PROCEDURE FOR DETERMINING ROCK WEIGHTS SIZES AND GRADATIONS

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Some measurement precautions are necessary to obtain the best results from this procedure. They are as follows, 1 The graph in Figure 3 and formulas are for rock that has a specific gravity of 2 65 165. pounds per cubic foot Use this graph or formula unless the actual specific gravity Gsa is. known and varies more than 5 percent 0 13 from 2 65. To correct to the actual weight Wa use this formula. Wa W from Figure 3 2 65 x Gsa, 2 When measuring the major and minor perimeters do not measure sharp peaks protrusions. or valleys Move the tape slightly off the 90 angle or adjust the measurement to represent. the rock s general shape, 3 The approximate formula 0 335 P1 P2 3 Weight of rock W in pounds can be used To. obtain the equivalent d use this formula,d inches 2 4 x W. Use the following procedure for the perimeter measurement method. 1 Place the rock in its most probable at rest laying position. 2 Imagine two vertical cutting planes passing through the rock at nearly right angles to each. other Measure the two resulting perimeters in feet and add them together. 3 Enter the graph in Figure 3 at the measured P1 P2 and follow horizontally to the intersection. with the line labeled Weight of Rock W Follow down the chart and read the approximate. weight in pounds on the bottom scale, 4 To determine the equivalent d enter the graph at weight at the bottom of the chart.
Proceed vertically to the intersection of the line labeled Size of Rock d and move. horizontally to the right to read d, 5 To determine the weight of small rock and sand gravel determine the volume in cubic feet. and multiply by 100 pounds See Figure 4,Note The volume of a cone is V 3 14 b2h. Where V Volume in cubic feet,b Base in feet,h Height in feet. EFH Notice 210 WI 106, After the weight and d of each rock except small rock gravel are determined they need to be. accumulated into sizes that would be held on a particular screen size such as 1 5 D50 D50 etc. The weights of the rocks that have a d greater than the screen size are accumulated and. considered retained on the screen The cumulative percentage is subtracted from 100 percent to. obtain the percent passing See Examples 1 and 2, Comments on Example 1 are D50 6 inches Dmax 12 inches Note 3 rocks which have a d.
greater than 9 inches 1 5 x D50 weigh 244 pounds 106 80 58 8 rocks which have a d. greater than 6 inches D50 weigh 214 pounds 82 81 51 27 rocks which have a d greater. than 3 inches 0 5 x D50 weigh 123 pounds 60 35 28 52 rocks that have a d greater than. 1 inch 0 2 x D50 weigh 31 pounds Note the increase in number of rocks as the size decreases. Also note that the gradation is at the lower limit of the envelope for a D50 6 inches The. material 3 inches and smaller could be counted and the weight estimated The expected volume. of the total sample in cubic feet ft3 is,VOL 612 lbs 165 lbs ft3 x 0 7 5 3 ft3. To check rock in place the cumulative weight of the rocks larger than 9 inches must not exceed. 40 percent of the total weight the cumulative weight of the rocks larger than 6 inches must not. exceed 75 percent of the total weight etc, Comments on Example 2 D50 6 inches Dmax 12 inches Use the same method as in. Example 1 to calculate the gradation Note that this gradation is the upper limit of the gradation. for D50 6 inches The expected volume of the total sample in cubic feet ft3 is. VOL 1562 lbs 165 lbs ft3 x 0 7 13 5 ft3, Comments on both examples The number of rock and weight larger than 1 5 x D50 remained. equal to keep the sample size at a minimum Note that a 9 inch 10 inch and 11 inch rock. were used for the part of the sample larger than 1 5 x D50 Three rocks which have a d of 10 3. inches weigh approximately 240 pounds 20 rocks which have a d of 7 3 inches weigh. approximately 550 pounds etc to less than 0 2 x D50 These weights would meet the percent. passing criteria However this would be considered a poorly graded material because there. would be no sizes between 7 3 inches and 10 3 inches etc All sizes should be represented in the. total sample to have a proper gradation Variation in the size allows for better filling of voids. interlocking of the rock and stability of the rock structure Because the examples are near the. upper and lower limits of the gradation envelope the number of rock with equivalent dimensions. or weight could be piled as a sample in the quarry or on the construction site These sample. piles could be used for training personnel who are involved in construction inspection. Tables 1 through 5 have gradation guidelines for D50s of 4 inches through 12 inches The. smaller i e 1 and 2 inch diameters shown should be considered as weight of material rather. than number of rock The tables can be used to produce gradation sample piles showing the. upper and lower limits of the desired gradation These piles can be used in the rock quarry to. provide the contractor with a visual model of the rock gradation needed. EFH Notice 210 WI 106,D50 6 inches Dmax 12 inches,per Number Weight Percent. P1 P2 d Rock of Retained Percent Retained Percent Spec. feet inches pounds Rocks pounds Retained Subtotal Passing Limits. 12 0 0 0 0 0 100 100,6 8 11 4 106 1 106,6 2 10 3 80 1 80.
