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8/2/2019 Lect 5 Moments Couples
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- Moment of a vector
- Force couples
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1.) product of force by moment arm
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2.) replace force by rectangular components
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Using Law of Transmissibility
d1 = 4 + 2Tan40o
d1 = 2 + 4 cot40o
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3.) By cross product
Vector expression for a moment
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COUPLE
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Moment of a couple
Moment produced by 2 equal and oppositeforces is known as a couple.
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Moment of a couple
moment of couple about any point of reference 0.
cross product: M = r x F
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Moment of a couple
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Force-couple systems
resolution of a force into a force and a couple
equal external effect.
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Example
The indicated force-couple system is applied to a small shaft
at the center of a rectangular plate. Replace this system by asingle force and specify the coordinate of the point on the y-
axis through which the line of action of this resultant forcepasses
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