The purpose of this document is to describe the method for determining Flakiness Index, Elongation Index and Angularity Number of the given sample of aggregate.
The particle shape of aggregate is determined by percentages of flaky and elongated particles contained in it.
In case of gravel it is determined by its angularity number.
For base course and construction of bituminous and cement concrete types, the presence of flaky and elongated particles are considered undesirable as they may cause inherent weakness with possibilities of breaking down under heavy loads.
Rounded aggregate are preferred in cement concrete road construction as the workability of concrete improves.
Angular shape of particles is desirable for granular base course due to increased stability derived from the better interlocking.
Thus evaluation of shape of the particles, particularly with reference to flakiness, elongation and angularity is necessary for good quality road works.
Desirable Values for Aggregate Shape Tests
Maximum allowable limits of flakiness index values for various types of construction are given below:
S. No 
Type of pavement construction  Maximum limit of
Flakiness Index, % 
1 
Bituminous carpet 
30 
2 
(i) Bituminous/Asphaltic concrete 
25 
(ii) Bituminous surface dressing (single coat, two coats and precoated)  
(iii) Bituminous penetration macadam  
(iv) Builtup spray grout  
3 
(i) Bituminous macadam 
15 
(ii) Water bound macadam, base and surfacing courses 
Though elongated shape of the aggregates also affects the compaction and the construction of pavements, there are no specified limits of elongation index values as in the case of flakiness index for different methods of pavement construction.
The angularity number measures the percent voids in excess of 33 percent which is obtained in the case of the most rounded gravel particles.
Angularity number of aggregates generally ranges from zero for highly rounded gravel to about 11 for freshly crushed angular aggregates.
Slightly higher values of angularity number also may be obtained in the case of highly angular and flaky aggregates.
Thus higher the angularity number, more angular and less workable is the aggregate mix.
It is desirable that the flakiness index of aggregates used in road construction is less than 15% and normally does not exceed 25%.
Elongation index value in excess of 15 percent is considered undesirable, however no recognized limits have been laid down for elongation index.
Flakiness Index Test
The Flakiness index of aggregate is the percentage by weight of particles whose least dimension [thickness] is less than three fifths [0.6] times of their mean dimension.
The test is not applicable to aggregate size smaller than 6.3 mm
Apparatus
a) Thickness gauge
b) Weighing balance
c) Sieves of sizes 63 mm, 50 mm, 40 mm, 31.5 mm,25 mm,20 mm, 16 mm, 12.5 mm, 10 mm and 6.3 mm
Procedure
The sieves are arranged such that the largest size sieve (63 mm) is at the top and the smallest size sieve (6.3 mm) is at the bottom.
The given aggregate are sieved.
A minimum of 200 pieces of each fraction to be tested are taken and weighed = W1 grams.
In order to separate flaky aggregate, each fraction is then gauged for thickness through the respective opening on the thickness gauge.
For example, if the aggregate is from 50 – 40 fraction, it is gauged through the opening of 27.00 mm on the thickness gauge.
The flaky aggregate passing the respective openings are collected and accurately weighed = w1 g.
The procedure is repeated for other fractions having weights W2, W3, etc. and the flaky aggregate in them having weights w2, w3 respectively are weighed.
Then
Flakiness Index = (w1+w2+w3+——) x 100 / (W1+W2+W3+——)
The flakiness Index of the given sample of aggregate is = ……….. %
Finding the Concrete Elongation Index
The elongation index of an aggregate is the percentage by weight of particles whose greatest dimension (length) is greater than one and four fifth times [1. 8] times their mean dimension.
The elongation test is not applicable to size smaller than 6.3 mm.
Apparatus
a) Length gauge
b) Weighing balance
c) Sieves of sizes 63 mm, 50 mm, 40 mm, 31.5 mm, 25 mm, 20 mm, 16 mm, 12.5 mm, 10 mm and 6.3 mm
Procedure
The sample is sieved through the sieves specified and a minimum of 200 pieces of each fraction are taken and weighed = W1 g.
