For the gate shows in the figure, if the length of the gate is given as 4 m, calculate the minimumwater heighth such that the gate will stay in position under the action of hydrostatic andgravitational forces.The gate itself has a weight of 90 kN, and is 1 m wide. The density of water is given as p =1000 kg/m³.HingeGate30°hwaterHints on the steps:1) Find value of h and y. Will be in function of h2) Calculate hydrostatic force. Will be in function of h.3) Calculate yep. Will be in function of h.4) Calculate moment balance at hinge. Weight of the gate is at centroid.

Answered: Image /qna-images/answer/f7031961-d099-415b-90af-d3b68d1d8b00.jpg

Hints on the steps: 1) Find value of h and y. Will be in function of h 2) Calculate hydrostatic force. Will be in function of h. 3) Calculate yep. Will be in function of h. 4) Calculate moment balance at hinge. Weight of the gate is at centroid.

Hints on the steps: 1) Find value of h and y. Will be in function of h 2) Calculate hydrostatic force. Will be in function of h. 3) Calculate yep. Will be in function of h. 4) Calculate moment balance at hinge. Weight of the gate is at centroid.

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

For the gate shows in the figure, if the length of the gate is given as 4 m, calculate the minimum
water heighth such that the gate will stay in position under the action of hydrostatic and
gravitational forces.
The gate itself has a weight of 90 kN, and is 1 m wide. The density of water is given as p =
1000 kg/m³.
Hinge
Gate
30°
h
water
Hints on the steps:
1) Find value of h and y. Will be in function of h
2) Calculate hydrostatic force. Will be in function of h.
3) Calculate yep. Will be in function of h.
4) Calculate moment balance at hinge. Weight of the gate is at centroid.

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