depth of water on the upstream and downstream sides of the lock are 6 m and 4 m respectively. Find:is 10 m. Each gate is supported by two hinges located at I m and 5 m above the bottom of the lock. Thesides of the gates are 4 m and 3 m respectively, determine : () the magnitude of resultant pressure an cuch24. The end gates ABC of a lock are 8 m high and when closed make an angle of 120°. The width of ktgate, and (i) magnitude of the hinge reactions. [Ans. (i) 79.279 kN, (i) Ry=27.924 kN, R,-51.UAN18. Find the horizontal and vertical components of the total force acting on a curved surface AB, whichgates are closcd, they make an angle of 120°. The width of the lock is 4 m. If the depths of water on the rwein the form of a quadrant of a circle of radius 2 m as shown in Fig. 3.57. Take the width of the gte 2Mechanics[Ans. F,=117.72 kN, F,= 140.114WATER SURFACEWATER SURFACEOHINGER=3 mFig.3.57Fig.3.5819. Fig. 3.58 shows a gate having a quadrant shape of radius of 3 m. Find the resultant force due to wmetre length of the gate. Find also the angle at which the total force will act. [Ans. 82.201 kN, 0 = 57 3n20. A roller gate is shown in Fig, 3.59. It is cylindrical form of 6.0 m diameter. It is placed on the damthe magnitude and direction of the resultant force due to water acting on the gate when the water is ingoing to spill. The length of the gate is given 10 m.[Ans. 2.245 MN, 0= 38ROLLERGATEWATER SURFACERe46.0 mWATER SURFACE (c30730HÍNGEDAMFig. 3.59Fig. 3.6021. Find the horizontal and vertical components of the water pressure exerted on a tainter gate of t4m as shown in Fig. 3.60. Consider width of the gate unity.[Ans. F, = 19.62 kN, F, = 71024N22. Find the magnitude and direction of the resultant waterpressure acting on a curved face of a dam which is shapedWATER SURFACEaccording to the relation y=as shown in Fig. 3.61. The612 mheight of water retained by the dam is 12 m. Take the widthof dam as unity.23. Each gate of a lock is 5 m high and is supported by twohinges placed on the top and bottom of the gate. When the(Ans. 970.74 kN, 0 = 43° 19]Fig. 3.61o Resultant water force on cach gate,

Answered: Image /qna-images/answer/82fea709-2355-4736-9823-6822cc707a87.jpg

18. Find the horizontal and vertical components of the total force acting on a curved surface AB, which in the form of a quadrant of a circle of radius 2-m as shown in Fig. 3.57. Take the width of the gae 2 [Ans. F,= 117.72 kN, F, = 140.114 WATER SURFACE WATER SURFACE OHINGE 2m R3 m

18. Find the horizontal and vertical components of the total force acting on a curved surface AB, which in the form of a quadrant of a circle of radius 2-m as shown in Fig. 3.57. Take the width of the gae 2 [Ans. F,= 117.72 kN, F, = 140.114 WATER SURFACE WATER SURFACE OHINGE 2m R3 m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Each gate of a lock is 5m high and is supported by two hinges placed on the top and bottom of the gate. When the gates are closed, they make an angle of 120 deg. The width of the lock is 4m. If the depths of water on the two sides of the gates are 4m and 3m respectively, determine: (i) the magnitude of resultant pressure on each gate, and (ii) magnitude of the hinge reactions (Problem 3.32)
A rectangular gate of width 5 m and depth 1.5 m is installed to control the discharge as shown in figure below. The end 'B' is hinged. Determine the force normal to the gate applied at 'A' to open it. C Gate 3.0 m B 45° 1.5 m Hinge Gate: 5.0 m width 1.5 m depth
Н.W. 7] The unstretched length of spring AB is 3 m. If the block is held in the equilibrium position shown, determine the mass of the block at D. 3 m- 4 m kẠC = 20 N/m www www kAB = 30 N/m %3D 3 m %3D kAD = 40 N/m De
Q2: The head regulator of canal has two opening each 3 m wide, the vertical opening of the gate is 1.2 m and the head of the regulator is 0.35 m afflux. Calculate the discharge through the gates and then draw the relationship between the head and the gate opening (d) if the discharge is constant, .maximum gate opening is 2.3 m. (c=0.62)
# 4] The isosceles triangle gate shown in the figure is hinged at A and weighs 1000N. What is the total hydrostatic force acting on one side of the gate in kiloNewton? Locate the center of pressure from B. -.Is... 3.0m 2m 3.0m 60 B.
9-111. The symmetric concrete "gravity" dam is held in place by its own weight. If the density of concrete is P = 2.5 Mg/m³, and water has a density of p= 1.0 Mg/m³, determine the smallest distance d at its base that will prevent the dam from overturning about its end A. The dam has a width of 8 m. 1.5 m d Prob. 9-111 9 m
Problem 3 A 5-m long and 2-m wide gate contains water with a depth of 4 m as shown and is supported by a hinge at A. Determine the minimum weight of the gate (acting on its center of gravity) required to prevent the gate from opening. The specific weight of water is 9.81 kN/m³. A 4 m Hint: The minimum weight is that value for which there is no reaction at the surface at B. В
Figure shown below is a gate in the form of circular arc with a central angle of 60° and radius 2m with one end resting on the crest of the dam. The water surface is flushed with the upper end of the gate. Find the vertical component of hydrostatic force (kN) acting on the gate. The gate is 2.22 m long normal to the plane of the paper. O 2m 60 ° 2m
T A 300 2.5m Water hinge L = 2m In the figure shown, a quarter circle gate AOB is hinged at point B. Force "T" at point A is placed at a 30 degree angle from the horizontal to keep the gate in equilibrium. Determine the following: a) Total hydrostatic force "F" = Blank 1 KN b) Force "T" to make the system in equilibrium = Blank 2 KN
The end gates of a lock are 5 m high and when closed include an angle of 120°. The width of the lock is 6.25 m. Each gate is carried on two hinges placed at the top and the bottom of the gate. If the water levels are 4 m and 2 m on the upstream and downstream sides respectively, determine the magnitudes of the forces on the hinges due to the water pressure, [Take : Y, = 9819 N/m³]
A vertical gate of height 5 m and width of 3 m opposes the water at one of itssides. The deep of the water in the reservoir is 20 m. Determine the pressure andthe force acted at the centroid of the gate
3) Gate AB is 3.20 m long. Find the horizontal force H to hold the gate in equilibrium. (Width of AB is 2.0m). ANS: H = 24.50 kN 60 cm 2m Oil (80.80) Water A B H