5 6 9 3 58 1 58 39 9 39 9,9 0 60 1 60 85,5 0 8 3 41 2 82. 4 3 7 3 27 3 81,3 7 6 2 17 3 51 35 74 8,6 0 25 2 25 50. 3 1 5 2 10 6 60,2 5 4 2 5 7 35,1 9 3 1 2 14 28 20 1 94 9. 3 0 5 1 5 20,1 21 2 0 6 52 31,1 0 0 4 9 100 0 0 0 5. Total Weight 612,calculated,EFH Notice 210 WI 106,D50 6 inches Dmax 12 inches.
per Number Weight Percent, P1 P2 d Rock of Retained Percent Retained Percent Spec. feet inches pounds Rocks pounds Retained Subtotal Passing Limits. 12 0 0 0 0 0 100 100,6 8 11 4 106 1 106,6 2 10 3 80 1 80. 5 6 9 3 58 1 58 15 6 15 6,9 0 84 4 60 85,5 0 8 3 41 3 123. 4 3 7 3 27 7 189,3 7 6 2 17 14 238 35 2 50 8,6 0 49 2 25 50. 3 1 5 2 10 19 190,2 5 4 2 5 30 150,1 9 3 1 2 64 128 30 80 8.
3 0 19 2 5 20,1 21 2 0 6 250 150,1 0 14 4 95 2 4 8 0 5. 1 75 4 8 100 0,Total Weight 1562,calculated,EFH Notice 210 WI 106. D50 4 inches Rock Gradation Envelope Limits,Weight per Number of Rocks and Weight. D Rock Lower Limit Upper Limit,inches pounds Number Weight Number Weight. 7 5 31 1 31 1 31,6 5 20 1 20 1 20,5 5 12 2 24 4 48.
4 5 7 3 21 10 70,3 5 3 5 15 18 54,2 5 1 1 10 11 44 48. Total Weight 129 338,Resulting Gradation, D Specification Lower Limit Percent Upper Limit Percent. inches Percent Passing Passing by Weight Passing by Weight. 8 100 100 100,6 60 85 60 5 84 9,4 25 50 25 6 50 0,2 5 20 5 4 19 8. 1 0 5 0 4 7,EFH Notice 210 WI 106,D50 6 inches Rock Gradation Envelope Limits. Weight per Number of Rocks and Weight,D Rock Lower Limit Upper Limit.
inches pounds Number Weight Number Weight,11 5 110 1 110 1 110. 10 5 84 1 84 1 84,9 5 62 1 62 1 62,8 5 44 2 88 4 176. 7 5 31 2 62 7 217,6 5 20 4 80 10 200,5 5 12 5 60 15 180. 4 5 7 6 42 25 175,3 5 3 9 27 50 150,2 5 1 1 17 19 150 165. Total Weight 648 1691,Resulting Gradation, D Specification Lower Limit Percent Upper Limit Percent.
inches Percent Passing Passing by Weight Passing by Weight. 12 100 100 100,9 60 85 60 5 84 9,6 25 50 25 0 49 8. 3 5 20 5 1 19 9,1 0 5 0 5 0,EFH Notice 210 WI 106,D50 8 inches Rock Gradation Envelope Limits. Weight per Number of Rocks and Weight,D Rock Lower Limit Upper Limit. inches pounds Number Weight Number Weight,15 5 269 1 269 1 269. 13 5 178 1 178 1 178,11 5 110 2 220 4 440,9 5 62 3 186 10 620.
7 5 31 4 124 16 496,5 5 12 9 108 33 396,3 5 3 19 57 147 441. Total Weight 1142 2987,Resulting Gradation, D Specification Lower Limit Percent Upper Limit Percent. inches Percent Passing Passing by Weight Passing by Weight. 16 100 100 100,12 60 85 60 8 85 0,8 25 50 25 3 49 5. 4 5 20 5 0 19 7,2 0 5 0 4 9,EFH Notice 210 WI 106,D50 10 inches Rock Gradation Envelope Limits. Weight per Number of Rocks and Weight,D Rock Lower Limit Upper Limit.
inches pounds Number Weight Number Weight,19 5 536 1 536 1 536. 17 5 388 1 388 1 388,15 5 269 1 269 1 269,13 5 178 3 534 7 1246. 11 5 110 5 550 14 1540,9 5 62 4 248 14 992,7 5 31 7 217 28 868. 5 5 13 12 144 44 528,3 5 3 51 153 398 1194,Total Weight 3039 7958. Resulting Gradation, D Specification Lower Limit Percent Upper Limit Percent.
inches Percent Passing Passing by Weight Passing by Weight. 20 100 100 100,15 60 85 60 7 85 0,10 25 50 25 1 50 0. 5 5 20 5 0 20 0,2 0 5 0 5 0,EFH Notice 210 WI 106,D50 12 inches Rock Gradation Envelope Limits. Weight per Number of Rocks and Weight,D Rock Lower Limit Upper Limit. inches pounds Number Weight Number Weight,23 5 939 1 939 1 939. 21 5 719 1 719 1 719,19 5 536 1 536 1 536,17 5 388 1 388 4 1552.
