3. A trapezoidal masonry dam with vertical upstream face is 6m high 0.6m at the top in 3m wide of the bottom. Wt. concrete is 23.5 kN/cu.m A. Find the depth of water on the vertical upstream face if the pressure at the toe is twice the average pressure at the base. B. Using the computed depth of water. Compute the hydrostatic uplift force if the uplift varies from full hydrostatic pressure at the heel to zero at the toe. C. Compute the factor of safety against sliding if the coefficient of friction is equal to 0.80. Consider the hydrostatic uplift.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 3: Analysis of a Trapezoidal Masonry Dam**

A trapezoidal masonry dam has the following characteristics:
- Vertical upstream face
- Height: 6 meters
- Width at the top: 0.6 meters
- Width at the bottom: 3 meters
- Weight of concrete: 23.5 kN/cu.m

**Tasks:**

A. **Depth of Water Calculation:**
   - Determine the depth of water on the vertical upstream face when the pressure at the toe is twice the average pressure at the base.

B. **Hydrostatic Uplift Force Calculation:**
   - Using the depth of water determined in part A, calculate the hydrostatic uplift force. Assume the uplift varies linearly from full hydrostatic pressure at the heel to zero at the toe.

C. **Factor of Safety Against Sliding:**
   - Calculate the factor of safety against sliding, given the coefficient of friction is 0.80. Consider hydrostatic uplift in your calculations.
Transcribed Image Text:**Problem 3: Analysis of a Trapezoidal Masonry Dam** A trapezoidal masonry dam has the following characteristics: - Vertical upstream face - Height: 6 meters - Width at the top: 0.6 meters - Width at the bottom: 3 meters - Weight of concrete: 23.5 kN/cu.m **Tasks:** A. **Depth of Water Calculation:** - Determine the depth of water on the vertical upstream face when the pressure at the toe is twice the average pressure at the base. B. **Hydrostatic Uplift Force Calculation:** - Using the depth of water determined in part A, calculate the hydrostatic uplift force. Assume the uplift varies linearly from full hydrostatic pressure at the heel to zero at the toe. C. **Factor of Safety Against Sliding:** - Calculate the factor of safety against sliding, given the coefficient of friction is 0.80. Consider hydrostatic uplift in your calculations.
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