Gravity Dam Design Principles
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Questions and Answers

What is the primary force acting on a gravity dam?

  • Water pressure (correct)
  • The weight of the dam itself
  • Wind load
  • Earthquakes

How does water pressure on a gravity dam change with depth?

  • It increases exponentially with depth.
  • It remains constant with depth.
  • It increases linearly with depth. (correct)
  • It decreases linearly with depth.

What is the formula for calculating the total horizontal water force acting on a gravity dam with a vertical upstream face?

  • $\frac{1}{3} \gamma_w H^3$
  • $\frac{1}{2} \gamma_w H^2$ (correct)
  • $\gamma_w H^3$
  • $\gamma_w H$

Which of these are classified as secondary loads on a gravity dam?

<p>Wind load (C)</p> Signup and view all the answers

Why is earthquake resistance a crucial factor in the design of gravity dams?

<p>Earthquakes can induce significant stresses and potentially cause structural failure. (B)</p> Signup and view all the answers

What is the primary reason for regular inspections and testing of gravity dams after major earthquakes?

<p>To ensure the dam has not sustained any cracks, weakening, or damage. (A)</p> Signup and view all the answers

What is the primary reason gravity dams are considered very durable and require minimal maintenance?

<p>Their massive weight and simple design make them inherently resilient. (C)</p> Signup and view all the answers

What is the difference between the water load calculations for a vertical upstream face and a partially inclined upstream face?

<p>The calculation for a vertical face involves a single force, while the inclined face needs a horizontal and vertical component. (A)</p> Signup and view all the answers

What causes a tension crack to occur at the upstream edge (heel) of a dam during overturning failure?

<p>The resultant force passing outside the outer middle third of the dam's base. (A)</p> Signup and view all the answers

What is the factor of safety (Fo) against overturning failure when the resultant force strikes the middle third point (e = B/6)?

<p>2.0 (B)</p> Signup and view all the answers

Which of the following factors resist sliding failure of a dam?

<p>All of the above (D)</p> Signup and view all the answers

What is the minimum acceptable factor of safety against sliding (Fs)?

<p>1.0 (B)</p> Signup and view all the answers

What is the typical range for the coefficient of friction (µ) between the dam and its foundation?

<p>0.65 to 0.75 (B)</p> Signup and view all the answers

Which of the following is NOT a common type of dam failure?

<p>Erosion failure (C)</p> Signup and view all the answers

What happens to the effective width of a dam if a tension crack develops at the heel?

<p>It decreases (C)</p> Signup and view all the answers

What is the primary cause of crushing (compression) failure in a dam?

<p>Compression stress exceeding safe limits (A)</p> Signup and view all the answers

What is the formula for calculating the self-weight load of the dam when the upstream face is vertical?

<p>$W1 = \gamma_c * A1$ (D)</p> Signup and view all the answers

Which of the following defines the condition when there is no drainage gallery and no tail water on the downstream side of the dam?

<p>Uplift pressure is triangular. (D)</p> Signup and view all the answers

What is the impact of uplift forces on the stability of a dam?

<p>They reduce the effective downward weight of the dam. (C)</p> Signup and view all the answers

How is the uplift force calculated when there is a drainage gallery provided and tail water is present?

<p>Uplift force is calculated based on triangle area. (C)</p> Signup and view all the answers

In the case where the upstream face of the dam is partially inclined, what is the expression for the weight load $W1$?

<p>$W1 = \frac{1}{2} \gamma_c * DH * CH$ (B)</p> Signup and view all the answers

What is considered the primary stabilizing force in a gravity dam?

<p>Weight of the dam (B)</p> Signup and view all the answers

How is water seepage significantly characterized in relation to uplift loads?

<p>It travels through the entire dam body. (D)</p> Signup and view all the answers

What must a dam be designed to ensure according to stability requirements?

<p>It should be safe against all possible modes of failure. (B)</p> Signup and view all the answers

Flashcards

Gravity Dam

A dam designed to resist external forces primarily through its own weight.

Primary Loads

Forces that are crucial for all dam types, regardless of design.

Water Pressure

The pressure exerted by water stored on the upstream side of a dam.

Water Load on Vertical Upstream Face

The force exerted by the weight of water on a vertical upstream face of a dam.

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Water Load on Inclined and Vertical Upstream Face

When the upstream face is partly inclined and partly vertical, the water force can be broken down into horizontal and vertical components.

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Secondary Loads

Forces that are important but less significant than primary loads, acting on all dam types.

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Exceptional Loads

Forces that are designed for with limited applicability, typically occurring rarely.

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Earthquakes and Gravity Dams

Earthquakes are a major risk to gravity dams, requiring regular inspections and testing for structural integrity.

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Upstream Water Force

The force exerted by water on the upstream face of a gravity dam, calculated as half the product of water density, gravity, and the square of the water depth.

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Downstream Water Force

The force exerted by water on the downstream face of a gravity dam, calculated as half the product of water density, gravity, and the square of the tailwater depth.

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Self-Weight of Dam

The self-weight of the dam, which acts as a stabilizing force, is calculated by multiplying the dam's cross-sectional area by the unit weight of the concrete.

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Uplift Pressure

Uplift pressure is the force exerted by water seeping through the dam's foundation and body, reducing the effective weight of the dam and potentially causing instability.

