Question

When calculating the complete vector on the central section of the dam wall, do you include the 8m for the radial gates? Also, how do you calculate the length of the sides for the pressure prism of the uplift? The face is 142 + 8, is the other side 142/sin57?

Question 2 A large concrete gravity dam, storing water, has a central drum gate and four (4) radial gates installed on its central spillway section to control releases from the dam. Figure 2 provides a side view of the dam wall and radial gates The central section of the dam wall has the following dimensions and properties: Maximum water depth above dam spillway 8 metres crest, z at Full Supply Level with gates closed Specific weight of concrete dam wall, Y 23.5 k Vertical height of the dam wall, H Dam crest breadth (B-C) Dam base breadth (A-D) Angle of the spillway with the horizontal 570 base, e is Internal angle at the upstream toe, Ф Depth of water downstream of the dam wall 5 metres Radial gate radius Width of each radial gate 142 metres 8.5 metres 104 metres 900 10 metres 12 metres Height of water above dam spillway crest, 2 Gate Dam Height, H Dam Wall Sm

Answer 1

Given that Let a concrete dam storing water has a tree raffifal gates installed on its spillway to control readeser from the dam. Max.water depth above top of dam = 2 + 6 = 8m. V_1 = 12(1.07 times 4)-V_3/2 V_1 = V_2 = 16.4 m^3 V_3 = pi/6(8)^2-(2 times 1/2 times 6.92 times 4] times 12 V_3 = 69.76 m^3 Vertical force on gate F_Y_1 = pgv_1 = 1000 times 9.81 times 16.4 = 160,884 KN FY_2 = pg(V_1 + V_3) downarrow.pgV_2 uparrow FY = pgV_3-pgV_1 FR = squareroot F_x^2 + F_y^2 = squareroot 1.4656 times 10^13 F_R = 3828364.2 KN