Question:
The force of friction between the dam and soil to avoid sliding of masonry dam should be more than the water pressure per meter length by at least
The force of friction between the dam and soil to avoid sliding of masonry dam should be more than the water pressure per meter length by at least
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For masonry dams, remember the standard stability requirements:
• Factor of Safety against Sliding \(\ge 1.5\)
• Factor of Safety against Overturning \(\ge 2\) These values are frequently asked in Engineering Mechanics and Hydraulics examinations.
• Factor of Safety against Sliding \(\ge 1.5\)
• Factor of Safety against Overturning \(\ge 2\) These values are frequently asked in Engineering Mechanics and Hydraulics examinations.
Updated On: Jul 23, 2026
- \(3\) times
- \(1.5\) times
- \(2\) times
- \(2.5\) times
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The Correct Option is B
Solution and Explanation
Concept:
A masonry dam must be safe against sliding due to the horizontal water pressure acting on its upstream face.
The resisting force against sliding is the friction developed between the base of the dam and the foundation soil or rock.
The factor of safety against sliding is defined as
\[
\boxed{\text{FOS}=\frac{\text{Resisting frictional force}}{\text{Horizontal water pressure}}.}
\]
For a safe design of a masonry dam,
\[
\boxed{\text{Factor of Safety against sliding} \ge 1.5.}
\]
Step 1: Identify the resisting force. The frictional resistance at the base of the dam is \[ F=\mu W, \] where \[ \mu=\text{coefficient of friction}, \] and \[ W=\text{weight of the dam}. \] This frictional force resists the horizontal water pressure.
Step 2: Apply the safety criterion. To prevent sliding, \[ \frac{\text{Frictional resistance}}{\text{Water pressure}} \ge 1.5. \] Hence, the frictional force should be at least \[ 1.5 \] times the water pressure. Therefore, \[ \boxed{\text{Frictional force} \ge 1.5 \times \text{Water pressure}.} \] Thus, the correct option is \[ \boxed{(B)\;1.5\text{ times}.} \]
Step 1: Identify the resisting force. The frictional resistance at the base of the dam is \[ F=\mu W, \] where \[ \mu=\text{coefficient of friction}, \] and \[ W=\text{weight of the dam}. \] This frictional force resists the horizontal water pressure.
Step 2: Apply the safety criterion. To prevent sliding, \[ \frac{\text{Frictional resistance}}{\text{Water pressure}} \ge 1.5. \] Hence, the frictional force should be at least \[ 1.5 \] times the water pressure. Therefore, \[ \boxed{\text{Frictional force} \ge 1.5 \times \text{Water pressure}.} \] Thus, the correct option is \[ \boxed{(B)\;1.5\text{ times}.} \]
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