Answered: In a drained compression test on…

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter2: Geotechnical Properties Of Soil

Section: Chapter Questions

Problem 2.12P

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Question

In a drained compression test on consolidated clay, the deviator stress is 40 lb/in2 and friction angle is 30°. Calculate the effective confining pressure at failure.

Expert Solution

Step 1

Deviator stress = 40 lb/in²

Internal friction angle, $ϕ$ = 30°

Step 2

The formula for axial stress is given by,

$σ_{1} = σ_{c} + σ_{d}$

Where,

$σ$ _c= confining pressure

$σ$ _d= deviator stress

The formula for minor principal stress for drained condition is given by,

$σ_{3} = σ_{c}$

The formula for axial stress is also given by,

$σ_{1} = σ_{3} \tan^{2} (45 + \frac{ϕ}{2}) \dots (1)$

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