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e211test2

# e211test2 - TEST 2 STATICS FORMULAS CENTROIDS/CENTER OF...

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TEST 2 STATICS FORMULAS Page 1 CENTROIDS/CENTER OF GRAVITY Center of Gravity - Continuums = xdW W x = ydW W y = zdW W z Centroids of Areas - Continuums = xdA A x = ydA A y Centroids of Composite Areas (n discrete shapes) = = = n i i n i i i A A x x 1 1 = = = n i i n i i i A A y y 1 1 Treatment of holes in an object – give area, volume, or weight of the hole a negative sign x barele = x y barele = (f 1 + f 2 )/2 f 2 - f 1 dx y x Centroids by Integration tall thin strips = dA dA x x ele = dA dA y y ele PAPPAS/GULDINUS FORMULAS Surface Area of Revolution L y A π 2 = where y = distance from the centroid of the generating line to the axis of rotation y π 2 = distance traveled by the centroid in the rotation L = length of the generating line Volume of Revolution A y V π 2 = where y = distance from the centroid of the generating area to the axis of rotation y π 2 = distance traveled by the centroid in the rotation A = area of the generating shape

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TEST 2 STATICS FORMULAS Page 2 TRUSSES
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e211test2 - TEST 2 STATICS FORMULAS CENTROIDS/CENTER OF...

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