Question

Samples of damp sand are tested in direct shear (samples are tested at the in situ water content). The procedure involves two scparate tests, with different normal loads for each test. In test one. using a normal loading which cavses a compressive stress equal to $50 \mathrm{kPa}$, the sample is failed at a shear stress equal to $33 \mathrm{kPa}$. For test two, the normal stress is $80 \mathrm{KPa}$ and the sample sheass at a stress of $51 \mathrm{kPa}$. Use this test data to determine the angle of internal friction and the value of apparent cohesion for this sand.

   Samples of damp sand are tested in direct shear (samples are tested at the in situ water content). The procedure involves two scparate tests, with different normal loads for each test. In test one. using a normal loading which cavses a compressive stress equal to $50 \mathrm{kPa}$, the sample is failed at a shear stress equal to $33 \mathrm{kPa}$. For test two, the normal stress is $80 \mathrm{KPa}$ and the sample sheass at a stress of $51 \mathrm{kPa}$. Use this test data to determine the angle of internal friction and the value of apparent cohesion for this sand.
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Essentials of soil mechanics and foundations : basic geotechnics
Essentials of soil mechanics and foundations : basic geotechnics
David F. McCarthy 7th Edition
Chapter 11, Problem 4 ↓

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Step 1: Calculate the angle of internal friction (φ) using the formula: φ = tan^(-1)(τ / σn) where τ is the shear stress and σn is the normal stress.  Show more…

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Samples of damp sand are tested in direct shear (samples are tested at the in situ water content). The procedure involves two scparate tests, with different normal loads for each test. In test one. using a normal loading which cavses a compressive stress equal to $50 \mathrm{kPa}$, the sample is failed at a shear stress equal to $33 \mathrm{kPa}$. For test two, the normal stress is $80 \mathrm{KPa}$ and the sample sheass at a stress of $51 \mathrm{kPa}$. Use this test data to determine the angle of internal friction and the value of apparent cohesion for this sand.
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