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Please answer the following question in its entirety without using excel, and showing all formulas and work.

Problem 4 The following information is given for a direct shear test on dry sand: Specimen area 50 mm x 50 mm Specimen height: 25 mm Test no. Normal Force (N) Shear Force at Failure (N) 200 300 400 143 205 279 A) Determine the shear strength parameters of the sand (c and ф) that can be used in foundation design B) For a normal force of 500 N, what shear force is required to cause failure in the specimen C) What are the principal stresses at failure for Test No. 1 D) What is the indination of the major principal plane with the horizontal for Test No. 1?

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