Problem 1: A concrete dam retaining water is shown in the figure below. The head of water on the upstream side (with a vertical face) is 14 m while it has 4m deep of water on the downstream side. Consider a uniformly varying uplift pressure from a 75% effect for both sides. The concrete weighs 23.50 kN/m3 and there's a 0.75 coefficient of friction between the soil and dam foundation. Using the following data: b= 4m, B=20m, z=2.5m, a=3m, c=2m, d32m, and the slope of the inclined portion at the upstream face is 1H:1.50V while that of the downstream portion is 2.50H:4V Determine the a. Total vertical reaction at the base of the structure b. Overturning moment c. Resisting moment d. The line of action of the total vertical reaction from the heel e. Factor of safety against overturning f. Factor of safety against sliding g. Foundation pressure at the heel h. Foundation pressure at the toe

Structural Analysis
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Chapter2: Loads On Structures
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Problem 1: A concrete dam retaining water is shown in the figure below. The head of water on the
upstream side (with a vertical face) is 14 m while it has 4m deep of water on the downstream side.
Consider a uniformly varying uplift pressure from a 75% effect for both sides. The concrete weighs
23.50 kN/m3 and there's a 0.75 coefficient of friction between the soil and dam foundation. Using the
following data: b= 4m, B=20m, z=2.5m, a=3m, c=2m, d=2m, and the slope of the inclined portion at the
upstream face is 1H:1.50V while that of the downstream portion is 2.50H:4V Determine the
a. Total vertical reaction at the base of the structure
b. Overturning moment
c. Resisting moment
d. The line of action of the total vertical reaction from the heel
e. Factor of safety against overturning
Factor of safety against sliding
g. Foundation pressure at the heel
h. Foundation pressure at the toe
f.
Figure:
b
a
d
В
N
Transcribed Image Text:Problem 1: A concrete dam retaining water is shown in the figure below. The head of water on the upstream side (with a vertical face) is 14 m while it has 4m deep of water on the downstream side. Consider a uniformly varying uplift pressure from a 75% effect for both sides. The concrete weighs 23.50 kN/m3 and there's a 0.75 coefficient of friction between the soil and dam foundation. Using the following data: b= 4m, B=20m, z=2.5m, a=3m, c=2m, d=2m, and the slope of the inclined portion at the upstream face is 1H:1.50V while that of the downstream portion is 2.50H:4V Determine the a. Total vertical reaction at the base of the structure b. Overturning moment c. Resisting moment d. The line of action of the total vertical reaction from the heel e. Factor of safety against overturning Factor of safety against sliding g. Foundation pressure at the heel h. Foundation pressure at the toe f. Figure: b a d В N
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