A gravity dam of trapezoidal cross section shown below, with one face vertical and a horizontal base is 20 m high and 4 m thick at the top. The water at the upstream vertical face stands 2 m below the crest of the dam. The specific gravity of the masonry is 2.4. Compute the base width of the dam when the resultant force will cut the extremity of the middle third considering the uplift pressure force varies uniformly 100% from heel to zero at toe. A gravity dam of trapezoidal cross sectionshown below, with one face vertical and ahorizontal base is 20 m high and 4 m thick atthe top. The water at the upstream verticalface stands 2 m below the crest of the dam.The specific gravity of the masonry is 2.4.Compute the base width of the dam whenthe resultant force will cut the extremity ofthe middle third considering uplift pressureforce varies uniformly 100% from heel tozero at toe. 4m2m18mNote: Ry's distance is B/3 from the toe.

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Answered: A gravity dam of trapezoidal cross…

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 gravity dam of trapezoidal cross section shown below, with one face vertical and a horizontal base is 20 m high and 4 m thick at the top. The water at the upstream vertical face stands 2 m below the crest of the dam. The specific gravity of the masonry is 2.4. Compute the base width of the dam when the resultant force will cut the extremity of the middle third considering the uplift pressure force varies uniformly 100% from heel to zero at toe.

A gravity dam of trapezoidal cross section
shown below, with one face vertical and a
horizontal base is 20 m high and 4 m thick at
the top. The water at the upstream vertical
face stands 2 m below the crest of the dam.
The specific gravity of the masonry is 2.4.
Compute the base width of the dam when
the resultant force will cut the extremity of
the middle third considering uplift pressure
force varies uniformly 100% from heel to
zero at toe.

4m
2m
18m
Note: Ry's distance is B/3 from the toe.

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