A semi-circular gate is hinged at its bottom edge along H. The gate is made of steel sheet metaland has a mass 125 kg and its top edge rests on the wall. Confirm whether the gate will stay shut whenthe water level in the tank rises to 0.8 m as shown in the figure. (Note: la = TIR /4 and 0.1102R for acircular and semi-circular shapes, respectively), and height to CoG from the bottom edge of a semicircleis 3). Sketch the problem and show LP, LG, COG and CoP, and also show all your workings in aclear and an appropriate way.0.8m360°WallH1m

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A semi-circular gate is hinged at its bottom edge along H. The gate is made of steel sheet metal and has a mass 125 kg and its top edge rests on the wall. Confirm whether the gate will stay shut when the water level in the tank rises to 0.8 m as shown in the figure. (Note: lo = TIR /4 and 0.1102R for a circular and semi-circular shapes, respectively), and height to CoG from the bottom edge of a semicircle is 4). Sketch the problem and show LP, LG, COG and CoP, and also show all your workings in a clear and an appropriate way. 0.8m 360° Wall 1m

A semi-circular gate is hinged at its bottom edge along H. The gate is made of steel sheet metal and has a mass 125 kg and its top edge rests on the wall. Confirm whether the gate will stay shut when the water level in the tank rises to 0.8 m as shown in the figure. (Note: lo = TIR /4 and 0.1102R for a circular and semi-circular shapes, respectively), and height to CoG from the bottom edge of a semicircle is 4). Sketch the problem and show LP, LG, COG and CoP, and also show all your workings in a clear and an appropriate way. 0.8m 360° Wall 1m

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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Question

A semi-circular gate is hinged at its bottom edge along H. The gate is made of steel sheet metal
and has a mass 125 kg and its top edge rests on the wall. Confirm whether the gate will stay shut when
the water level in the tank rises to 0.8 m as shown in the figure. (Note: la = TIR /4 and 0.1102R for a
circular and semi-circular shapes, respectively), and height to CoG from the bottom edge of a semicircle
is 3). Sketch the problem and show LP, LG, COG and CoP, and also show all your workings in a
clear and an appropriate way.
0.8m
360°
Wall
H
1m

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Step 1: Firstly Draw the Diagram

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Step 2: Find Hydrostatic force on the gate .

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Step 3: Moment of inertia about G

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Step 4: Compare self weight Moments and hydrostatic pressure moments

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