Fluid Mechanics Dams Problems And Solutions Pdf __top__
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Water doesn't just push against the face of a dam; it also tries to go under it. fluid mechanics dams problems and solutions pdf
Problem Type 1: Vertical Gravity Dam – Hydrostatic Force and Overturning Moment
Scenario: A concrete gravity dam has a vertical upstream face. Water depth at the upstream side is ( H = 30 , m ). The dam width at the base is ( B = 20 , m ). Unit weight of concrete is ( \gamma_c = 24 , kN/m^3 ). Neglect uplift initially. Here are some potential features for a document
The point where the total hydrostatic force is assumed to act. For a rectangular vertical surface: Acts at the depth from the surface. Gravity Force ( The stabilizing weight of the concrete. Hydrostatic Uplift ( Uplift pressure and net moment Water doesn't just
[ M_\textresisting = W \times 7.5 = 7.063 \times 7.5 = 52.97 , \textMN·m ]
wide at the base (triangular section). If water is at the top, find the factor of safety against overturning. Water Force ( cap F sub cap H Overturning Moment ( cap M sub cap O Dam Weight ( Resisting Moment ( cap M sub cap R (Likely unsafe, as it is below the typical threshold). Recommended PDF Resources For comprehensive problem sets and step-by-step solutions: Schaum's 2500 Solved Problems in Fluid Mechanics
- Area ($A$) per unit width = $10,\textm \times 1,\textm = 10,\textm^2$.
- Depth of Centroid ($h_c$) = $5,\textm$ (halfway down).
- Force ($F$) = $\rho g h_c A$. $$F = (1000,\textkg/m^3)(9.81,\textm/s^2)(5,\textm)(10,\textm^2)$$ $$F = 490,500,\textN \approx 490.5,\textkN$$
