4 Solved Problems on Introduction to Geotechnical Engineering | CVEN 365, Assignments of Civil Engineering

Download 4 Solved Problems on Introduction to Geotechnical Engineering | CVEN 365 and more Assignments Civil Engineering in PDF only on Docsity! TEXAS A&M UNIVERSITY CVEN 365: Introduction to Geotechnical Engineering Professor Briaud Assignment #10 Solution -Shear strength, Mohr circle - Problem 1 ' tancτ σ φ= + ' 20 10 9.81 10 101.9 kPaσ = × − × = 5 101.9 tan 30 63.83 kPaτ∴ = + × =o Problem 2 a) 1 3 1 3 40 20 40 20cos 2 cos(2 30) 35 2 2 2 2 kPaσ σ σ σσ α+ − + −= + = + × = 1 3 40 20sin 2 sin(2 30) 8.66 2 2 kPaσ στ α− −= = × = b) From the Mohr circle, No failure occur. c) α= 45º plane (35,-8.66) (30,0) φ=40¡ Æ α=45¡ Æ (20,0) (40,0) (30,10) τ σ (30,-10) Problem 3. a) Test 1 '3 3 330 , 30 10 20kPa u kPaσ σ σ= = − = − = ' 1 3 1 1 0.45 30 75 , 75 10 65 0.01 Q kPa u kPa A σ σ σ σ= + = + = = − = − = Test 2 ' 3 3 360 , 60 20 40kPa u kPaσ σ σ= = − = − = ' 1 3 1 1 0.70 60 130 , 130 20 110 0.01 Q kPa u kPa A σ σ σ σ= + = + = = − = − = b) ' tancτ σ φ= + c) C=6.81 (34.25,20.65) (63.34,32.4) 112¡ Æ112¡Æ φ=22¡ Æ σ'(20,0) (65,0)(42.5,0)(40,0) (75,0) (110,0) d) 6.81 ' tan 22τ σ= + o e) If this sample is clay, this is over consolidated clay ( 0c ≠Q ) f) 6.81 ' tan 22 6.81 100 tan 22 47.21 kPaτ σ= + = + × =o o g) 45 2 2245 56 2 φθ θ = + ∴ = + = o o