Mechanical Engineering > LECTURE SLIDES/NOTES > Topic 2-3 Stress-strain relationship and Shear Strength concepts (All)

Topic 2-3 Stress-strain relationship and Shear Strength concepts

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Mohr-Coulomb Failure Criteria • Mohr (1900) presented a theory for rupture in materials • “A material fails because of a critical combination of normal stress and shearing stress, and not fro... m either maximum normal or shear stress alone” (Das 1998). • Material fails when the shear stress on the failure plane at failure reaches some unique function of the normal stress on that plane” (Holtz & Kovacs 1981). • Functional relationship: tff = f (sff) 7 Mohr-Coulomb Failure Criteria • Functional relationship: tff = f (sff) • Where: • tff = shear strength of the material = shear stress on the failure plane at failure • sff = normal stress on the failure plane 8 5 Failure Envelope • If we know the principal stresses on a soil element at failure, we can construct a Mohr circle for this particular element at the failure condition • We could do several tests to failure, increasing stress each time, and draw Mohr circles for each • The failure envelope is a line tangent to all the circles 9 [Show More]

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