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The elastic settlement below the center of the tank at z = 0 and 3m. The elastic settlement at (i) z = 1.5m, s = 0; (ii) z = 1.5m, s = 3m. ssume that y=03 F = 36MN/m² R = 6m and a = 1451-²

The elastic settlement below the center of the tank at z = 0 and 3m. The elastic settlement at (i) z = 1.5m, s = 0; (ii) z = 1.5m, s = 3m. ssume that y=03 F = 36MN/m² R = 6m and a = 1451-²

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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3.11 An oil storage tank that is circular in plan is to be constructed over a layer of sand, as shown in Figure P3.5. Calculate the following settlements due to the uniformly distributed load \( q \) of the storage tank: (a) The elastic settlement below the center of the tank at \( z = 0 \) and 3m. (b) The elastic settlement at (i) \( z = 1.5 \, \text{m}, \, s = 0 \); (ii) \( z = 1.5 \, \text{m}, \, s = 3 \, \text{m} \). Assume that \( \nu = 0.3, \, E = 36 \, \text{MN/m}^2, \, B = 6 \, \text{m}, \) and \( q = 145 \, \text{kN/m}^2 \). **Figure P3.5 Explanation:** The diagram shows a cross-section of the circular oil storage tank on a sand layer. The figure illustrates: - **Diameter:** Denoted as \( B \). - **Center line:** A vertical line at the tank's center. - **Load \( q \):** The uniformly distributed load acting vertically downward. Beneath the surface, the diagram shows a sand layer with the following properties: - **Unit weight:** Denoted as \( \gamma \). - **Poisson's ratio:** Denoted as \( \nu \). - **Modulus of elasticity:** Denoted as \( E \). The \( z \)-axis represents depth, indicating where settlements are to be calculated.
Transcribed Image Text:3.11 An oil storage tank that is circular in plan is to be constructed over a layer of sand, as shown in Figure P3.5. Calculate the following settlements due to the uniformly distributed load \( q \) of the storage tank: (a) The elastic settlement below the center of the tank at \( z = 0 \) and 3m. (b) The elastic settlement at (i) \( z = 1.5 \, \text{m}, \, s = 0 \); (ii) \( z = 1.5 \, \text{m}, \, s = 3 \, \text{m} \). Assume that \( \nu = 0.3, \, E = 36 \, \text{MN/m}^2, \, B = 6 \, \text{m}, \) and \( q = 145 \, \text{kN/m}^2 \). **Figure P3.5 Explanation:** The diagram shows a cross-section of the circular oil storage tank on a sand layer. The figure illustrates: - **Diameter:** Denoted as \( B \). - **Center line:** A vertical line at the tank's center. - **Load \( q \):** The uniformly distributed load acting vertically downward. Beneath the surface, the diagram shows a sand layer with the following properties: - **Unit weight:** Denoted as \( \gamma \). - **Poisson's ratio:** Denoted as \( \nu \). - **Modulus of elasticity:** Denoted as \( E \). The \( z \)-axis represents depth, indicating where settlements are to be calculated.
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