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Drainage Gallery

A drainage gallery is a channel within the dam's foundation that helps to minimize uplift pressure by collecting and draining water.

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Gravity Dam Stability

The stability of a gravity dam depends on its ability to withstand the combined forces of water pressure, self-weight, and uplift pressure.

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Gravity Dam Failure Modes

A gravity dam typically fails when the forces acting on it exceed its capacity to withstand them, leading to overturning, sliding, or cracking.

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Safety Factors in Gravity Dam Design

The design of gravity dams includes safety factors to ensure that the dam can withstand extreme conditions and potential overloading.

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Overturning Failure

Occurs when the resultant force acting on the dam's base falls outside the middle third of the base, leading to tension cracks at the upstream edge.

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Factor of Safety (Fo) against Overturning

The factor of safety against overturning is calculated as the ratio of the stabilizing moment to the overturning moment.

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Sliding Failure

Occurs when the dam slides along its base due to insufficient resistance from friction and shear strength.

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Factor of Safety (Fs) against Sliding

The factor of safety against sliding is calculated as the ratio of the force resisting sliding to the force causing sliding.

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Coefficient of Friction (µ)

The coefficient of friction between the dam and its foundation, influencing the resistance to sliding.

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Crushing (Compression) Failure

Caused by excessive compressive stress in the dam or its foundation, exceeding the material's safe limit.

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Eccentricity (e)

The distance between the center of the dam's base and the point where the resultant force acts.

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Tension Crack

A tension crack does not cause immediate failure, but it can weaken the dam and contribute to overturning or crushing failure.

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Study Notes

Gravity Dam Design Principles

  • A gravity dam is a structure designed so its own weight resists external forces.
  • This design makes it a durable and low-maintenance structure.

Types of Loads on Gravity Dams

  • Loads are classified as primary, secondary, or exceptional, based on their importance and applicability.

Primary Loads

  • These are major loads impacting all dams regardless of type.
  • Water load: The horizontal water pressure exerted by the water on the upstream dam face. This pressure distribution is triangular.
  • Self weight load: The weight of the dam itself. This is a stabilizing force.
  • Related seepage (uplift) load: Pressure exerted by water seeping through the dam and foundation.

Secondary Loads

  • These loads are generally applicable, but of lesser magnitude.
  • Sediment load: Forces due to sediment buildup in the reservoir.
  • Wind load: Forces exerted by wind.
  • Ice load: Forces due to ice buildup.
  • Silt load: Forces due to silt buildup in the reservoir.
  • Thermal and dam foundation interaction effect: Thermal expansion and contraction of the dam.

Exceptional Loads

  • These are unpredictable and significant, typically related to earthquakes.
  • Earthquake loads: Forces due to seismic activity. These are a primary concern in dam design and require testing after earthquakes.

Water Loads

  • Water pressure (P) is the major external force on a dam.
  • The horizontal water pressure depends on the depth of the water (hydrostatic pressure distribution). The shape is a triangle.
  • Two cases exist to estimate water loads: upstream face is either vertical or partly inclined and partly vertical.

Case 1: Vertical Upstream Face

  • Intensity is zero at the water surface and equal to H at the base.
  • Resultant force = 1/2 *w *H^2, acting at H/3 from the base.
  • w = unit weight of water, H = depth (MWL - maximum water level)

Case 2: Inclined Upstream Face

  • The resulting water force can be resolved into horizontal and vertical components.
  • Forces can be calculated on both upstream and downstream faces.

Self-Weight Loads

  • The dam's weight is a main stabilizing force.
  • The weight is equal to the dam's cross-sectional area multiplied by the unit weight of the material.
  • Two cases exist : the upstream face is vertical.

Uplift (Seepage) Loads

  • Water seeping through the dam's pores, foundation, and joints exerts uplift pressure.
  • This pressure acts to reduce the dam's stabilizing force.
  • Several cases exist to calculate the uplift pressure in dams:
  • No drainage, no tailwater (triangle shape)
  • No drainage, tailwater present.
  • Drainage gallery present, tail water present,

Stability Requirements of Gravity Dams

  • The dam must be structurally stable to withstand stresses from imposed loads.
  • The foundation must be strong enough to carry the loads.
  • The dam must be safe against all possible failure modes with an adequate safety factor..

Possible Failure Modes

  • Overturning failure.
  • Sliding failure.
  • Tension failure.
  • Crushing (compression) failure.

Overturning failure:

  • Occurs when the resultant of all forces acts outside the base.
  • A factor of safety of more than 1.25 may be acceptable but is generally not ideal.

Sliding failure:

  • Occurs when the dam slides along its base.
  • The factor of safety against sliding should be greater than 1..

Tension failure:

  • Develops at the dam's upstream edge (heel) when the resultant force acts outside the middle third.

Crushing (compression) failure:

  • Occurs when the vertical stress in the dam and foundation exceeds safe limits.
  • The eccentricity of the resultant force is key to calculate this type of failure.

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Description

This quiz explores the fundamental principles of gravity dam design, including the various types of loads that affect their stability. You will learn about primary and secondary loads, such as water pressure and wind forces, and how these elements influence dam construction and maintenance. Test your knowledge on this vital topic in civil engineering.

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