Preparation of Tank Capacity Tables
Capacity tables should be set out to show litres at intervals of 5 cm in dip with proportional part tables for intermediate dips in millimetres.
Computation of Capacities
Open capacity in litres per centimetres = (C2 X 10) / 4Π = 0.795778 X C2.
When the tank is tilted by an angle Ø,
the open capacity in litre per cm = 0.795778 X C2 X sec Ø
(C = internal circumference of the tank in metres and Π = 3.14158
Calculating Internal Circumference
Internal Circumference of a tank may be calculated by measuring internal diameters at different heights or by obtaining the external circumference by strapping method and applying following corrections:
1. Temperature correction
The measuring tape is calibrated at 20°C but the reference temperature for tank calibration is 15° C. So, the external circumference in metre will have to be multiplied by correction factor of 0.99991
2. Step-over correction
- By choosing tape courses to avoid obstructions, step-overs can be avoided to a great extent.
- Step-over correction is necessary for all vertical seams.
- Step-over less than 2 mm need not to be included.
3. Shell Plate Thickness Correction
the correction will be deduction of 2Π X d where d is the thickness of shell-plate.
4. Correction for Liquid Head and Temperature
Theses effects are eliminated by strapping the tank when it is filled not less than 2/3 rd capacity with the product or water.
Open Capacity Calculation
Table 3/5
This table has been divided into four parts for the sake of space and clarity. Practically, there should be a combined table to include all data in a single sheet.
It is also to be noted carefully that circumference measurement is always in metre and height measurements in cm.
Part I:
| Course |
Height |
Effective Height (Cumulative) |
Tape Path |
External Circumference
|
Mean External Circumference |
| 1 |
2 in cm |
3 in cm |
4 |
5 in metre |
6 in meter |
1st Bottom Course |
150.0 |
133.6* |
Top |
47.121 |
47.1185 |
| Bottom |
47.116 |
2nd Bottom Course |
150.0 |
283.6 |
Top |
47.114 |
47.1145 |
| Bottom |
47.115 |
| ---------- |
------- |
------- |
Top |
------ |
------- |
| Bottom |
------- |
8th Bottom Course |
150.0 |
1184.4 |
Top |
47.150 |
47.1510 |
| Bottom |
47.152 |
9th Bottom Course |
148.5 |
1332.9 |
Top |
47.124 |
47.1285 |
| Bottom |
47.133 |
* Height of datum plate 16.4 cm
Part II:
Mean External Circumference |
Mean External Circumference after temp. correction |
No of Vertical welds |
Step-over correction for welds |
Net correction |
Net External Circumference |
| 6 in meter |
7=(6 X 0.99991) |
8 |
9 in mm |
10 in metre |
11 |
| 47.1185 |
47.1142 |
8 |
1 |
0.008 |
47.1062 |
| 47.1145 |
47.1102 |
8 |
1 |
0.008 |
47.1022 |
| ---------- |
---------- |
---------- |
---------- |
---------- |
------ |
| 47.1510 |
47.1467 |
8 |
1 |
0.008 |
47.1387 |
| 47.1285 |
47.1242 |
8 |
1 |
0.008 |
47.1162 |
Part III:
Net External Circumference |
Shell/Plate thickness |
Correction for shell/Plate thickness t |
External Circumference
|
Open Capacity in litre/cm |
| 11 |
12 in mm |
13 in metre (2 X 3.1416 X t) |
14 = (11 - 13) in metre |
15 in litre/cme |
| 47.1062 |
12 |
0.0754 |
47.0308 |
1760.125 |
| 47.1022 |
10 |
0.0628 |
47.0394 |
1760.769 |
| ---------- |
---------- |
---------- |
---------- |
---------- |
| 47.1387 |
6 |
0.0377 |
47.1010 |
1765.383 |
| 47.1162 |
6 |
0.0377 |
47.0785 |
1763.697 |
Part IV:
Bottom Calibration at 0.00 cm: 28230 litre
Total Capacity Calculation
Table 4/5
| Course |
Dead-wood effected range of height in cm |
Calculated Capacity in l/cm |
Dead-wood Correction in l/cm |
Corrected Capacity in l/cm |
Actual Height in cm |
Total Capacity in Litres |
| Bottom Calibration at |
0.0 |
28,230 |
| 1st |
0.0 to 23.7 |
1760.125* |
|
1760.125 |
23.7 |
69,944.9625** |
| 23.7 - 92.7 |
1760.125 |
+ 2.476 |
1762.601 |
69.0 |
191,564.4315*** |
| 92.7 - 133.6 |
1760.125 |
|
1760.125 |
40.9 |
263,553.544 |
| 2nd |
133.6 -283.6 |
1760.769 |
|
1760.769 |
150 |
527,668.894 |
| ... |
... |
... |
... |
... |
... |
... |
| 8th |
1034.4-1184.4 |
1765.383 |
|
1765.383 |
150 |
2116,108.8118 |
| 9th |
1184.4-1332.9 |
1763.697 |
|
1763.697 |
148.5 |
2378,017.8163 |
Hints:
* from Table 3/5 col 15
** 1760.125 X 23.7 + 28,230
*** 1762.601 X 69.0 + 69,944.962
Dip Height - Capacity Relationship Table
(with Part Tables for intermediate ranges)
Table 5/5
- Main table shows the capacity at 5 cm interval.
- Part table shows intermediate readings between 0.1 to 5 cm.
- Readings are correspondent to respective course height measurement. Always refer to value of corrected capacity for a particular course height from Table 4/5.
| Main Table |
Part Table (in nearest rounded litre) |
| Dip in cm |
Litre |
| 0.0 |
28230 |
| 5 * |
37031 |
| 10 |
45831 |
| 15 |
54632 |
| 20 |
63433 |
| -- |
-- |
| 65 |
142740 |
| 70 |
151553 |
| 75 |
160366 |
| 80 |
169179 |
| -- |
-- |
| 115 |
230815 |
| 120 |
239616 |
| 125 |
248416 |
| 130 |
257217 |
|
| Dip in cm |
0.0-23.7 cm |
23.7-92.7 cm |
92.8-133.6 cm |
| 0.1 |
176 |
176 |
176 |
| 0.2 |
352 |
353 |
352 |
| 0.3 |
528 |
529 |
528 |
| 0.4 |
704 |
705 |
704 |
| 0.5 |
880 |
881 ** |
880 |
| 0.6 |
1056 |
1058 |
1056 |
| 0.7 |
1232 |
1234 |
1232 |
| 0.8 |
1408 |
1410 |
1408 |
| 0.9 |
1584 |
1586 |
1584 |
| 1 |
1760 |
1763 |
1760 |
| 2 |
3520 |
3525 |
3520 |
| 3 |
5280 |
5288 |
5280 |
| 4 |
7041 |
7050 |
7041 |
| 5 |
8801 |
8813 |
8801 |
|
* 1760.125 X 5 +28230 = 37 030.625 = 37 031 litres
** 1762.601 X 0.5 = 881.3005 = 881 litre
The tables should continue cover all heights up to 1332.9 cm
Part Tables will cover intermediate heights of each course height ( as per Table 4/5).
For example, 133.7 to 283.6 cm (second course), 283.7 to 433.6 cm (third course), 1034.4 to 1184.4 cm for the 8th course, etc.
/div>
Calculation of Capacity from Table 5/5
Let the dip reading be 127.7 cm.
Now 125 + 2 + 07 = 248416 + 3520 + 1232 = 253,168 Litres.
Note that readings for 2 cm and 07. cm will be taken from column 4 of the Part Table, as the dip height falls within the range of 92.8 to 133.6 cm.