### Problem Statement:**Objective:**Compute the factor of safety against a bearing capacity failure for the 3 m square concrete footing shown below. The groundwater table is 2.5 m below the ground surface. Use Vesic’s bearing capacity formula. [Course Objective #2]**Calculations Required:**- **3a.** Intermediate calculation - Enter the applied bearing pressure ($q$) in kPa.- **3b.** Intermediate calculation - Enter the ultimate bearing capacity ($q_{ult}$) in kPa.- **3c.** Final calculation - Enter the factor of safety.### Diagram Explanation:- **Structure:** - A footing with a width of 3 m supports a load ($P$) of 6025 kN. - The footing is embedded 0.75 m below the ground surface.- **Ground Conditions:** - Above the groundwater table: Soil type (SW) with characteristics: - Unit weight ($\gamma$) ≈ 18 kN/m³ - Cohesion ($c'$) = 0 kPa - Friction angle ($\phi'$) = 36° - Below the groundwater table: Soil type (SM) with characteristics: - Unit weight ($\gamma$) ≈ 18.5 kN/m³ - Cohesion ($c'$) = 3 kPa - Friction angle ($\phi'$) = 30°- **Groundwater Table:** - Positioned 2.5 m below the ground surface.### Task Overview:Calculate bearing pressures and safety factor using the given soil parameters and load information. Apply Vesic’s bearing capacity formula to determine the required values step-by-step.

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3. Compute the factor of safety against a bearing capacity failure for the 3 m square concrete footing shown below. The groundwater table is 2.5 m below the ground surface. Use Vesic's bearing capacity formula. [Course Objective #2] 3a. Intermediate calculation - enter the applied bearing pressure (q) in kPa. 3b. Intermediate calculation - enter the ultimate bearing capacity (quit) in kPa. 3c. Final calculation - enter the factor of safety. 2.5 m 0.75 m P = 6025 KN 3 m SW, y≈ 18 kN/m³ c' = 0 kPa $' = 36° SM, y≈ 18.5 kN/m³ c' = 3 kPa $' = 30°

3. Compute the factor of safety against a bearing capacity failure for the 3 m square concrete footing shown below. The groundwater table is 2.5 m below the ground surface. Use Vesic's bearing capacity formula. [Course Objective #2] 3a. Intermediate calculation - enter the applied bearing pressure (q) in kPa. 3b. Intermediate calculation - enter the ultimate bearing capacity (quit) in kPa. 3c. Final calculation - enter the factor of safety. 2.5 m 0.75 m P = 6025 KN 3 m SW, y≈ 18 kN/m³ c' = 0 kPa $' = 36° SM, y≈ 18.5 kN/m³ c' = 3 kPa $' = 30°

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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