3. ### Educational Content: Analyzing Pressure Forces on a Concrete DamThe cross section of a concrete dam is illustrated in the accompanying figure. It is crucial for students studying civil engineering to understand the forces exerted on structures by fluids.#### Key Parameters:- **Section Width**: Consider a 1-ft-wide section of the dam.- **Height (h)**: Taken as 13.5 ft.- **Specific Weight of Fresh Water (γ)**: 62.4 lb/ft³.- **Specific Weight of Concrete (γc)**: 150 lb/ft³.#### Diagram Explanation:The figure depicts a trapezoidal section of the dam. The dimensions shown are:- The base of the trapezoid at point A is 9 ft.- The top portion from point A to the vertical side at point C is 6 ft.- The vertical distance from point B to the water level is 18 ft.**Structure Layout:**- **Left Side (A)**: 9 ft base- **Center Width**: 6 ft- **Right Side (B to C)**: Water height is 18 ft#### Problem StatementThe task is to determine the resultant of the pressure forces exerted by the water on the vertical face BC of the dam. This requires a clear understanding of hydrostatic pressure principles._For educational practice:_- Calculate how the water pressure applies force against the dam face and the resultant vector direction.#### Interactive ComponentStudents are required to input their answer for the calculation of the resultant pressure force in kips (kilo-pounds) and select the direction in degrees. This encourages engagement with real-world engineering calculations.---This module is part of a comprehensive curriculum designed to enhance understanding of fluid mechanics in civil engineering contexts.

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Author:Sadiku, Matthew N. O.

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Question

### Educational Content: Analyzing Pressure Forces on a Concrete Dam

The cross section of a concrete dam is illustrated in the accompanying figure. It is crucial for students studying civil engineering to understand the forces exerted on structures by fluids.

#### Key Parameters:

- **Section Width**: Consider a 1-ft-wide section of the dam.
- **Height (h)**: Taken as 13.5 ft.
- **Specific Weight of Fresh Water (γ)**: 62.4 lb/ft³.
- **Specific Weight of Concrete (γc)**: 150 lb/ft³.

#### Diagram Explanation:

The figure depicts a trapezoidal section of the dam. The dimensions shown are:
- The base of the trapezoid at point A is 9 ft.
- The top portion from point A to the vertical side at point C is 6 ft.
- The vertical distance from point B to the water level is 18 ft.

**Structure Layout:**
- **Left Side (A)**: 9 ft base
- **Center Width**: 6 ft
- **Right Side (B to C)**: Water height is 18 ft

#### Problem Statement

The task is to determine the resultant of the pressure forces exerted by the water on the vertical face BC of the dam. This requires a clear understanding of hydrostatic pressure principles.

_For educational practice:_
- Calculate how the water pressure applies force against the dam face and the resultant vector direction.

#### Interactive Component

Students are required to input their answer for the calculation of the resultant pressure force in kips (kilo-pounds) and select the direction in degrees. This encourages engagement with real-world engineering calculations.

---

This module is part of a comprehensive curriculum designed to enhance understanding of fluid mechanics in civil engineering contexts.

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