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7) The upstream face of a concrete dam with a trapezoidal cross section has a SS 1H: 10V,
while the downstream face has a SS 1H:2V. The dam is 52 m high, with a crest width of 7m.
Water stands 50 m at the upstream side. At a distance of 15 m from the toe, drains are
located, at which location the pressure due to hydrostatic at the zero, then increasing
linearly to full hydrostatic at the heel. Specific weights of water and concrete are
respectively, 9.81 KN/m3 and 23.54 KN/m3. Find the :

(a) location of the resultant force;

(b) factors of safety vs. sliding and overturning.

ANS: (a) x = 13.20 m (from the toe / within
the MT)

(b) F.S. vs. Sliding = 1.42; F.S . vs. OT = 1.81

Show solution for checking.

Sagot :

Baseshalleneidn

Answer:

The location of the force resultant is always the center point (centroid) of the distributed load.

For a triangular line load, it can be shown that the force resultant is one half of the peak value of the distributed load multiplied by the distance over which it acts. The location of the force resultant is two-thirds of the distance from the vertex to the peak value of the load.

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