Analytical Chem Soil HW Solutions 61

Analytical Chem Soil HW Solutions 61 - φ crit Is the...

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61 QUESTIONS AND SOLUTIONS: CHAPTER 5 Interpretation of triaxial test results Q5.1 Data from a conventional, consolidated-undrained triaxial compression test, carried out at a constant cell pressure of 400 kPa, are given below. Axial strain ε a , % 0 0.05 0.09 0.18 0.39 0.69 1.51 Deviator stress q, kPa 0 10.9 22.3 33.5 45.0 53.5 65.4 Pore water pressure u, kPa 274.6 280.3 284.6 290.8 300.0 307.6 314.4 Axial strain ε a , % 3.22 4.74 6.13 7.89 9.39 11.03 Deviator stress q, kPa 79.0 85.7 89.6 91.4 93.9 94.0 Pore water pressure u, kPa 317.0 315.1 312.6 312.1 312.7 312.8 Plot graphs of mobilized strength φ ' mob and pore water change Δ u against shear strain γ . Plot also the total and effective stress paths in the q,p and q,p' planes. Comment on these curves,
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Unformatted text preview: φ ' crit . Is the sample lightly or heavily overconsolidated? Q5.1 Solution Convert the data to the required format using the following equations (for derivations and justifications, see the main text Section 5.4 etc): γ =1.5 ε a (main text Figure 5.7) t = ( σ ' 1-' 3 )/2 (main text Equation 5.1) s' = ( ' 1 + ' 3 )/2 (main text Equation 5.2) φ ' mob = sin-1 (t/s') (main text Figure 5.6) q = ' a-' r = a-r = a-c (main text Equation 5.6) p'= c-u+q/3 (main text Equation 5.10) p= c +q/3. (main text Equation 5.11) Now, t = ( ' 1-' 3 )/2 = ( 1-3 )/2 = ( a-c )/2 = q/2 and s' = ( ' 1 + ' 3 )/2 = [( 1 + 3 )/2]-u = [( a + c )/2]-u...
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