Chapter 5, Problem 5.4P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

The sieve analysis of ten soils and the liquid and plastic limits of the fraction passing through the No. 40 sieve are given below. Classify the soils by the AASHTO classification system and give the group index for each soil.

To determine

The classification of each soil based on AASTHO classification and provides the group index for each soil.

Explanation

**For soil 1:**

Determine the group index of soil 1 using the formula.

Here, *LL* is the liquid limit, and *PI* is the plasticity index.

Refer given data.

Substitute 50 for *LL*, and 29 for *PI*.

Thus, the group index of soil 1 is

Refer Table (9.1), “Classification of highways subgrade materials” in the text book.

Show the parameter specifications from Table (5.1), and parameters of the given soil as in Table 1.

Parameter | Specification in Table (5.1) | Parameters of the given soil |

Percent passing sieve | ||

No. 10 | - | 98 |

No. 40 | - | 80 |

No. 200 | 36 min | 50 |

Liquid limit | 40 max | 38 |

Plasticity index (PI) | 10 max | 10 |

Refer Table 1.

The soil falls under the classification of A-4.

Hence, the classification of the soil as per AASTHO is

**For soil 2:**

Determine the group index of soil 2 using the formula.

Refer given data.

Substitute 80 for *LL*, and 23 for *PI*.

Thus, the group index of soil 2 is

Show the parameter specifications from Table (5.1), and parameters of the given soil as in Table 2.

Parameter | Specification in Table (5.1) | Parameters of the given soil |

Percent passing sieve | ||

No. 10 | - | 100 |

No. 40 | - | 92 |

No. 200 | 36 min. | 80 |

Liquid limit | 41 min | 56 |

Plasticity index (PI) | 11 min | 23 |

Refer Table 2.

The soil falls under the classification of A-2-7.

Hence, the classification of the soil as per AASTHO is

**For soil 3:**

Determine the group index of soil 3 using the formula.

Refer given data.

Substitute 65 for *LL*, and 22 for *PI*.

Thus, the group index of soil 3 is

Show the parameter specifications from Table (5.1), and parameters of the given soil as in Table 3.

Parameter | Specification in Table (5.1) | Parameters of the given soil |

Percent passing sieve | ||

No. 10 | - | 100 |

No. 40 | - | 88 |

No. 200 | 36 min | 65 |

Liquid limit | 40 max | 37 |

Plasticity index (PI) | 11 min | 22 |

Refer Table 3.

The soil falls under the classification of A-4.

Hence, the classification of the soil as per AASTHO is

**For soil 4:**

Determine the group index of soil 4 using the formula.

Refer given data.

Substitute 45 for *LL*, and 20 for *PI*.

Thus, the group index of soil 4 is

Show the parameter specifications from Table (5.1), and parameters of the given soil as in Table 4.

Parameter | Specification in Table (5.1) | Parameters of the given soil |

Percent passing sieve | ||

No. 10 | - | 85 |

No. 40 | - | 55 |

No. 200 | 36 min | 45 |

Liquid limit | 40 max | 28 |

Plasticity index (PI) | 10 max | 4 |

Refer Table 4.

The soil falls under the classification of A-4.

Hence, the classification of the soil as per AASTHO is

**For soil 5:**

Determine the group index of soil 5 using the formula.

Refer given data.

Substitute 62 for *LL*, and 28 for *PI*.

Thus, the group index of soil 5 is

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