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. 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[Ans. 3.43 m)the hinge and pulley.WATER SURFACEw wHINGE3 mHINGE60Fig.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"A' 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 3 m]HINGEFig. 3.56surface.[Ans. 126.52 kN, 2.996 m)

As per guidelines please post rest questions separately

12. A rectangular plane surface I m wide and 3 m deep lies in water in such a way that its plane makes an angle of 30° 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. 13. A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an f F0P nith the free surface of water, Determine the total pressure and position of centre of pressure [Ans. 809325 N, 2.318 m]

12. A rectangular plane surface I m wide and 3 m deep lies in water in such a way that its plane makes an angle of 30° 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. 13. A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an f F0P nith the free surface of water, Determine the total pressure and position of centre of pressure [Ans. 809325 N, 2.318 m]

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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