A moment M applied about the hinge A helps the stainless-steel gate in the figure hold fresh water in storage. Calculate the necessary M to just hold the gate closed against the lip of the container at C if the specific weight of the fresh water in tank is 62.41 lb/ft³, the width of the gate is 80 in, the weight of the gate is 120 lb, and the point G in the figure shows the center of gravity of the gate. 40 in 70 in 50 in B M G 60° 25 in C

A moment M applied about the hinge A helps the stainless-steel gate in the figure hold fresh water in storage. Calculate the necessary M to just hold the gate closed against the lip of the container at C if the specific weight of the fresh water in tank is 62.41 lb/ft³, the width of the gate is 80 in, the weight of the gate is 120 lb, and the point G in the figure shows the center of gravity of the gate. 40 in 70 in 50 in B M G 60° 25 in C

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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Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.

Question

4. A moment M applied about the hinge A helps the stainless-steel gate in the figure
hold fresh water in storage. Calculate the necessary M to just hold the gate closed
against the lip of the container at C if the specific weight of the fresh water in tank
is 62.41 lb/ft³, the width of the gate is 80 in, the weight of the gate is 120 lb, and the
Point G in the figure shows the center of gravity of the gate.
40 in AM
70 in
50 in
B
G
60⁰
25 in

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Step 2: Analyzing the total forces acting of the gate-AB

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Step 3: Analyzing the total forces acting of the gate-BC

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Step 4: Taking the moments of all forces acting on the gate

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