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Analyze the whole section of a concrete gravity dam shown below. The specific weight of the concrete is 23.5 kN/m³ and specific weight of water is 9.81 kN/m³. When the height of the water is 3m, the factor of safety against sliding is 2.50. Determine the minimum coefficient of friction between the dam and the foundation. Using this coef- ficient, compute the factor of safety against sliding, factor of safety against overturning, normal stresses at the heel and toe, and shear stress at the base of the dam when the reservoir is full. Assume there is hydrostatic uplift that varies uniformly from full hy- drostatic head at the heel of the dam to zero at the toe for both cases. Neglect earth- quake forces.

Analyze the whole section of a concrete gravity dam shown below. The specific weight of the concrete is 23.5 kN/m³ and specific weight of water is 9.81 kN/m³. When the height of the water is 3m, the factor of safety against sliding is 2.50. Determine the minimum coefficient of friction between the dam and the foundation. Using this coef- ficient, compute the factor of safety against sliding, factor of safety against overturning, normal stresses at the heel and toe, and shear stress at the base of the dam when the reservoir is full. Assume there is hydrostatic uplift that varies uniformly from full hy- drostatic head at the heel of the dam to zero at the toe for both cases. Neglect earth- quake forces.

Structural Analysis
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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This subject is Water Resources and Coastal Engineering

● ● ● ● ● ● There are two cases to consider. Neglect earthquake and ice pressure forces. Stresses are computed at the base of the dam. The stresses are normal stresses at heel and toe and shear stress about a horizontal plane at the base. The unit of stress is N/m² The computed factors of safety and stresses must be labeled as safe or unsafe. The hydrostatic pressure at the heel has the same value of uplift pressure at the same point. A vertical hydrostatic force must be considered for the sloping upstream face. Divide the dam into volumes for easier computation of weights and centers of gravity. Consider the weights and moments of these portions of the dam separately to easily track errors in the computations.
Transcribed Image Text:● ● ● ● ● ● There are two cases to consider. Neglect earthquake and ice pressure forces. Stresses are computed at the base of the dam. The stresses are normal stresses at heel and toe and shear stress about a horizontal plane at the base. The unit of stress is N/m² The computed factors of safety and stresses must be labeled as safe or unsafe. The hydrostatic pressure at the heel has the same value of uplift pressure at the same point. A vertical hydrostatic force must be considered for the sloping upstream face. Divide the dam into volumes for easier computation of weights and centers of gravity. Consider the weights and moments of these portions of the dam separately to easily track errors in the computations.
PROBLEM Analyze the whole section of a concrete gravity dam shown below. The specific weight of the concrete is 23.5 kN/m³ and specific weight of water is 9.81 kN/m³. When the height of the water is 3m, the factor of safety against sliding is 2.50. Determine the minimum coefficient of friction between the dam and the foundation. Using this coef- ficient, compute the factor of safety against sliding, factor of safety against overturning, normal stresses at the heel and toe, and shear stress at the base of the dam when the reservoir is full. Assume there is hydrostatic uplift that varies uniformly from full hy- drostatic head at the heel of the dam to zero at the toe for both cases. Neglect earth- quake forces. 3 m 6 m 2 m 5m
Transcribed Image Text:PROBLEM Analyze the whole section of a concrete gravity dam shown below. The specific weight of the concrete is 23.5 kN/m³ and specific weight of water is 9.81 kN/m³. When the height of the water is 3m, the factor of safety against sliding is 2.50. Determine the minimum coefficient of friction between the dam and the foundation. Using this coef- ficient, compute the factor of safety against sliding, factor of safety against overturning, normal stresses at the heel and toe, and shear stress at the base of the dam when the reservoir is full. Assume there is hydrostatic uplift that varies uniformly from full hy- drostatic head at the heel of the dam to zero at the toe for both cases. Neglect earth- quake forces. 3 m 6 m 2 m 5m
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