86 



BULLETIN" 414, U. S. DEPARTMENT OF AGRICULTURE. 



Values of q and h, derived by the solution of this equation, should be 

 reduced by about one-third to allow for friction, and values of Q and 

 H should be increased in the same proportion. 



Example: As an example of the use of the foregoing equation, sup- 

 pose it is desired to determine the requisite flow of a spring to supply 

 the camp of 40 convicts, in which the daily consumption is 1,800 gal- 

 lons, the proposed location of the ram being 14 feet below the spring 

 and 200 feet below an elevated storage tank. 



Solution: As the ram operates throughout the entire 24 hours of 

 the day the quantity of water in gallons per minute to be pumped, 



1800 



(which is q) is equal to 



= 1.25 gallons. The height of the 



24x60 



storage tank above the ram (or h) is 200 feet, and the fall from the 

 spring to the ram is 14 feet. Substituting these values for the sym- 

 bols in the equation, 



QX14 



1.25=- 



200 



or, 



Q= 



1.2 5X200 

 14 



=17.86 gallons per minute. 



Increasing this value by one-third to allow for friction, it is found that 

 under the conditions named a flow of 23.8 gallons per minute will be 

 necessary at the spring to force 1^ gallons per minute into the storage 

 tank. 



Table 13 gives commercial estimates of the quantities of water 

 delivered in 24 hours under various conditions: 



Table 13. — Capacity of hydraulic rams. 



Power 



head 



in 



feet. 



Pumping head in feet. 



4 



10 



15 



20 



30 



40 



50 



60 



70 



80 



90 



100 



120 



140 



160 



180 



200 



2 

 3 



4 

 5 

 6 

 7 

 8 

 9 

 10 

 12 

 14 

 16 

 18 

 20 

 22 

 24 

 26 

 28 

 30 



540 



192 

 301 

 432 

 540 



128 

 192 

 256 

 345 

 432 

 505 



96 

 144 

 192 



240 

 302 

 378 

 432 

 485 

 540 



64 

 96 

 128 

 160 

 192 

 235 

 270 

 300 

 360 

 430 

 505 



43 

 72 

 96 

 120 

 144 

 168 

 192 

 216 

 252 

 301 

 353 

 432 

 486 

 540 



29 

 58 

 77 

 96 

 115 

 134 

 154 

 173 

 192 

 230 

 270 

 323 

 390 

 430 

 475 

 520 



24 



43 



64 



80 



96 



112 



128 



144 



160 



192 



224 



257 



303 



336 



370 



405 



470 



505 



540 





















37 



55 



69 



82 



96 



110 



124 



137 



165 



192 



220 



247 



288 



303 



346 



375 



430 



465 



27 



43 



60 



72 



84 



96 



108 



120 



144 



168 



192 



216 



240 



264 



288 



328 



354 



405 



24 



38 



53 



64 



75 



86 



96 



107 



128 



150 



171 



192 



214 



235 



256 



278 



300 



336 















29 



43 



57 



67 



77 



86 



96 



115 



135 



154 



173 



192 



212 



230 



250 



269 



288 



24 

 30 

 43 

 50 

 64 

 72 

 80 

 96 

 112 

 128 

 144 

 160 

 176 

 192 

 208 

 224 

 240 











26 

 31 

 36 



55 



62 



68 



82 



96 



110 



124 



137 



151 



164 



178 



192 



206 









27 

 31 

 43 

 54 

 60 

 72 

 84 

 96 

 108 

 120 

 132 

 144 

 150 

 108 

 180 



24 

 28 

 38 

 43 

 53 

 64 

 75 

 85 

 96 

 107 

 118 

 128 

 139 

 149 

 160 



"25' 

 29 

 39 

 43 

 57 

 67 

 77 

 86 

 96 

 105 

 115 

 125 

 134 

 144 













































































































































