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Unformatted text preview: Stress and Shear Strength CE2004 What we’ll cover Stress in soils Combined stresses Shear strength Measurement Mohr’s Circle Stress in soil: components Load Stress on a plane = Normal stress σ + Shear stress τ σ and τ vary depending on the plane being considered Can use this approach to identify ……………………..within soil On what plane will σ be maximum and τ be zero Planes are perpendicular Principal stresses working on planes σ 1 σ 2 σ 3 Normally taken as equal to σ 1 or σ 3 ……………. …………… Determining σ and τ for different planes σ 1 σ 1 σ 3 σ 3 Take area of this plane as unity (1) θ F n = σ n x area = σ n x 1 = σ n θ Area = 1 x sin θ Area = 1 x cos θ F 1 = σ 1 x area = σ 1 cos θ F 3 = σ 3 x area = σ 3 sin θ τ n = τ n x1 Determining stress on a random plane where principal stresses are known θ Shear force on plane τ n τ n = σ 1 cos θ sin θ – σ 3 sin θ cos θ = ( σ 1 σ 3 ) sin θ cos θ Maximum shear occurs on plane at 45° from principal plane with magnitude: τ n = ½( σ 1 σ 3 ) Soil resistance to shear...
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This note was uploaded on 11/23/2011 for the course ENGINEERIN H203 taught by Professor Michael during the Spring '09 term at Brunel University.
 Spring '09
 Michael
 Geotechnical Engineering, Shear Stress, Shear, Stress

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