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CE LICENSURE EXAMINATION PROBLEMS
5.
A trapeoidal flume in the shape of a half*hexagon has a base widt width h of 1.5 laid at a slop slopee S and has a roughness roughness 1.5 m. /t is laid coefficient n, and the discharge discharge is 3 m 3 /s when flowing full. /f the same material were used for the most efficient rectangular section, what would the discharge be in m3 /s0 (13 " '$ .2# .2! a. c. .#2 .&b. d.
6.
A trapeoidal flume in the shape of a half*hexagon has a base width of 1.5 m. /t is laid at a slope S , has a roughness coefficient n, and the discharge is 3 m3 /s when flowing full. /f the same material were used for the most efficient rectangular section, by how much would the discharge decrease in m3 /s0 (1- " 3$ ).-' ).2! a. c. ).3) ).# b. d.
EFFICIENT SECTIONS
MULTIPLE CHOICE 1.
A triangular shaped channel is to be designed to carry 700 L/s on a slope of 0.0001. Determine what vertex angle and depth of water over the vertex will be necessary to give a section with minimum perimeter, assuming the channel is made of timber, n = 0.012. Use Manning’s formula. (M! " ##$ θ % !&°, h % '.!& m θ % !&°, h % .'& m a. c. b. θ % )°, h % .'& m d. θ % )°, h % '.'& m
2.
Derive the criteria for the hydraulic radius of the most efficient, most economical, economical, and most advantageo advantageous us cross*sectio cross*section n of best proportion of the following following canal+channels (M! " #-$ trapeoidal canal a. triangular canal b.
3.
A trapeoidal flume of most efficient proportion has a base width of 1.5 m. /ts full discharge is 3 m3 /s. /f the same material were used for the most efficient rectangular section, by how much would the discharge decrease in m3 /s0 (1& " #$ ).2! ).-' a. c. ).3 ).# b. d.
4.
A rectangula rectangularr flume 3 m wide and and 1.5 m deep has a carrying capacity of 4.5 m3 /s. /f the same material were used for the most efficient efficient trapeoidal trapeoidal section, section, by how much would the carrying carrying capacity increase in m3 /s0 (M3 " !$ '.! '. a. c. '.# '.& b. d.