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A vertical dam has the form of an isosceles trapezoid with horizontal sides parallel. The dam is 25 m high, 20 m in its lower part and 40 m in its upper part. Finally, the dam retains 15 m of water, as indicated in the figure below.

A vertical dam has the form of an isosceles trapezoid with horizontal sides parallel. The dam is 25 m high, 20 m in its lower part and 40 m in its upper part. Finally, the dam retains 15 m of water, as indicated in the figure below.

Structural Analysis
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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A vertical dam has the form of an isosceles trapezoid with horizontal sides parallel. The dam is 25 m high, 20 m in its lower part and 40 m in its upper part. Finally, the dam retains 15 m of water, as indicated in the figure below. -40 25 15 -20 a) Let y denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on the portion of the dam comprised between y m and y + Ay m is approximately P(y) Ay N. What is p (y)? Note that the density of water is p = 1000 Kg/ m3 and the acceleration due to gravity on the earth's surface is g = 9.8 m /s2. Express your answer as a formula. Answer: b) In Newtons, what is the total hydrostatic force exerted on the dam? FORMATTING: If you round your answer, ensure that the round-off error is less than 1% of the value. Answer: 220500
Transcribed Image Text:A vertical dam has the form of an isosceles trapezoid with horizontal sides parallel. The dam is 25 m high, 20 m in its lower part and 40 m in its upper part. Finally, the dam retains 15 m of water, as indicated in the figure below. -40 25 15 -20 a) Let y denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on the portion of the dam comprised between y m and y + Ay m is approximately P(y) Ay N. What is p (y)? Note that the density of water is p = 1000 Kg/ m3 and the acceleration due to gravity on the earth's surface is g = 9.8 m /s2. Express your answer as a formula. Answer: b) In Newtons, what is the total hydrostatic force exerted on the dam? FORMATTING: If you round your answer, ensure that the round-off error is less than 1% of the value. Answer: 220500
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