Question 1 (110 points)

For a given length of the base (b)

evaluate the rotational stability

about the toe of the dam. The dam is

made of concrete of density p, and

the impounded fluid is water p

with P-2.5 p. The dam height is

D-10 m. Assume the base of the

dam is b= 10m and width of the

dam is w=1m into the page with

centroids and moments of area given

as below.

D

b

Water

For the rectangular dam:

1. Consistent with the lengths defined in the figure, calculate the resultant force for the

water pressure acting on the dam. [N] (20 points)

2. Define the height above the base of the dam where this force acts. [N] (15 points)

3. Calculate the moment of this water pressure distribution around the downstream toe of

the dam. [N.m) (15 points)

2/n4. Calculate the weight of the concrete dam. [N]. (20 points)

5. Calculate the moment of this weight around the toe of the dam. [N.m] (15 points)

6. Will the dam fail by rotation in this configuration. [Multiple choice] (15 points)

7. What ratio R = Pc/Pw is needed so that the dam is just stable against this rotational

failure about the toe. [-] (10 points)

End of Question

NOR

A-ba