Q1 A semi-circular steel gate is installed in the side of a water storage reservoir that...

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Q1 A semi-circular steel gate is installed in the side of a water storage reservoir that has a side slope of 50 as shown in figure Q1. The gate has a radius of 3m and the top of the gate is supported by a horizontal shaft attached to the reservoir. The bottom of the gate is supported at point P with a force Fy normal to the gate. The depth of water in the reservoir is 15m Air 15m Find the following Water 50 Air Gate Shaft Fy Figure Q1 P 3m (i) The depth to the geometric centre, y (10 Marks) (ii) The Resultant Force, R (20 Marks) (iii) The depth, D at which the Resultant Force acts (30 Marks) (iv) The reaction force, Fr at point P, to keep the gate closed (40 Marks) Q1 A semi-circular steel gate is installed in the side of a water storage reservoir that has a side slope of 50 as shown in figure Q1. The gate has a radius of 3m and the top of the gate is supported by a horizontal shaft attached to the reservoir. The bottom of the gate is supported at point P with a force Fy normal to the gate. The depth of water in the reservoir is 15m Air 15m Find the following Water 50 Air Gate Shaft Fy Figure Q1 P 3m (i) The depth to the geometric centre, y (10 Marks) (ii) The Resultant Force, R (20 Marks) (iii) The depth, D at which the Resultant Force acts (30 Marks) (iv) The reaction force, Fr at point P, to keep the gate closed (40 Marks)