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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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Presentation on theme: "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."— Presentation transcript:

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2 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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5 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)

6 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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8 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

9 = maximum compressive principal stress
= intermediate compressive principal stress = minimum compressive principal stress

10 Normal Stress and Shear Stress
= Normal Stress resolved on plane = shear stress resolved on plane

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13 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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