Question 1 Discuss and explain benefits including examples of using a Mohr circle in geotechnical studies. Question 2 You are a Construction Manager of the project to build a 5-m-high (H) retaining wall with a vertical back (θ = 0°) and a horizontal granular backfill. Given: γ = 15.5 kN/m3 , δ' = 10°, and Φ' = 25°. a. Estimate the passive force, Pp, by using Coulomb's theory (2 marks) b. In addition, if θ > 0°, discuss how this would have an impact on Kp, Pp as well as design of this project (4 marks, 400 words). Question 3 Refer to the infinite slope shown in the Figure below. Given: β = 25°, γ = 17.5 kN/m3 , Φ' = 28°, c' = 30 kN/m2 , and there is no seepage through the soil. a. Find the height, H, such that a factor of safety, Fs, of 4 is maintained against sliding along the soil–rock interface (3 marks). b. If there was seepage through the soil (γ = 19 kN/m3 ) and a groundwater table coincides with the ground surface as shown below, discuss how this would have an impact on your calculation and answer (including sketches and/or equations) (3 marks, 300 words). Question 4 You are a Project Manager of a project to design and construct a square footing as shown below. a. The preliminary key parameters are: γ = 17.5 kN/m3 , c' = 18 kN/m3 , Φ' = 32°, Df = 1 m, B = 120 cms, and factor of safety = 4. Using the Terzaghi's bearing-capacity factors equation, determine the gross allowable load per unit area (qall) that the footing can carry (without effect of groundwater) b. In addition, you are assigned to reduce a size of the footing. This aims to reduce a material cost of this project, but the gross allowable load per unit area determined above must be maintained. Based on your footing design knowledge, please identify three possible ways to do so, and conceptually explain how these would potentially affect your project (3 marks, 400 words). Question 5 Discuss the following soil exploration terms and their applications (including sketches, photos and/or equations) in your own words: a. Boring methods b. Soil common sampling methods c. Borehole pressuremeter test d. Rock coring