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Application Note # C38

CM5/52/9 -- Bar sizes and Bar-sizing

Bar Sizes

Metric sizes

The "standard" bar sizes in regular use are the diameters:
5, 6, 8, 10, 12, 16, 20, 25, 32, 40 & 50mm
(of which the smallest and largest sizes are uncommon).
These values correspond to a logarithmic "E10" series (with ten values per decade), where each size is approximately 26% larger than the previous (on average; the actual individual increases vary from +20% to +33%), or 21% smaller than the next.

These are what we refer to as "Whole Sizes".

Other sizes also found in practice include the diameters 14, 18, 22 &28mm:
these are the "in between" values from an "E20" series (with twenty values per decade), which contains all the whole-sizes above, and which would also include the diameters 7, 9, 11, 36 & 44mm, although they are rarely (if ever) found in practice.
The increase between adjacent half-sizes varies between +10% and +16%, with an average of about +12% (or an 11% decrease from the next in the list).

These are what we refer to as "Half Sizes".

The CoverMaster® CM52 cover meter supports the eleven bar diameters of:
5, 6, 7, 8, 10, 12, 16, 20, 25, 32 & 40 mm (the "whole" sizes, plus ø7 as found in mesh fabric).

The CoverMaster® CM9 cover meter supports twenty-one bar diameters:
5, 5½, 6, 7, 8, 9, 10, 11, 12, 14, 16, 18, 20, 22, 25, 28, 32, 36, 40, 44 &50mm
(the full E20 sequence of "half" sizes).

Inch sizes

The US (pre-metric) system uses a linear sequence of bar numbers, where the "number" gives the bar diameter in eighths of an inch. As a result, the ratio between adjacent bar sizes is not constant, but varies from +50% (from #2 to #3) down to +7% (from #14 to #15). This makes it inappropriate to quote the accuracy of bar-sizing in the form of "±xx%" or "± one bar size".

The CoverMaster® CM42 cover meter supports the eleven bar diameters of:
#2, #3, #4, #5, #6, #7, #8, #9, #10, #11 & #14.

The CoverMaster® CM9 cover meter has sufficient metric diameters supported that there will always be a size available that is within ±1mm of the "soft metric" conversions of these inch-related sizes.

Tables comparing inch and metric conversions of bar diameters are given at the end of this Application Note.


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Bar-sizing methods

Two methods are available, referred to as "Spacer ratio" and "Orthogonal".
For an introduction to these, please refer to the relevant Application Notes;
or for a more thorough explanation, please refer to the relevant Papers.
Both of these methods are used in the CM9.

Spacer Ratio

This is described in the User Manual for the CM52 and summarised in CM5 Application Notes #2 and #22, and full details given in Paper P93 (NDT93) "An improved method for measuring reinforcing bars of unknown diameter in concrete using a cover meter" (Abstract available).

This is a two-stage procedure:

In stage one, two measurements are taken, and a ratio calculated.
A graph is used to convert the value of that ratio into a distance, which is the distance from the surface of the concrete to the centre of the bar.
The "line" on the graph is broad, and indicates the probable error in the process up to that stage.

In stage two, all possible diameter settings of the cover meter are investigated, to see which diameter setting gives the best agreement between (distance-to-centre plus half-diameter) and indicated cover.
For the CM5 and CM52, the diameter settings are from the list of "whole sizes"; with care, and when measuring a single bar, an accuracy of ±1 size can be achieved (ie within one size either side of the true value).
Additional errors will be introduced if there are other bars in proximity to the bar being measured: in such cases, the estimated bar diameter will be too large, but the estimated cover will still be adequately accurate.

For the CM9, the same process is used, but is all performed automatically by the instrument. The possible diameter settings of the CM9 are those of the E20 list of "half sizes", but the accuracy of the result is still ±1 size (or ±2 half-sizes), and is similarly affected by nearby bars.

Orthogonal

This is described in Application Note #C35 "New Orthogonal bar-sizing method", and full details given in Paper P95 (SFR95) "Improvements to the orthogonal method for determining reinforcing bar diameter using a cover meter" (Abstract available).

Although two separate measurements are again required, the determination of diameter is a single-stage procedure.
A ratio is calculated, and a graph (or look-up table) used to convert this to a bar diameter.
Again, the "line" on the graph can be made broad to indicate the variation in experimental values for the ratios; and in practice (inside the CM9) a "staircase" line is used instead, so that the deduced diameter is "quantised" to the nearest standard value in the E20 "half-sizes" list.

With care, and on a single bar, the accuracy will be ±1 half-size.
If there are nearby bars affecting the readings, the indicated result will usually be too large, especially if transverse bars are present.


