A partially open sluice gate discharges water into a rectangular channel. The tail water depth in the channel is 3 m and Froude 1 If a free hydraulic jump is number is 2√2 to be formed at downstream of the sluice gate after the vena contracta of the jet coming out from the sluice gate, the sluice gate opening should be (coefficient of contraction C = 0.9) с

Rigid bar ABCD is loaded and supported as shown. Steel [E = 28800 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.62 in.2 and bar (2) has a cross-sectional area of 0.3 in.2. After load P is applied, the strain in bar (1) is found to be 610 μe. Assume L₁=59 in., L2=98 in., a=39 in., b=26 in., and c=24 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection VD of point D on the rigid bar. (c) the load P. W (2) (1) L₁ a B L2 b C D P

Problem 2: Given are matrices A, B, C and D. 21 -4 -26 7 -1 -2 2 -2 10 -8 A B = -1 3 -13 25 -11 -1 -1 21 -2 25 -18 1 -26 1/3 C =| -16 8. -7 D 10 -100 10y 7 -10 13 -98 1/2 22 Solve for: a) A + D b) 2C – 3A + B – 10D c) B +D - 2C + 3A d) В + D e) С - D

Utilice el método del trabajo virtual para determinar la deflexión horizontal en el punto A y la de flexión vertical en el punto B en el marco mostrado. I= .0005040 m^4 E=200 Gpa.