 188 195 201 207 213 220 226
24 165 172 178 184 191 197 204 210 217 223 230 237 244
25 178 185 192 199 205 212 219 226 233 240 248 255 262
26 192 199 206 213 221 228 235 243 251 258 266 274 281
27 206 213 221 229 237 244 252 260 268 276 285 293 301
28 220 228 236 245 253 261 270 278 287 295 304 313 322
29 235 244 252 261 270 279 288 297 306 315 324 334 343
30 250 260 269 278 287 297 306 316 326 335 345 355 365
31 266 276 286 296 305 315 325 336 346 356 366 377 387
32 283 293 303 314 324 335 345 356 367 378 388 399 411
33 299 310 321 332 343 354 366 377 388 400 411 423 434
34 317 328 340 351 363 375 386 398 410 422 435 447 459
35 335 347 359 371 383 395 408 420 433 446 458 471 484
36 353 365 378 391 404 417 430 443 456 470 483 497 510
37 372 385 398 412 425 439 453 466 480 494 508 523 537
38 391 405 419 433 447 461 476 490 505 520 534 549 564
39 411 425 440 455 470 485 500 515 530 545 561 576 592
40 431 446 462 477 493 508 524 540 556 572 588 604 621
41 452 468 484 500 516 533 549 566 582 599 616 633 650
42 473 490 506 523 540 557 575 592 609 627 644 662 680
43 494 512 530 547 565 583 601 619 637 655 674 692 710
44 517 535 553 572 590 609 627 646 665 684 703 722 742
45 539 558 577 597 616 635 655 674 694 714 734 754 774
46 563 582 602 622 642 662 683 703 723 744 765 786 806
47 586 607 627 648 669 690 711 732 754 775 796 818 840
48 610 632 653 675 696 718 740 762 784 806 829 851 874
49 635 657 679 702 724 747 770 793 816 839 862 885 909
50 660 683 706 729 753 776 800 824 847 871 895 920 944
51 686 710 734 758 782 806 831 855 880 905 930 955 980
52 712 736 761 786 812 837 862 888 913 939 965 991 1017
53 738 764 790 816 842 868 894 920 947 974 1000 1027 1054
54 765 792 819 845 872 899 927 954 981 1009 1036 1064 1092
55 793 820 848 876 904 932 960 988 1016 1045 1073 1102 1131
56 821 849 878 907 935 964 993 1023 1052 1081 1111 1140 1170
57 849 879 908 938 968 998 1028 1058 1088 1118 1149 1180 1210
58 878 909 939 970 1001 1031 1062 1094 1125 1156 1188 1219 1251
59 908 939 971 1002 1034 1066 1098 1130 1162 1195 1227 1260 1293
60 938 970 1003 1035 1068 1101 1134 1167 1200 1234 1267 1301 1335
61 968 1002 1035 1069 1103 1137 1171 1205 1239 1273 1308 1343 1378
62 999 1034 1068 1103 1138 1173 1208 1243 1278 1314 1349 1385 1421
63 1031 1066 1102 1138 1173 1209 1245 1282 1318 1355 1391 1428 1465
64 1063 1099 1136 1173 1210 1247 1284 1321 1359 1396 1434 1472 1510
65 1095 1133 1170 1208 1246 1284 1323 1361 1400 1438 1477 1516 1556
66 1128 1167 1206 1244 1284 1323 1362 1402 1441 1481 1521 1561 1602
67 1161 1201 1241 1281 1321 1362 1402 1443 1484 1525 1566 1607 1649
68 1195 1236 1277 1318 1360 1401 1443 1485 1527 1569 1611 1654 1696
69 1230 1272 1314 1356 1399 1441 1484 1527 1570 1614 1657 1701 1744
70 1265 1308 1351 1395 1438 1482 1526 1570 1614 1659 1703 1748 1793
71 1300 1344 1389 1433 1478 1523 1568 1614 1659 1705 1751 1797 1843
72 1336 1381 1427 1473 1519 1565 1611 1658 1705 1751 1798 1846 1893
73 1372 1419 1466 1513 1560 1607 1655 1703 1751 1799 1847 1895 1944
74 1409 1457 1505 1553 1602 1650 1699 1748 1797 1847 1896 1946 1995
75 1446 1495 1545 1594 1644 1694 1744 1794 1844 1895 1946 1997 2048
76 1484 1534 1585 1636 1687 1738 1789 1841 1892 1944 1996 2048 2101
77 1522 1574 1626 1678 1730 1783 1835 1888 1941 1994 2047 2101 2154
78 1561 1614 1667 1720 1774 1828 1882 1936 1990 2044 2099 2154 2209
79 1600 1654 1709 1764 1818 1873 1929 1984 2040 2095 2151 2207 2263
80 1640 1695 1751 1807 1863 1920 1976 2033 2090 2147 2204 2262 2319


Diam/Len 44 45 46 47 48 49 50 51 52 53 54 55 56
8 41 43 44 46 47 49 50 52 54 55 57 59 61
9 49 51 53 54 56 58 60 62 63 65 67 69 71
10 58 60 62 64 66 68 70 72 74 76 78 81 83
11 67 69 71 74 76 78 81 83 85 88 90 93 95
12 77 80 82 85 87 90 92 95 98 100 103 106 109
13 88 90 93 96 99 102 105 108 111 114 117 120 123
14 99 102 105 108 112 115 118 121 125 128 131 135 138
15 111 115 118 121 125 128 132 136 139 143 147 151 154
16 124 128 131 135 139 143 147 151 155 159 163 167 171
