Q4- A rectangular gate 6 ft tall and 5 ft wide in the side of an open tank is held in place by the force F as indicated in Figure. The weight of the gate is negligible, and the hinge at O is frictionless. (a) Determine the water depth, h, if the resultant hydrostatic force of the water acts 2.5 ft above the bottom of the gate, i.e., it is collinear with the applied force F. (b) For the depth of part (a), determine the magnitude of the resultant hydrostatic force. (c) Determine the force that the hinge puts on the gate under the above conditions.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Class:
.........
Assignment No. 3
Q4- A rectangular gate 6 ft tall and 5 ft wide in the side of an open tank is
held in place by the force F as indicated in Figure. The weight of the gate is
negligible, and the hinge at O is frictionless. (a) Determine the water depth, h,
if the resultant hydrostatic force of the water acts 2.5 ft above the bottom of
the gate, i.e., it is collinear with the applied force F. (b) For the depth of part
(a), determine the magnitude of the resultant hydrostatic force. (c) Determine
the force that the hinge puts on the gate under the above conditions.
Water
Hinge O
Gate
6 ft
2.5ft
Name:
Class:
Assignment No. 3
Transcribed Image Text:Name: Class: ......... Assignment No. 3 Q4- A rectangular gate 6 ft tall and 5 ft wide in the side of an open tank is held in place by the force F as indicated in Figure. The weight of the gate is negligible, and the hinge at O is frictionless. (a) Determine the water depth, h, if the resultant hydrostatic force of the water acts 2.5 ft above the bottom of the gate, i.e., it is collinear with the applied force F. (b) For the depth of part (a), determine the magnitude of the resultant hydrostatic force. (c) Determine the force that the hinge puts on the gate under the above conditions. Water Hinge O Gate 6 ft 2.5ft Name: Class: Assignment No. 3
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