Drawing the Failure Envelope & Mohr Circle for Soil w/ Given Properties

AI Thread Summary
To determine if shear failure will occur in the given soil with c’=12 kPa and φ’=32°, the major and minor principal stresses of 348 kPa and 160 kPa, respectively, must be analyzed using the Mohr circle and failure envelope. The pore water pressure of 96 kPa impacts the effective stress and must be considered in the calculations. By plotting the Mohr circle and the failure envelope, one can visually assess whether the point lies within the failure envelope, indicating potential failure. If failure is indicated, the angle between the failure plane and the plane of the major principal stress can be calculated using established equations. Understanding these concepts is crucial for evaluating soil stability and predicting failure conditions.
EzaMoo
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Homework Statement



A*certain*soil*has*c’*=*12kPa*and*φ’*=*32°.*The*major*and*minor*principal*stresses*at*a*point*in*this*
soil*are*348*and*160*kPa*respectively,*and*the*pore*water*pressure*at*this*point*is*96*kPa.*Draw*
the*failure*envelope*and*the*Mohr*circle*and*determine*if*a*shear*failure*will*occur*at*this*point*in*
the*soil.*If*so,*determine*the*angle*between*the*failure*plane*and*the*plane*on*which*the*major*
principal*stress*acts.*

Homework Equations



As attached.

The Attempt at a Solution



As attached. But how do I know if failure has occurred?
 

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