masonry dam

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 masonry dam of trapezoidal cross section, with
one face vertical has a thickness of 60 cm at the top,
3.70 m at the base, and has a height of 7.40 m.
What is the depth of water on the vertical face if
the resultant intersects the base at the downstream
edge of the middle third? Assume that the uplift
pressure varies uniformly from full hydrostatic at
the heel to zero at the toe.

Follow the steps:

Step 1. Solve for all the forces.

Step 2.  Solve for Rx and Ry.

Step 3. Solve for RM and OM.

Step 4. Solve for x, where we will get the value of h or the depth of water.

Note: The answer must be near or exactly 5.83m.

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