centre of11. A rectangular tank 4 m long, 1.5 m wide contains water upto a height of 2 m. Calculate the force due towater pressure on the base of the tank. Find also the depth of centre of pressure from free surface.[Ans. 117720 N, 2 m from free surface]12. A rectangular plane surface I m wide and 3 m deep lies in water in such a way that its plane makes an angleof 30° with the free surface of water. Determine the total pressure and position of centre of pressure whenthe upper edge of the plate is 2 m below the free water surface.13. A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes anangle of 60° with the free surface of water. Determine the total pressure and position of centre of pressurewhen the upper edge of the plate is 2 m below the free water surface.[Ans. 809325 N, 2318 m][Ans. 228.69 kN, 3.427 m from free surface]14. A rectangular gate 6 mx 2 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[Ans. 3.43 m]the hinge and pulley.WATER SURFACEHINGE3 mhHINGEwwwFig.3.54Fig. 3.5515. An inclined rectangular gate of width 5 m and depth 1.5 m is installed to control the discharge of water asshown 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 supporting water is shown in Fig. 3.56. Find the height"h' of the water so that the gate begins to tip about the hinge.Take the width of the gate as unity.17. Find the total pressure and depth of centre of pressure on atriangular plate of base 3 m and height 3 m which is immersed inwater in such a way that plane of the plate makes an angle of 60°with the free surface. The base of the plate is parallel to water surface and at a depth of 2 m from waterFREE WATER SURFACEGATE[Ans. 3x 5 m]- HINGEFig. 3.56surface.[Ans. 126.52 kN, 2.996 m]1.5 m

Given that: A rectangular tank of length, l= 4m and width = 1.5m.Height of water in the tank, h=2m

centre of pre 11. A rectangular tank 4 m long, 1.5 m wide contains water upto a height of 2 m. Calculate the force due to water pressure on the base of the tank. Find also the depth of centre of pressure from free surface. [Ans. 117720 N, 2 m from free surface]

centre of pre 11. A rectangular tank 4 m long, 1.5 m wide contains water upto a height of 2 m. Calculate the force due to water pressure on the base of the tank. Find also the depth of centre of pressure from free surface. [Ans. 117720 N, 2 m from free surface]

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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A triangle ABC is shown below (not to scale). Surface ABC is flat and homogeneous. Surface ABC is submerged vertically in the water. AB-AC-6 m. Angel BAC is 90°. BC is parallel with the water surface at a distance of 10 m. The system temperature is 30 °C. (A) What is the magnitude of the total hydrostatic force acting on ABC? (B) What is the vertical distance from the point of action of the total hydrostatic force to the surface of the water? t sheet: Water surface B C TABLE 2.1 Surface Area, Centroid, and Moment of Inertia of Certain Simple Geometrical Plates Area Centroid Moment of Inertia About the Neutral x-Axis