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.
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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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
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