**Objective:**

To find mean size of particle in coarse aggregate.

**What is Fineness modulus of Coarse aggregate?**

Fineness modulus of coarse aggregate is a index number, which represent the mean size of particle in coarse aggregates.

Fineness modulus is found by performing the sieve analysis.

The formula to find out the fineness modulus is, all the sum of percentage cumulative retention of each sieve divided by 100, provides values of Fineness modulus.

**Fineness modulus **

**Determination of Fineness modulus of coarse aggregates:**

**Test to find out Fineness modulus of Coarse Aggregates:**

Generally, sieve analysis is done to find out fineness modulus of Coarse Aggregates as well as coarse aggregate. (As per IS 2083 Part 4)

**IS Code for Fineness Modulus** **of Coarse Aggregates**: **IS : 383 -1970**

**Sample Preparation:**

Take the aggregates sample of exact 1kg by weighing it. (Make sure that all aggregates should be oven dried at 110℃ before measurement) and note down the measurement as W1 (1kg or 1000gm)

**Sieve Analysis: Test procedure ****(**IS : 2386 (Part 1) and IS : 2386 (Part 4))

**Apparatus:**

- Different type of sieves (As per IS standards)
- Weighing Balance (Accuracy upto 0.01gm)
- Mechanical Sieve shaker
- Oven

**Procedure:**

Following steps are need to follow for sieve analysis:

- Take the aggregates sample of exact 1kg by weighing it. (Make sure that all aggregates should be oven dried before measurement) and note down the measurement as W1 (1kg or 5000gm)
- If the particles are lumped then crush the lumps with hand or pestle.
- Weigh all the empty sieves and record their weight in gms.
- Prepare the all sieves for testing by dusting all. And stack them all together with respect to their size. Note that the largest sieve size should be at top and smallest at bottom by arranging them in descending order, it shall collect the sieved samples from above sieve.
- Place the sample(W1), in top most sieve close the lid, pack the sieve stacker by fixing the clamps.
- And start mechanical sieve shaker for 10 to 15 minutes. And switch it off after the rotating period.
- Unpack the all sieves and measure the mass of each sieve to find out the weight of retain aggregates on each sieve.
- Calculate the wright of retained material on each sieve by subtracting the empty weight of that particular sieve.
- Analysis the all readings. Make sure that sum of all retained material should be equal to weight of sample taken.
- Calculate the cumulative percentage of retention on each sieve.

**Data Recording** **and Calculations:**

**Data Recording**

Sample Details:______________

Sample weight taken(W): __________gms

Day & date:_______

Time:______________

Table for Reading Reference: (Coarse Aggregates only)

Sr. No. | Sieve Size | Sieve number | Weight Retained (gm) | Cumulative weight retained (gm) | Percentage weight retained | Percentage weight passing |

| | | | | (C/W) x100 | |

1 | 80mm | 10 | 0 | 0 | 0 | 100 |

2 | 40mm | 9 | 200 | 200 | 5 | 95 |

3 | 20mm | 8 | 1270 | 1470 | 36.76 | 63.24 |

4 | 10mm | 7 | 2100 | 3500 | 87.5 | 12.5 |

5 | 4.75mm | 6 | 1430 | 5000 | 100 | 0 |

6 | 2.36mm | 5 | 0 | 5000 | 100 | 0 |

7 | 1.18mm | 4 | 0 | 5000 | 100 | 0 |

8 | 0.6mm | 3 | 0 | 5000 | 100 | 0 |

9 | 0.3mm | 2 | 0 | 5000 | 100 | 0 |

10 | 0.15mm | 1 | 0 | 5000 | 100 | 0 |

Total | 729.36 |

Fineness modulus of Coarse Aggregate = Sum of cumulative percentage retained/ 100 = 729.36/100= 7.29

Therefore, the Fineness modulus of Coarse Aggregate is 2.76.

**Result:**

The Fineness modulus of coarse aggregates is 2.76.

- It means the
**mean size of particle in**Coarse Aggregate**is between the 7**^{th}and 8^{th}sieve. **It simply means the average or mean particle size of**Coarse Aggregate**lies is in between 10mm to 20mm.**

**General range of Fineness modulus of Coarse aggregate:**

Maximum size of coarse aggregate | Fineness modulus range |

20mm | 6.0 – 6.9 |

40mm | 6.9 – 7.5 |

75mm | 7.5 – 8.0 |

150mm | 8.0 – 8.5 |

** Grading Limit for Coarse Aggregates: **(Based on Clause 4.1 and 4.2 of IS: 383- 1970)

IS Sieve | Percentage passing for single sized aggregates of nominal size(mm) | |||||

63 mm | 40 mm | 20 mm | 16 mm | 12.5 mm | 10 mm | |

80 mm | 100 | – | – | – | – | – |

63 mm | 85 – 100 | 100 | – | – | – | – |

40 mm | 0 – 30 | 85 – 100 | 100 | – | – | – |

20 mm | 0 – 5 | 0 – 20 | 85 – 100 | 100 | – | – |

16 mm | – | – | – | 85 – 100 | 100 | – |

12.5 mm | – | – | – | – | 85 – 100 | 100 |

10 mm | 0 – 5 | 0 – 5 | 0 – 20 | 0 – 30 | 0 – 45 | 85 – 100 |

4.75 mm | – | – | 0 – 5 | 0 – 5 | 0 – 10 | 0 – 20 |

2.36 mm | – | – | – | – | – | 0 – 5 |

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