A series of three direct shear tests has been conducted on a certain saturated soil. Each test was performed on a 2.375-inch dia
meter, 1.00-inch tall sample. The results of these tests are as follows:
Test Number Normal Stress Shear Stress
1 2435 1656
2 4870 3571
3 7305 4578
Determine the friction angle and cohesion intercept.
Test Number Normal Stress Shear Stress
1 2435 1656
2 4870 3571
3 7305 4578
Determine the friction angle and cohesion intercept.
1 answer:
Answer:
Go to explaination for the details of the answer.
Explanation:
Angle of friction (friction angle) is a measure of the ability of a unit of rock or soil to withstand a shear stress. It is the angle (φ), measured between the normal force (N) and resultant force (R), that is attained when failure just occurs in response to a shearing stress (S).
The cohesion intercept is a used when we want to describe the shear strength soils. The definition is mainly derived from the Mohr-Coulomb failure criterion and it is used to describe the non-frictional part of the shear resistance which is independent of the normal stress.
Please check attachment to Determine the friction angle and cohesion intercept.
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Answer:
MRS = -2.23 (x2/x1)
Explanation:
The concept of Marginal rate of substitution(MRS) is applied here. MRS occurs when a consumer is willing to give up a good at the expense of another whilst still maintaining the same utility. The principle of partial differentiation is mostly applied in MRS Calculation.
From MRS = -(MUx/MUy)
The steps are as shown in the attachment