17 137 141 145 150 154 158 162 167 171 176 180 184 189
18 151 156 160 165 169 174 179 183 188 193 198 203 208
19 166 171 176 181 186 191 196 201 206 211 217 222 227
20 182 187 192 198 203 208 214 219 225 231 236 242 248
21 198 204 209 215 221 227 233 238 244 251 257 263 269
22 215 221 227 233 239 246 252 258 265 271 278 285 291
23 232 239 245 252 259 266 272 279 286 293 300 307 314
24 251 258 265 272 279 286 293 301 308 316 323 331 338
25 270 277 285 292 300 307 315 323 331 339 347 355 363
26 289 297 305 313 321 330 338 346 355 363 372 380 389
27 310 318 327 335 344 353 361 370 379 388 397 406 415
28 331 340 349 358 367 376 386 395 404 414 424 433 443
29 352 362 371 381 391 401 411 420 430 441 451 461 471
30 375 385 395 405 416 426 436 447 457 468 479 490 500
31 398 409 419 430 441 452 463 474 485 496 508 519 531
32 422 433 444 456 467 479 490 502 514 526 538 550 562
33 446 458 470 482 494 506 518 531 543 556 568 581 593
34 471 484 496 509 522 534 547 560 573 586 600 613 626
35 497 510 524 537 550 564 577 591 604 618 632 646 660
36 524 538 551 565 579 593 608 622 636 651 665 680 694
37 551 565 580 595 609 624 639 654 669 684 699 714 730
38 579 594 609 625 640 655 671 687 702 718 734 750 766
39 608 623 639 655 671 688 704 720 737 753 770 786 803
40 637 653 670 687 704 720 737 754 772 789 806 824 841
41 667 684 702 719 737 754 772 790 808 826 844 862 880
42 698 716 734 752 770 789 807 826 844 863 882 901 920
43 729 748 767 786 805 824 843 862 882 901 921 941 961
44 761 781 800 820 840 860 880 900 920 941 961 981 1002
45 794 814 835 855 876 897 917 938 959 980 1002 1023 1045
46 827 849 870 891 913 934 956 977 999 1021 1043 1066 1088
47 862 884 906 928 950 972 995 1017 1040 1063 1086 1109 1132
48 896 919 942 965 988 1011 1035 1058 1082 1105 1129 1153 1177
49 932 956 979 1003 1027 1051 1076 1100 1124 1149 1173 1198 1223
50 968 993 1017 1042 1067 1092 1117 1142 1168 1193 1218 1244 1270
51 1005 1031 1056 1082 1107 1133 1159 1185 1212 1238 1264 1291 1318
52 1043 1069 1096 1122 1149 1175 1202 1229 1256 1284 1311 1339 1366
53 1081 1108 1136 1163 1191 1218 1246 1274 1302 1330 1359 1387 1416
54 1120 1148 1177 1205 1233 1262 1291 1320 1349 1378 1407 1436 1466
55 1160 1189 1218 1247 1277 1307 1336 1366 1396 1426 1456 1487 1517
56 1200 1230 1260 1291 1321 1352 1382 1413 1444 1475 1507 1538 1569
57 1241 1272 1304 1335 1366 1398 1429 1461 1493 1525 1558 1590 1622
58 1283 1315 1347 1380 1412 1445 1477 1510 1543 1576 1609 1643 1676
59 1326 1359 1392 1425 1459 1492 1526 1560 1594 1628 1662 1696 1731
60 1369 1403 1437 1471 1506 1540 1575 1610 1645 1680 1716 1751 1787
61 1413 1448 1483 1518 1554 1589 1625 1661 1697 1734 1770 1806 1843
62 1457 1493 1530 1566 1603 1639 1676 1713 1750 1788 1825 1863 1900
63 1502 1540 1577 1614 1652 1690 1728 1766 1804 1843 1881 1920 1959
64 1548 1587 1625 1664 1702 1741 1780 1820 1859 1898 1938 1978 2018
65 1595 1634 1674 1714 1753 1794 1834 1874 1914 1955 1996 2037 2078
66 1642 1683 1723 1764 1805 1846 1888 1929 1971 2013 2054 2097 2139
67 1690 1732 1774 1816 1858 1900 1943 1985 2028 2071 2114 2157 2201
68 1739 1782 1825 1868 1911 1955 1998 2042 2086 2130 2174 2219 2263
69 1788 1832 1876 1921 1965 2010 2055 2100 2145 2190 2235 2281 2327
70 1838 1883 1929 1974 2020 2066 2112 2158 2204 2251 2297 2344 2391
71 1889 1935 1982 2029 2076 2123 2170 2217 2265 2312 2360 2408 2456
72 1940 1988 2036 2084 2132 2180 2229 2277 2326 2375 2424 2473 2523
73 1993 2041 2090 2140 2189 2238 2288 2338 2388 2438 2489 2539 2590
74 2045 2095 2146 2196 2247 2298 2349 2400 2451 2502 2554 2606 2658
75 2099 2150 2202 2254 2305 2357 2410 2462 2515 2567 2620 2673 2726
76 2153 2206 2259 2312 2365 2418 2472 2525 2579 2633 2687 2742 2796
77 2208 2262 2316 2370 2425 2479 2534 2589 2644 2700 2755 2811 2867
78 2264 2319 2374 2430 2486 2542 2598 2654 2711 2767 2824 2881 2938
79 2320 2376 2433 2490 2547 2605 2662 2720 2777 2835 2894 2952 3011
80 2377 2435 2493 2551 2610 2668 2727 2786 2845 2905 2964 3024 3084



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