Question

Enter Search Tex S IT T T h 1 T . "A rectongular gate with a width into the paper of 5m is used to divide a fresh and salt water channel. a) At the levels shan, determine y needed to prevent gate om from opening. I | water S = 1000 kg salt water 8 = 10 20 ? ng b) For the salt water channel, should he height increase or decrease so that M is ON-m? Draw FBD of gore ! distributed load 2 the why? F of gare w/ equnalent pont loads.

Answer 1

AL 10-3 F = 7m JI -] NKN - Pe A = pg hc .A = 1000x 9.81 x 4.5x (985) x16 = 1986.525 KN This Force acts at 2x933 = 6m depth. F2 = P.A = p. g hc A = 1020x 9.81*3.5*(745) xió? = 122517595 KN This force acts at 2x 4 = 16 m depth. Now consider FBD of gate - EM=0 M+ (1225.7595)(7.67) -(1986.525)(7) = 0 =4th =7.67m => M = 8185.464 1986.525 KN 122517595 . M1485 6+1 14+3 Tom knim

. Let "huo be height for M =0 : E = PA = (1020148) (Y) (54) I nov = 25 m2 52 1986·525 KM 1986-525km. z = 2512 Z m=0 h 1986.525x7= for m=0 Em 30 ; 1996.62587 = (25.) (243+3). => 1986.92587 = qd' + 754" → 504 +75k? - 139056675-0 → Solving for "h" Th=80128 ml L so height should increase