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Handout22 - clockwise Normal Stresses(j Positive Negative...

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Stresses- at a Point - 0' = Normal stress (acts perpendicular to selected plane) l' = Shear stress (acts parallel to selected plane) 0'1 = Maximum 0' on any plane through a particular point. The=shear stress is zero on the-plane - where 0' is a maximum. 0'1 = Major principal stress. 0'3 = Minimum 0' on any, plane through a particular point. The shear stress on this plane is zero also. The plane on which 0'3 acts is perpendicular to the plane on which 0'1 acts. 0'3 = Minor principal stress. 0'2 = Normal stress acting on the plane that is perpendicular to the plane on which 0'1 and 0'3 act. There is also no shear stress on this plane. 0'2 = ~ntermediate principal stress.
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Mohr's Circle - Sign Convention Sign convention for plotting Mohr's Circles of stress: 1. Compressive cr's are positive. 2. Shearing stresses are positive if they produce a counter- clockwise moment. 3. Orientation of planes are positive if they are measured counter-
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Unformatted text preview: clockwise. Normal Stresses, (j Positive: Negative: Shear Stresses, 't Positive o o Negative o o Orientation .of Planes - The Pole Point, Op I aa 't a 0 + ... ab 'tb Procedure for finding Op: 1. Draw a Mohr's circle. ·2. Draw a line through the point aa, 't a parallel to plane a (Plane a is the plane on which aa and 't a act). 3. The pole point is the point, Op, where the line intersects (or in special cases is tangent to) the Mohr's circle. 4. If the stresses, ab and 't'b on another plane (Plane b) are known, draw a line parallel to plane b; this line should also intersect the circle at Op. Note: The planes, e. g. lIa" and "b n do not have to be horizontal or vertical; the planes can be inclined at any angle. Example: ('5v = ('51 = 2000 pst ('5h = ('53 = 1 000 pst Find orientation ot 't max • " " Planes of 't max Suppose instead we have: Consider another example: l -...
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