The governing compressive stress in a concrete gravity dam which shoul...
Question Analysis:
The question asks for the governing compressive stress in a concrete gravity dam while analyzing the full reservoir case. The permissible value for this stress is 3000 KN/m2. The options given are:
a) The vertical maximum stress at the toe
b) The major principal stress at the toe
c) The shear stress at the toe
d) The principal stress at the heel
Answer Explanation:
To determine the governing compressive stress in a concrete gravity dam, we need to analyze the stresses at critical locations. Let's analyze each option given in the question.
a) The vertical maximum stress at the toe:
The vertical maximum stress at the toe is the stress exerted in the vertical direction at the base of the dam. While this stress is important for stability analysis, it does not directly represent the governing compressive stress. Therefore, option a) is incorrect.
b) The major principal stress at the toe:
The major principal stress represents the maximum tensile or compressive stress in a given direction. In a concrete gravity dam, the major principal stress at the toe is the stress that will govern the design and should not exceed the permissible value of 3000 KN/m2. Therefore, option b) is the correct answer.
c) The shear stress at the toe:
The shear stress at the toe represents the resistance to sliding along the base of the dam. While shear stress is important for stability analysis, it does not directly represent the governing compressive stress. Therefore, option c) is incorrect.
d) The principal stress at the heel:
The principal stress at the heel represents the maximum tensile or compressive stress in a given direction at the heel of the dam. While this stress is important for stability analysis, it does not directly represent the governing compressive stress. Therefore, option d) is incorrect.
Conclusion:
The governing compressive stress in a concrete gravity dam, while analyzing the full reservoir case, is the major principal stress at the toe. This stress should not exceed the permissible value of about 3000 KN/m2.
The governing compressive stress in a concrete gravity dam which shoul...
In reservoir full case, the resultant is nearer to the toe and hence, maximum compressive stress is produced at the toe. The vertical direct stress distribution at the base is the sum of the direct stress and the bending stress and is given by the equation – Pmax = V/B [1 + 6e/B] where V is the total vertical force, e is the eccentricity of the resultant force from the center of the base and B is the base width.
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