Answered: The soil in a dry granular deposit has…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

The soil in a dry granular deposit has an angle of internal friction equal to 35°. At a point in the soil mass where the lateral pressure (minor principal stress) is 1,000 psf, what maximum vertical pressure (major principal stress) can be imposed?

Expert Solution

Step 1

Given:

$\begin{array}{rcl} Angle of internal friction & = & 35 ° \\ Minor principal stress & = & 1000 psf \end{array}$

Step 2

$\begin{array}{rcl} σ_{V} & = & σ_{1} \\ σ_{H} & = & σ_{3} \\ σ_{H} & = & K_{0} \times σ_{1} \\ σ_{1} & = & \frac{σ_{H}}{K_{0}} \end{array}$

For normally consolitated soil

$K_{0} = 1 - \sin \emptyset K_{0} = 1 - \sin 35 ° K_{0} = 0.426$

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