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Published byDiane Potter Modified over 6 years ago
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Stress = Force/Area Force is measured in units of mass*acceleration 1 N (Newton) = 1 kg * m * s-2 another common unit for force is the pound
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Pressure is a number. It corresponds to a special kind of stress.
Stress is a tensor, but it has the same units as pressure (Pa) 1000 Pa = 1 kPa 1,000,000 Pa = 1 MPa (about 10 bars)
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Traction is a Vector Tractions are vectors = force/area
Traction can be resolved into two components Normal component to plane = normal stress Tangential component = shear stress
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The stress tensor The stress tensor is symmetric
The stress tensor has 3 principal axes The principal axes are mutually orthogonal principal axis = direction in which the traction vector is parallel to normal to plane => no shear stress resolved on that plane
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= maximum compressive principal stress
= intermediate compressive principal stress = minimum compressive principal stress
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Normal Stress and Shear Stress
= Normal Stress resolved on plane = shear stress resolved on plane
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n = (1+3)/2 - [(1-3)/2] cos 2
= [(1-3)/2] sin 2 THESE ARE ALSO THE EQUATIONS FOR A CIRCLE WITH A RADIUS OF (1-3)/2 AND A CENTER (1+3)/2 TO THE RIGHT OF WHERE THE AXES CROSS!!!!
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