15 5 269 3 807 6 1614,13 5 178 4 712 11 1958,11 5 110 4 440 15 1650. 9 5 62 6 372 23 1426,7 5 31 10 310 42 1302,5 5 12 15 180 110 1320. 3 5 3 34 102 292 876,Total Weight 5505 14 623,Resulting Gradation. D Specification Lower Limit Percent Upper Limit Percent. inches Percent Passing Passing by Weight Passing by Weight. 24 100 100 100,18 60 85 60 1 85 0,12 25 50 25 5 50 0. 6 5 20 5 1 20 0,2 0 5 0 5 0,EFH Notice 210 WI 106,Volume ft3 3 14 x b2 x h.
b and h in feet,EFH Notice 210 WI 106,Equivalent rock size inches d. Figure 3 Rock weight vs p1 P2 and d,Approximate weight pounds W. Sum of parameters feet P1 P2,EFH Notice 210 WI 106. ROCK WEIGHT AND DIAM VS P1 P2,Specific Gravity 2 65. P1 Weight Diam Weight Diam Weight Diam Weight Diam Weight Diam Weight Diam Weight Diam Weight Diam Weight Diam Weight Diam. P2 0 0 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9, 2 2 7 3 3 3 1 3 5 3 6 3 7 4 1 3 8 4 6 4 0 5 2 4 2 5 9 4 3 6 6 4 5 7 4 4 7 8 2 4 8.
3 9 0 5 0 10 0 5 2 11 0 5 3 12 0 5 5 13 2 5 7 14 4 5 8 15 6 6 0 17 0 6 2 18 4 6 3 19 9 6 5. 4 21 4 6 7 23 1 6 8 24 8 7 0 26 6 7 2 28 5 7 3 30 5 7 5 32 6 7 7 34 8 7 8 37 0 8 0 39 4 8 2. 5 41 9 8 3 44 4 8 5 47 1 8 7 49 9 8 8 52 8 9 0 55 7 9 2 58 8 9 3 62 0 9 5 65 4 9 7 68 8 9 8. 6 72 4 10 0 76 0 10 2 79 8 10 3 83 8 10 5 87 8 10 7 92 0 10 8 96 3 11 0 100 8 11 2 105 3 11 3 110 0 11 5. 7 114 9 11 7 119 9 11 8 125 0 12 0 130 3 12 2 135 8 12 3 141 3 12 5 147 0 12 7 152 9 12 8 159 0 13 0 165 2 13 2. 8 171 5 13 3 178 0 13 5 184 7 13 7 191 5 13 8 198 6 14 0 205 7 14 2 213 1 14 3 220 6 14 5 228 3 14 7 236 2 14 8. 9 244 2 15 0 252 4 15 2 260 9 15 3 269 4 15 5 278 2 15 7 287 2 15 8 296 4 16 0 305 7 16 2 315 3 16 3 325 0 16 5. 10 335 0 16 7 345 2 16 8 355 5 17 0 366 1 17 2 376 8 17 3 387 8 17 5 399 0 17 7 410 4 17 8 422 0 18 0 433 8 18 2. 11 445 9 18 3 458 2 18 5 470 6 18 7 483 4 18 8 496 3 19 0 509 5 19 2 522 9 19 3 536 5 19 5 550 4 19 7 564 5 19 8. EFH Notice 210 WI 106, 12 578 9 20 0 593 5 20 2 608 3 20 3 623 4 20 5 638 7 20 7 654 3 20 8 670 1 21 0 686 2 21 2 702 5 21 3 719 1 21 5. 13 736 0 21 7 753 1 21 8 770 5 22 0 788 1 22 2 806 0 22 3 824 2 22 5 842 7 22 7 861 4 22 8 880 4 23 0 899 7 23 2. 14 919 2 23 3 939 1 23 5 959 2 23 7 979 6 23 8 1000 3 24 0 1021 3 24 2 1042 6 24 3 1064 1 24 5 1086 0 24 7 1108 2 24 8. Column Units Example,P1 P2 in feet P1 P2 5 6 feet,Weight in pounds Weight 58 8 pounds. Diam in inches Diam 9 3 inches,TABULATION SHEET FOR ROCK GRADATION. per Weight Subtotal, P2 d Rock Number Retained Percent Percent Percent Specification. ft inches pounds of Rock pounds Retained Retained Passing Limit. EFH Notice 210 WI 106, This page reserves pages 17 WI 45 through 17 WI 50 for future supplements.
PROCEDURE FOR DETERMINING ROCK WEIGHTS SIZES AND GRADATIONS Note The gradation required for rock lined chutes is determined differently See Chapter 6 of the Engineering Field Handbook EFH for details Rock gradations are required for several conservation practices in Wisconsin Gradations are usually determined by finding the percent of material by weight that is smaller than a certain

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