Which of the following criteria has to be satisfied for no tension at ...
The minimum vertical stress Pmin is equal to zero in order to ensure that no tension is developed anywhere. If Pmin = 0, e = B/6 i.e. the maximum value of eccentricity that can be permitted on either side of the center is equal to B/6. This concludes the fact that the resultant of all forces must lie within the middle third of the joint width.
Which of the following criteria has to be satisfied for no tension at ...
**Criteria for no tension at any point on a gravity dam**
To ensure that there is no tension at any point on a gravity dam, a specific criterion must be satisfied. Among the given options, the correct criterion is option B, which states that the resultant force for all conditions of loading must pass through the middle third of the base.
**Explanation:**
A gravity dam is a massive structure that relies on its self-weight to resist the forces acting on it, such as the hydrostatic pressure of the water it holds back. The stability of the dam is crucial to prevent any failure or damage.
One of the critical aspects of dam stability is the prevention of tension. Tension can lead to cracking and failure of the dam. To ensure that there is no tension, the resultant force acting on the dam must pass through a specific region of the base.
The middle third of the base is a significant region for dam stability. If the resultant force passes through this region, it ensures that the compressive forces are distributed uniformly across the base. This prevents any concentration of stress or tension at any specific point.
When the resultant force passes through the middle third of the base, it implies that the dam is in a state of equilibrium. This means that the forces acting on the dam are balanced, and there is no tendency for the dam to rotate or slide.
If the resultant force were to pass outside the middle third of the base, it would create a moment or couple that could lead to rotation or sliding of the dam. This would result in tension at some points, jeopardizing the stability and safety of the structure.
Thus, the criterion that the resultant force for all conditions of loading must pass through the middle third of the base is essential to ensure no tension at any point on a gravity dam.
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