Presentation on theme: "Forces Acting on Dams To design a dam, various forces must be considered to insure the safety of the dam. The most important forces are: Weight of dam."— Presentation transcript:
1 Forces Acting on DamsTo design a dam, various forces must be considered to insure the safety of the dam. The most important forces are:Weight of damWater PressureUpliftWave pressureEarthquake forces
2 Weight of DamThe weight of the dam is calculated as follows:Where γm is the specific weight of the dam’s material.
3 Where γw is the specific weight of water and h is the height of water. Water PressureWater pressure acts perpendicular to the surface of the dam and is calculated per unit width as follows:Where γw is the specific weight of water and h is the height of water.Pwh/3h
4 Dams are subjected to uplift force under its base. Uplift acts upward. Where B is the width of the base of the dam.hUBB/3
5 Where hw is the wave height. Wave PressureThe upper part of the dam (above the water level) is subjected to the impact of waves. The maximum wave pressure per unit width is:Where hw is the wave height.Pw0.375 hwhw
6 Earthquake ForcesDams are subjected to vibration during earthquakes. Vibration affects both the body of the dam and the water in the reservoir behind the dam. Vibration forces are function of both the intensity (Rechter Scale) and its duration. The most danger effect occurs when the vibration is perpendicular to the face of the dam.
7 Body Forces:Body force acts horizontally at the center of gravity and is calculated as:Where α is the earthquake coefficient and W is the weight of the dam Is taken 0.2 for practical reasons.W10.1 W1W20.1 W2
8 Water vibration produces a force on the dam acting horizontally; Water Force:Water vibration produces a force on the dam acting horizontally;Where Ce is another coefficient (0.82) and h is the height of the water2/5 hhPew
9 Calculate the forces on given dam if; Example:Calculate the forces on given dam if;γm = 2.5 t/m3, γw =1 t/m3, hw = 1.5 m6 m10 m33 m30 m24 m
10 1. Weight of water W1=2.5 * 6 * 40 = 600 t W2=2.5 *0.5*18*30 = 675 t 2. Water PressureP = 0.5 * 1.0 * (33)2= tw1w2P