Answered: 8.2 The results of a laboratory…

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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8.2

$**Laboratory Consolidation Test on a Clay Sample** The results from a laboratory consolidation test on a clay sample are provided in the table below: | Pressure, $ \sigma' $ (ton/ft²) | Void Ratio, $ e $ | |-----------------------------------|---------------------| | 0.24 | 1.112 | | 0.48 | 1.105 | | 0.96 | 1.080 | | 1.92 | 0.985 | | 3.84 | 0.850 | | 7.68 | 0.731 | **Tasks:** a. **Draw an $ e $ versus log $ \sigma' $ plot.** b. **Determine the preconsolidation pressure, $ \sigma'_c $.** c. **Find the compression index, $ C_c $.** --- **Problem 8.3: Soil Profile and Settlement Calculation** A soil profile is depicted in Figure 8.21. Assume a uniformly distributed load $ \Delta \sigma $ is applied at the ground surface. The task is to calculate the settlement of the clay layer due to primary consolidation. The sand above the groundwater table is assumed to be dry. **Given Data:** - $\Delta \sigma = 1000 \, \text{lb/ft}^2$ - $H_1 = 20 \, \text{ft}$ - $H_2 = 17 \, \text{ft}$ - $H_3 = 8 \, \text{ft}$ - Sand: $ \gamma_{\text{dry}} = 110 \, \text{lb/ft}^3$ - Sand: $ \gamma_{\text{sat}} = 115 \, \text{lb/ft}^3$ - Clay: $ \gamma_{\text{sat}} = 120 \, \text{lb/ft}^3$ - Liquid Limit (LL) = 50, Initial Void Ratio ($ e_0 $) = 0.9 - *(Assume the clay to be normally consolidated.)* **Graph/Diagram Instructions:** 1. **Plot Creation**: For task (a), create a semi-logarithmic plot with the void ratio $ e $ on the y$

Transcribed Image Text:**Laboratory Consolidation Test on a Clay Sample** The results from a laboratory consolidation test on a clay sample are provided in the table below: | Pressure, $ \sigma' $ (ton/ft²) | Void Ratio, $ e $ | |-----------------------------------|---------------------| | 0.24 | 1.112 | | 0.48 | 1.105 | | 0.96 | 1.080 | | 1.92 | 0.985 | | 3.84 | 0.850 | | 7.68 | 0.731 | **Tasks:** a. **Draw an $ e $ versus log $ \sigma' $ plot.** b. **Determine the preconsolidation pressure, $ \sigma'_c $.** c. **Find the compression index, $ C_c $.** --- **Problem 8.3: Soil Profile and Settlement Calculation** A soil profile is depicted in Figure 8.21. Assume a uniformly distributed load $ \Delta \sigma $ is applied at the ground surface. The task is to calculate the settlement of the clay layer due to primary consolidation. The sand above the groundwater table is assumed to be dry. **Given Data:** - $\Delta \sigma = 1000 \, \text{lb/ft}^2$ - $H_1 = 20 \, \text{ft}$ - $H_2 = 17 \, \text{ft}$ - $H_3 = 8 \, \text{ft}$ - Sand: $ \gamma_{\text{dry}} = 110 \, \text{lb/ft}^3$ - Sand: $ \gamma_{\text{sat}} = 115 \, \text{lb/ft}^3$ - Clay: $ \gamma_{\text{sat}} = 120 \, \text{lb/ft}^3$ - Liquid Limit (LL) = 50, Initial Void Ratio ($ e_0 $) = 0.9 - *(Assume the clay to be normally consolidated.)* **Graph/Diagram Instructions:** 1. **Plot Creation**: For task (a), create a semi-logarithmic plot with the void ratio $ e $ on the y

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