A Manual of the Mechanics of Engineering And of the Construction of Machines De
A Manual of the Mechanics of Engineering And of the Construction of Machines De
Julius Ludwig Weisbach
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Required the line of resistance for a dam, the face of which has the batter m = I, the back n $, the crown breadth b = 10 ft. , assuming that the specific gravity of the material is 2. We have here _ 2(3 A* + 60 A + 300) -4- ($ h + 30) A __ 1200+ 300 // + 17 A' 2 3 (3 A + 4~oV A) 24 (10 + A) therefore, for A = o, a = 5 ft. ; for A = 5 ft. , a =^ = 8-68 ft. ; 5000 for A = 10 ft. , a = - = 12-29 ft. ; 480 for A = 15 ft. , a = 9J~ = 15-87 ft. ; for // = 20 ft. , a = li ?? Ig . 44 f t-; etc. For a ...very great height, we may put a = -- 7 - A and b - I h, therefore Since is greater than 0-4, such a dam would be safe against overturning even for an infinite height. REMARK. According to the formula b = in the example, Vol. I. , Art. 280, if we put a = m h, hence and, therefore, in our last example, in which m i, h = b 10 ft. 159. Reservoir Sluices. For discharging the water from reservoirs we have sluices and waste weirs. The first run through the dam and serve to draw off the water as required.
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