16-Civ-A4 Geotechnical Materials and Analysis · December 2018
Question 2 of 6: Multiple Choice with Reasoning
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Notes on this paper
Paper: National Examinations — December 2018 · 16-Civ-A4 Geotechnical Materials and Analysis · closed book, 3 hours, 100 marks · answer ALL six questions.
Reference texts: R.F. Craig & J. Knappett, Craig’s Soil Mechanics (8th ed.); B.M. Das, Principles of Geotechnical Engineering; R.D. Holtz, W.D. Kovacs & T.C. Sheahan, An Introduction to Geotechnical Engineering (2nd ed.); M. Budhu, Soil Mechanics and Foundations. Take $\gamma_w = 9.81\ \text{kN/m}^3$ throughout.
Question 2: Multiple Choice with Reasoning (10 marks)
The exam lists parts numbered 1, 2, 4 and 5 (its own numbering skips 3). Each is answered with the required justification.
Part 1 — Higher $\phi'$: (i) Sample A, the well-graded sand. A well-graded sand contains a range of sizes that pack densely, so grains interlock and dilate against one another during shear. That raises the angle of internal friction above that of a uniform (single-size) sand, whose looser, more compressible fabric mobilises a smaller $\phi'$.
Part 2 — Higher pore-water pressure at failure: (ii) Sample D ($\sigma_3'=300$ kPa). The pre-consolidation pressure is 200 kPa. Sample C ($\sigma_3'=100\lt200$) is over-consolidated, so it tends to dilate and develops low — even negative — shear-induced pore pressure. Sample D ($\sigma_3'=300\gt200$) is normally consolidated, so it contracts and generates a large positive pore pressure at failure.
Part 4 — Volume of a saturated NC clay during a CD shear: (iii) is reduced. A normally consolidated clay is contractive; with drainage permitted (CD), that contractive tendency is realised as a decrease in specimen volume as shear proceeds.
Part 5 — Pore pressure below the phreatic surface in an earth dam: (iii) positive value. The phreatic (top flow) line is the surface of atmospheric ($u=0$) pore pressure. Below it the soil is saturated and under a positive seepage pressure head, so $u\gt0$; above it (capillary zone) the pore pressure would be negative.