Question

A sample of dry sand is tested in direct shear. The shear box holding the sample has a circular cross section with a diameter of $50 \mathrm{~mm}$. The normal (compressive) lood imposed is $200 \mathrm{~N}$. The sample shears when the shear force is $130 \mathrm{~N}$. (a) Determine the test normal stress and shear stress af failure. (b) Determine the angle of iaternal friction $\phi$ for this soil. (e) What is the probable coosdition of the tested sample (dense, loose, ete.)?

   A sample of dry sand is tested in direct shear. The shear box holding the sample has a circular cross section with a diameter of $50 \mathrm{~mm}$. The normal (compressive) lood imposed is $200 \mathrm{~N}$. The sample shears when the shear force is $130 \mathrm{~N}$.
(a) Determine the test normal stress and shear stress af failure.
(b) Determine the angle of iaternal friction $\phi$ for this soil.
(e) What is the probable coosdition of the tested sample (dense, loose, ete.)?

Essentials of soil mechanics and foundations : basic geotechnics

David F. McCarthy 7th Edition

Chapter 11, Problem 2

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Step 1

The diameter of the shear box is given as $50 \, \text{mm}$. First, convert this to meters: \[ 50 \, \text{mm} = 0.050 \, \text{m} \] The radius $r$ is half of the diameter: \[ r = \frac{0.050}{2} = 0.025 \, \text{m} \] The area $A$ of the circle Show more…

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A sample of dry sand is tested in direct shear. The shear box holding the sample has a circular cross section with a diameter of $50 \mathrm{~mm}$. The normal (compressive) lood imposed is $200 \mathrm{~N}$. The sample shears when the shear force is $130 \mathrm{~N}$. (a) Determine the test normal stress and shear stress af failure. (b) Determine the angle of iaternal friction $\phi$ for this soil. (e) What is the probable coosdition of the tested sample (dense, loose, ete.)?

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