In order to separate elongated aggregate, each fraction is then gauged individually for length through the respective opening on the length gauge
In each fraction, the aggregate retained on the respective opening on the length gauge is collected and weighed =X1 g.
The procedure is repeated for other fractions having weights W2, W3, etc. and the weights of elongated aggregate in them X2, X 3 etc. are found.
Then
Elongation Index = (X1+X2+X3 +—) x 100 / (W1+W2+W3+——)
The elongation Index of the given sample of aggregate = _______ %
Aggregate Angularity Number Test
The angularity number of an aggregate is the amount by which the percentage voids exceeds 33, after being compacted in a prescribed manner.
The angularity number is found from the expression (67 – 100 * W / CG, percent).
Here the value 67 represents the percentage volume of solids of most rounded gravel, which would have 33 percent voids.
Apparatus
a) A metal cylinder closed at one end having 3 litre capacity, diameter and height approximately equal
b) A metal tamping rod, 16 mm in diameter and 600 mm long.
c) Weighing balance
d) Sieves of sizes 25, 20, 16,12.5, 10, 6.3 and 4.75 mm
Procedure for Angularity Number Test
The sieves for each fraction (as specified) are arranged such as 25 – 20 mm, etc.
Given sample of aggregate is sieved so that sufficient pieces are obtained in each fraction.
The empty cylinder is accurately weighed = ‘ a’ g
Each aggregate fraction is separately filled in the cylinder in 3 (three) layers tamping each layer 100 (hundred) times with the rounded end of tamping rod. The excess aggregate are removed.
Cylinder along with aggregate is weights = ‘b’ g
The aggregate are removed from the cylinder. The cylinder is completely filled with water and after wiping its outer sides it is weighed with water = ‘d’ g
Then Angularity number may be calculated from the expression,
Angularity number = 67 – 100 W / CG
Where,
W= Mean weight of aggregate in the cylinder
C = Weight of water required to fill the cylinder
G= Average Specific gravity of aggregate
The angularity number of the given sample of aggregate = ………%
Observations
Weight of empty cylinder = a g  
Weight of cylinder +aggregate = b g  
Weight of aggregate in the cylinder = (ba) = W g  
Weight of cylinder + water = d g  
Weight of water in the cylinder = (da) = C g 
Flakiness Index and Elongation Index Observations
Sl. No 
Size of aggregate 
Weight of the fraction consisting of at least 200 pieces, ‘g’ [3] 
Thickness gauge size ‘mm’ [4] 
Weight of
aggregate in each fraction passing thickness gauge ‘g’ [5] 
Length gauge size
‘mm’ [6] 
Weight of aggregate in each fraction retained on length ‘g’
[7] 

Passing through sieve ‘mm’ [1] 
Retained on sieve ‘mm’ [2] 

1 
63  50  W1=  33.90  w1=  — 
— 
2 
50  40  W2=  27.00  w2=  81.0 
X1= 
3 
40  31.5  W3=  19.50  w3=  58.0 
X2= 
4 
31.5  25  W4=  16.95  w4=  — 
— 
5 
25  20  W5=  13.50  w5=  40.5 
X3= 
6 
20  16  W6=  10.80  w6=  32.4 
X4= 
7 
16  12.5  W7=  8.55  w7=  25.6 
X5= 
8 
12.5  10  W8=  6.75  w8=  20.25 
X6= 
9 
10  6.3  W9=  4.89  w9=  14.7 
X7= 
Total 
—  W =  —  w =  — 
X = 
Flakiness Index = (w1+w2+w3+—–) x 100/ (W1+W2+W3+——)
Elongation Index = [X1+X2+X3 —– ] x 100 / (W1+W2+W3+—–)
Angularity Number = 67 – 100 W/ CG
Tabular Column
Weight of aggregate in the cylinder = W gram  
Weight of water in the cylinder = C gram  
Angularity Number = 67 – 100 W/ CG [Take G=2.68] 