Chapter 7, Problem 7.17P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

The grain-size analysis data for a sand is given in the following table. Estimate the hydraulic conductivity of the sand at a void ratio of 0.77. Use Eq. (7.30) and *SF* = 6.5.

To determine

Find the hydraulic conductivity of the sand at a void ratio of 0.77.

Explanation

**Given information:**

The given void ratio (*e*) is 0.77.

The shape factor *SF* is 6.5.

**Calculation:**

Determine the fraction between two consecutive sieves for first two sieve numbers using the relation.

Here,

Substitute 100 for

Similarly, calculate the fraction between two consecutive sieves for remaining consecutive sieves.

Summarize the calculated values as in Table (1).

Sieve No. | Opening (cm) | Percent passing | Fraction between two |

30 | 0.06 | 100 | 15 |

40 | 0.0425 | 85 | |

21 | |||

60 | 0.02 | 64 | |

32 | |||

100 | 0.015 | 32 | |

29 | |||

200 | 0.0075 | 3 |

Determine the fraction between sieve Nos. 30 and 40 using the relation.

Here,

Substitute 15 for

Determine the fraction between sieve Nos. 40 and 60 using the relation.

Substitute 21 for

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