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 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.