PROBLEM 6:A vertical gate is an equilateral trianglewhose edge is 3.5 m long. If one edgeis level with the water surface,compute the total pressure on the gateand the location of the center ofpressure below the water surface.a. 92.13 kN ; 2.56 m below w.sb. 52.54 kN ; 1.52 m below w.sc. 63.50 kN ; 2.34 m below w.sd. 67.43 kN ; 1.82 m below w.s

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Answered: PROBLEM 6: A vertical gate is an…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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SITUATION 2 A rectangular gate 3 meters high and 1.2 meters wide is hinged at the top. A force to keep the gate closed is applied at the bottom with an angle if 45° with the horizontal. Compute the magnitude of this force if: 4. The water surface is leveled to the top of the gate. c. 41.62 kN d. 62.43 kN a. 49.94 kN b. 58.27 kN 5. The water surface is 0.9 meters above the top of the gate. c. 60.35 kN d. 90.52 kN a. 84.49 kN b. 72.42 kN 6. The water surface is 0.9 m below the top of the gate. c. 23.45 kN d. 28.14 kN a. 32.83 kN b. 35.18 kN
1. The submerged sector gate AB is one-sixth of a circle of radius 6m. The length of the gate is 10m. Determine the amount and location of the horizontal and vertical components of the total resultant force acting on the gate B 60 A
A vertical rectangular plate 2m by 3m is submerged with its 2m edge on the same level with water surface. Find the total hydrostatic force acting on one face of the plate. a. 52.5 kNb. 88.29 kNc. 36.5 kNd. 40.5 kN
Situation 1: A rectangular gate 3 m high and 1.5 wide is hinged at the top. A force to keep the gate closed is applied at the bottom with an angle of 45° with the vertical. Compute the magnitude of this force if: 29. The water surface is level with the top of the gate 62.43 kN 41.62 kN 49.94 KN 58.27 kN 30. The water surface is 0.9 m above the top of the gate 60.35 KN 72.42 kN 90.52 kN 84.49 KN 31. The water surface is 0.9 m below the top of the gate 32.83 kN 35.18 KN 28.14 kN 23.45 KN
2m 1.5m OIL SG- 0.82 3m A vertical triangular gate with top base horizontal and 1.5m wide and 3m high. It is submerged in oil (SG = 0.82) with its top base submerged to a depth of 2m. Determine the magnitude of the total hydrostatic force and the location of the force from the surface. A F = 66.22KN and location = 3.083m B F = 54.30 KN and location = 3.167m F = 66.22KN and location = 3.167m D) No answer among the choices E F = 54.30 KN and location = 3.083m
Water 10m Air pressure = 40 kPa eg o- Fair persare 5m • eg Sm hinge support 13. Calculate the horizontal reaction at the hinge. a. 680.48 kN b. 677.29 kN c. 640.59 kN d. 659.24 kN 14. Obtain the location of the total hydrostatic force from the bottom of the gate. Denote as "x" a. 2.375 m b. 2.030 m c. 2.292 m d. 2.044 m 15. Determine the location of the hinge support (measured from the bottom) to hold the gate in position. Denoted as "z" a. 2.375 m b. 2.030 m c. 2.292 m d. 2.044 m
A trapezoidal plate measuring 2 m at top edge and 3 m at the bottom edge is immersed in water with the plan making an angle of 30 degrees to the free surface of water. The top and the bottom edges lie at 1 m and 2 m respectively from the surface. Determine the hydrostatic force on the plate. * O 75.00 kN 75.21 kN O 75.52 kN O 75.73kN
A wooden circular board 1-m diameter is being submerged vertically in a liquid having SG-1.15. Its topmost part is flushed in the liquid surface. Find the total hydrostatic force acting on one side of the board. O 5.13 kN O 4.43 kN O 3.85 kN O 2.95 kN
What is the minimum width for the base of a dam 30m high if upward pressure beneath the dam is assumed uniformly from full hydrostatic head at the heel to zero at the toes? Use the resultant of the reacting force cut the base at the downstream edge of the middle third of the base at O and weight of the concrete is 2.5w. -6m 30⁰m
A square plate having each side equal to 3m is submerged vertically in water such that the upper edge of the plate is at depth 1m from the free surface. What will be the total hydrostatic force on the plate? a. 145.89 kN b. 132.44 kN c. 220.73 kN d. 88.29 kN
A vertical rectangular gate 2 m wide and 1.2 m high has water on one side with surface 3 m above its top. Determine the magnitude of the total hydrostatic force acting on the gate and its distance from the water surface. Ans: F-84.6 kN, y - 3.63 m Problem 3-101
13. A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an angle of 60° with the free surface of water. Determine the total pressure and position of centre of pressure when the upper edge of the plate is 2 m below the free water surface. [Ans. 228.69 kN, 3.427 m from free surface] 14. Arectangular gate 6 mx2 m is hinged at its base and inclined at 60° to the horizontal as shown in Fig. 3.54. To keep the gate in a stable position, a counter weight of 29430 N is attached at the upper end of the gate. Find the depth of water at which the gate begins to fall. Neglect the weight of the gate and also friction at the hinge and pulley. [Ans. 3.43 m) WATER SURFACE HINGE 3m HINGE - 1.5 m Fig. 3.54 Fig.3.55 15. An inclined rectangular gate of width 5 m and depth 1.5 m is installed to control the discharge of water as shown in Fig. 3.55. The end A is hinged. Determine the force normal to the gate applied at B to open it. [Ans. 97435.8 N] 16. A gate…

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