Accuracy

It is only meaningful to quote accuracy when measuring a single bar, as it is obvious that errors will increase if there are other nearby bars.
Also, attempts to measure the diameter of deep bars will be less accurate than measurements of bars at shallow and medium covers.

For the Spacer-Ratio and AutoSize methods, an accuracy of ±1 size can be achieved, which can also be quoted as ±25% of bar diameter.

For the Orthogonal method, an accuracy of ±½ size, or ±1 half-size, can be achieved; this could be quoted as ±15% of bar diameter.

Please note that accuracy, for both methods, using either instrument, is critically dependent upon precise positioning of the search head and upon correct zeroing before each measurement.


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Bar Size Comparisons

Table 1 lists the old US eighth-inch number sequence and the new ACI318M/ASTM "hard metric" diameters, together with the "soft metric" conversions and the recommended CM9 and CM52 equivalent settings.

Comparison of inch and metric Bar Sizes and Diameters
US sizeFractional
inches
Decimal
inches
Millimetre
conversion
Soft metric
eg Japanese
CM9
equivalent
CM52
equivalent
(#2)1/40.25 6.35666
--5/160.31 7.9--88
#33/80.375 9.59
10
9
10
10
ASTM10--0.44 11.3(10)1110
#41/20.50 12.7131212
#5
ASTM15
5/8
--
0.625
0.63
15.9
16.0
16
16
16
16
16
16
#63/40.75 19.051918
20
20
ASTM20--0.79 19.5(19)2020
#77/80.875 22.2222220
ASTM25
#8
--
1   
0.99
1.00
25.2
25.4
25
25
25
25
25
25
#911/81.125 28.6292825
32
ASTM30--1.175 29.9(29)28
32
32
#1011/41.25 31.75323232
#1113/81.375 34.9353632
ASTM35--1.40 35.7(35)3632
(#12)11/21.50 38.1384040
(#13)15/81.625 41.3414040
ASTM45
#14
--
13/4
1.72
1.75
43.7
44.45
(44)
(44)
44
44
40
40
(#15)17/81.875 47.6(48)50--
(#16)2   2.00 50.8(51)50--
ASTM55--2.22 56.4(57)(50)--
US sizeFractional
inches
Decimal
inches
Millimetre
conversion
Soft metric
eg Japanese
CM9
equivalent
CM52
equivalent


Table 2 similarly lists the ASTM standard prestressing tendons.

ASTM Prestressing Tendons
Nominal
diam/mm
Inch
conversion
CM9
equivalent
CM52
equivalent
Prestressing Wire
4.880.19255
4.980.19655
6.351/466
7.010.27677
Prestressing Bars: Plain
193/418
20
20
227/82220
250.9962525
2911/82832
3211/43232
3513/83632
Prestressing Bars: Deformed
150.59814
16
16
200.7312020
261.0402525
321.2613232
361.4183632
40
Nominal
diam/mm
Inch
conversion
CM9
equivalent
CM52
equivalent


Table 3 lists the "ASTM dimensional requirements for deformed steel wire for concrete reinforcements (SI units)".
This is a numbering system which is neither linear nor logarithmic in diameter, but is linear in cross-sectional area.

ASTM Area-derived Dimensions
NumberDiameter
inch
Nominal
diam/mm
CM9
equivalent
CM52
equivalent
D-10.1132.87----
D-20.1604.05(5)(5)
D-30.1954.9655
D-4
D-5
0.226
0.252
(#2=0.250)
5.73
6.41
6
6
6
6
D-60.2767.0277
D-7
D-8
0.299
0.319
7.58
8.11
8
8
8
8
D-90.3398.6098
D-100.3579.06910
D-110.374
(#3=0.375)
9.519
10
10
D-12
D-13
0.391
0.407
9.93
10.33
10
10
10
10
D-140.42210.721110
D-15
D-16
0.437
0.451
11.10
11.46
11
11
12
12
D-170.46511.821212
D-18
D-19
D-20
0.479
0.492
0.505
(#4=0.500)
12.16
12.49
12.82
12
12
12
12
12
12
D-21
D-22
D-23
0.517
0.529
0.541
13.13
13.44
13.75
14
14
14
12
12
12
D-24
D-25
D-26
D-27
0.553
0.564
0.575
0.586
14.04
14.33
14.61
14.89
14
14
14
14
16
16
16
16
D-28
D-29
D-30
D-31
0.597
0.608
0.618
0.628
(#5=0.625)
15.17
15.43
15.70
15.96
16
16
16
16
16
16
16
16
NumberDiameter
inch
Nominal
diam/mm
CM9
equivalent
CM52
equivalent


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