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Unformatted text preview: Shear and Torsion 14:125:208 Introduction to Biomechanics Shearing Stress and Strain When we apply a shear stress we get angular deformation When you plot shear stress ( t ) vs. shear strain ( g ) you obtain ? ? = ? Hookes Law for shearing stress and strain G is the shear modulus or modulus of rigidity Shearing Stress and Strain The same holds true for other shear stresses Limits for G Solve for shear stress Shear and Elastic Properties Earlier we measured the effects of axial stresses on transverse faces If a cube with sides of length 1 is subjected to axial strain, the lengths become What if we turn the cube, those strains will change the angles and lead to shearing stresses Shear and Elastic Properties After noting that ? occurs at 45 and using geometric identities = 1 + ? ? Using both Hookes Laws we can relate the shear and elastic moduli Shear in Bending For any beam subjected to a shearing force, V, both horizontal and vertical shear stresses, t , are produced t Shear in Bending Consider a cantilever beam made up of planks that are not bonded and subjected to transverse loading Each individual plank will be subjected to slip at the interfaces Plane sections before deformation do not remain plane after deformation If the planks are bonded together, longitudinal shear...
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 Fall '11
 JosephFreeman

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