Answered: A continuous foundation on a deposit of…

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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A continuous foundation on a deposit of sand layer is shown in below
along with the variation of the cone penetration resistance q_c. Assuming =18 kN/m³ and the creep is at the end of 10 years after construction, calculate the elastic settlement of the foundation using the strain influence factor method. Use equations in the figure.

$This diagram illustrates a soil profile beneath a loaded area and provides information on the ground conditions, as well as necessary equations for analysis. - **Loaded Area**: The ground surface is shown with a vertical load of $ q = 195 \, \text{kN/m}^2 $. The load is applied over a foundation that is embedded 1.5 meters into the ground. - **Soil Layer**: The soil is identified as sand and the depth of analysis extends to 14 meters. - **Depth and Cone Penetration Test Values**: The profile is detailed with cone penetration test values (qc) at different depths: - At 2 meters depth: $ qc = 1750 $. - At 8 meters depth: $ qc = 3450 $. - At 14 meters depth: $ qc = 2900 $. - **Equation Box**: - Settlement can be calculated using the equation: \[ S_c = C_1 C_2 (\bar{q} - q) \sum \frac{I_s}{E_z} \Delta z \] - The modulus of elasticity, $ E_z $, can be estimated as: \[ E_z = 3.5 q_c \, \text{(for L/B ≥ 10)} \] - **Distances**: From the foundation edge to the point under consideration horizontally, the distance is 2.5 meters. This illustration provides a practical framework for analyzing settlement and deformation for foundation engineering applications, using cone penetration test results and engineering formulas.$

Transcribed Image Text:This diagram illustrates a soil profile beneath a loaded area and provides information on the ground conditions, as well as necessary equations for analysis. - **Loaded Area**: The ground surface is shown with a vertical load of $ q = 195 \, \text{kN/m}^2 $. The load is applied over a foundation that is embedded 1.5 meters into the ground. - **Soil Layer**: The soil is identified as sand and the depth of analysis extends to 14 meters. - **Depth and Cone Penetration Test Values**: The profile is detailed with cone penetration test values (qc) at different depths: - At 2 meters depth: $ qc = 1750 $. - At 8 meters depth: $ qc = 3450 $. - At 14 meters depth: $ qc = 2900 $. - **Equation Box**: - Settlement can be calculated using the equation: \[ S_c = C_1 C_2 (\bar{q} - q) \sum \frac{I_s}{E_z} \Delta z \] - The modulus of elasticity, $ E_z $, can be estimated as: \[ E_z = 3.5 q_c \, \text{(for L/B ≥ 10)} \] - **Distances**: From the foundation edge to the point under consideration horizontally, the distance is 2.5 meters. This illustration provides a practical framework for analyzing settlement and deformation for foundation engineering applications, using cone penetration test results and engineering formulas.

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