Chapter 17, Problem 17.6P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Following are the results of a standard penetration test in fine dry sand.

**17.6** For the sand deposit, assume the mean grain size, *D*_{50}, to be 1 mm and the unit weight of sand to be 18.5 kN/m^{3}. Estimate the variation of relative density with depth using the correlation developed by Cubrinovski and Ishihara [Eq. (17.18)]. Assume *p _{a}* ≈ 100 kN/m

Assuming the soil in Problem 17.5 is a clean, medium fine sand, use the Meyerhof (1957) method [Eq. (17.19)] to estimate the variation of relative densities with depth.

To determine

Find the variation of relative density with depth using Meyerhof method.

Explanation

Given information:

Show the depth and number of blows shown in table:

Depth,(m) | |

0.5 | 6 |

2.0 | 9 |

3.5 | 12 |

5.0 | 14 |

6.5 | 17 |

Assume the average unit weight

The atmospheric pressure is

Calculation:

Calculate the overburden pressure

Here, *z* is depth.

Substitute

Find the variation of relative density with depth

Substitute

Thus, the variation of relative density at the depth

Calculate the overburden pressure

Substitute

Find the variation of relative density with depth

Substitute

Thus, the variation of relative density at the depth

Calculate the overburden pressure

Substitute

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