Sunday, July 18, 2010

Investment Flask Facts

The wax (art piece + sprue system + pour cup) determines the size of the investment flask. Since the flask is a cylinder (technically a right circular cylinder), the total volume is determined using the height (H) and diameter (D) or radius (R) (D = 2 * R) in the equation Volume = pi * R^2 * H = pi * (D/2)^2 * H, where pi = 3.14159265... is half the circumference of a circle with radius 1.

Here are some simple rules relating the height (h) and diameter (d) of the wax and the flask height (H) and diameter (D):
  1. Because the flask will have a 2-3 inch cap to seal the bottom before filling, H = h + 2. Large flasks (diameter > 20 inches may need larger caps depending on the shape of the wax).
  2. 2 inches between the widest points on the wax and the flask wall are ideal, so D = d + 4.
The flask's total volume (measured in cubic inches or in^3) is given in the first row of each cell in the table below.

Since the flask is filled using 5 US gallon buckets of wet investment material, in order to estimate the number of buckets needed to fill a flask, one needs to divide the total volume by 231, the number of cubic inches in 5 US gallons. The second row of each cell in the table below gives these values. Note that these are full buckets and it will take more "partially filled" buckets, so treat these values as lower bounds (minimum).

Finally, the third row of each cell provides estimates of the flask's total wet weight. These are based on the weights of water, sand, and plaster mixed in the proportions of 1/3, 4/9, and 2/9 (resp.). For a 5 US gallon bucket these weights are roughly 14, 22.3, and 7.9 lbs (resp), putting a 5 US gallon bucket of investment at 52 lbs. Note that actual full buckets have been weighed and come very close to this value.

Diameter and Height combinations shaded in green are "doable" with a few assistants to move the finished flask. Those in red are "challenging", and white is "beyond reason".












































































































































































































































Volume (in^3)
# Buckets
Weight (lbs)
Flask Height (inches)
1012141618202224262830323436
Flask Diameter (inches)10785
0.6
35
942
0.8
42
1099
0.9
49
1256
1
56
1413
1.2
63
1570
1.3
70
1727
1.4
77
1884
1.6
84
2041
1.7
91
2199
1.9
99
2356
2
106
2513
2.1
113
2670
2.3
120
2827
2.4
127
121130
0.9
50
1357
1.1
61
1583
1.30
71
1809
1.5
81
2035
1.7
91
2261
1.9
101
2488
2.1
112
2714
2.3
122
2940
2.5
132
3166
2.7
142
3392
2.9
152
3619
3.1
162
3845
3.3
173
4071
3.5
183
141539
1.3
69
1847
1.5
83
2155
1.8
97
2462
2.1
110
2770
2.3
124
3078
2.6
138
3386
2.9
152
3694
3.1
166
4002
3.4
180
4310
3.7
194
4618
3.9
207
4925
4.2
221
5233
4.5
235
5541
4.7
249
162010
1.7
90
2412
2
108
2814
2.4
126
3216
2.7
144
3619
3.1
162
4021
3.4
181
4423
3.8
199
4825
4.1
217
5227
4.5
235
5629
4.8
253
6031
5.2
271
6433
5.5
289
6835
5.9
307
7238
6.2
325
182544
2.2
114
3053
2.6
137
3562
3
160
4071
3.5
183
4580
3.9
206
5089
4.4
229
5598
4.8
252
6107
5.2
274
6616
5.7
297
7124
6.1
320
7633
6.6
343
8142
7
366
8651
7.4
389
9160
7.9
412
203141
2.7
141
3769
3.2
169
4398
3.8
198
5026
4.3
226
5654
4.8
254
6283
5.4
282
6911
5.9
311
7539
6.5
339
8167
7
367
8796
7.6
396
9424
8.1
424
10052
8.7
452
10681
9.2
480
11309
9.7
509
223801
3.2
171
4561
3.9
205
5321
4.6
239
6081
5.2
273
6842
5.9
308
7602
6.5
342
8362
7.2
376
9122
7.8
410
9883
8.5
444
10643
9.2
479
11403
9.8
513
12163
10.5
547
12924
11.1
581
13684
11.8
616
244523
3.9
203
5428
4.7
244
6333
5.4
285
7238
6.2
325
8142
7
366
9047
7.8
407
9952
8.6
448
10857
9.4
488
11761
10.1
529
12666
10.9
570
13571
11.7
611
14476
12.5
651
15380
13.3
692
16285
14.1
733
265309
4.5
239
6370
5.5
286
7432
6.4
334
8494
7.3
382
9556
8.2
430
10618
9.1
478
11680
10.1
525
12741
11
573
13803
11.9
621
14865
12.8
669
15927
13.7
717
16989
14.7
764
18051
15.6
812
19112
16.5
860
286157
5.3
277
7388
6.3
332
8620
7.4
388
9851
8.5
443
11083
9.5
498
12314
10.6
554
13546
11.7
609
14777
12.7
665
16009
13.8
720
17240
14.9
776
18472
15.9
831
19703
17
887
20935
18.1
942
22166
19.1
997
307068
6.1
318
8482
7.3
381
9895
8.5
445
11309
9.7
509
12723
11
572
14136
12.2
636
15550
13.4
700
16964
14.6
763
18377
15.9
827
19791
17.1
891
21205
18.3
954
22618
19.5
1018
24032
20.8
1081
25446
22
1145
328042
6.9
362
9650
8.3
434
11259
9.7
506
12867
11.1
579
14476
12.5
651
16084
13.9
724
17693
15.3
796
19301
16.7
868
20909
18.1
941
22518
19.4
1013
24126
20.8
1086
25735
22.2
1158
27343
23.6
1231
28952
25
1303

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