A rectangular gate 3 meters high and 1. 2 meters wide is hinged at the top. A force to keep the gate closed is applied at the bottom with an angle of 45 degrees with the vertical. Compute the following if the water surface is 0. 9 meters below the top of the gate. Use 9. 81kN/m3 as water's specific weight. (a) the total hydrostatic force acting on the gate in kN; (b) the distance of the total hydrostatic force measured from the liquid surface in m; and (c) the magnitude of the force at the bottom of the gate in kN.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem No. 1
A rectangular gate 3 meters high and 1. 2 meters wide is
hinged at the top. A force to keep the gate closed is applied
at the bottom with an angle of 45 degrees with the vertical.
Compute the following if the water surface is 0. 9 meters
below the top of the gate. Use 9. 81kN/m as water's specific
weight.
(a) the total hydrostatic force acting on the gate in kN;
(b) the distance of the total hydrostatic force measured from
the liquid surface in m; and
(c) the magnitude of the force at the bottom of the gate in
kN.
Transcribed Image Text:Problem No. 1 A rectangular gate 3 meters high and 1. 2 meters wide is hinged at the top. A force to keep the gate closed is applied at the bottom with an angle of 45 degrees with the vertical. Compute the following if the water surface is 0. 9 meters below the top of the gate. Use 9. 81kN/m as water's specific weight. (a) the total hydrostatic force acting on the gate in kN; (b) the distance of the total hydrostatic force measured from the liquid surface in m; and (c) the magnitude of the force at the bottom of the gate in kN.
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