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The 2.5 m x 3.5 m rectangular spread footing placed at a depth of 1.5 m supports a vertical load of 4000 kN and a moment of 400 KN-m, as shown in Figure 2. Determine the factor of safety, against bearing capacity failure, using Meyerhof's effective area method. 4000 KN Clayey Sand y = 17.5 kN/m³ c'= 7 kN/m³ $' = 30° 2.5 m 400 kN-m Figure 2 1.5 m

The 2.5 m x 3.5 m rectangular spread footing placed at a depth of 1.5 m supports a vertical load of 4000 kN and a moment of 400 KN-m, as shown in Figure 2. Determine the factor of safety, against bearing capacity failure, using Meyerhof's effective area method. 4000 KN Clayey Sand y = 17.5 kN/m³ c'= 7 kN/m³ $' = 30° 2.5 m 400 kN-m Figure 2 1.5 m

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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The 2.5 m x 3.5 m rectangular spread footing placed at a depth of 1.5 m supports a vertical load of 4000 kN and a moment of 400 KN-m, as shown in Figure 2. Determine the factor of safety, against bearing capacity failure, using Meyerhof’s effective area method.

**Transcription for Educational Website** --- **Title: Determining the Factor of Safety for a Rectangular Spread Footing** **Problem Statement:** A 2.5 m x 3.5 m rectangular spread footing is located at a depth of 1.5 m and subject to a vertical load of 4000 kN and a moment of 400 kN-m, as illustrated in Figure 2. The objective is to determine the factor of safety against bearing capacity failure using Meyerhof’s effective area method. **Soil Properties:** - **Soil Type:** Clayey Sand - **Unit Weight (γ):** 17.5 kN/m³ - **Cohesion (c'):** 7 kN/m² - **Angle of Internal Friction (ϕ’):** 30° **Diagram Explanation:** The diagram shows a vertical cross-section of the footing setup: - The footing has a width of 2.5 m. - A depth of 1.5 m from the ground surface to the base. - The vertical load applied is 4000 kN, and it also endures a moment of 400 kN-m. - The diagram visually represents these forces and the dimensions of the footing. **Figure 2:** - Displays a simplified representation of the rectangular spread footing and associated load conditions. By following Meyerhof's effective area method, the calculations will focus on evaluating the stability of the footing against bearing capacity failure, ensuring a safe and efficient design.
Transcribed Image Text:**Transcription for Educational Website** --- **Title: Determining the Factor of Safety for a Rectangular Spread Footing** **Problem Statement:** A 2.5 m x 3.5 m rectangular spread footing is located at a depth of 1.5 m and subject to a vertical load of 4000 kN and a moment of 400 kN-m, as illustrated in Figure 2. The objective is to determine the factor of safety against bearing capacity failure using Meyerhof’s effective area method. **Soil Properties:** - **Soil Type:** Clayey Sand - **Unit Weight (γ):** 17.5 kN/m³ - **Cohesion (c'):** 7 kN/m² - **Angle of Internal Friction (ϕ’):** 30° **Diagram Explanation:** The diagram shows a vertical cross-section of the footing setup: - The footing has a width of 2.5 m. - A depth of 1.5 m from the ground surface to the base. - The vertical load applied is 4000 kN, and it also endures a moment of 400 kN-m. - The diagram visually represents these forces and the dimensions of the footing. **Figure 2:** - Displays a simplified representation of the rectangular spread footing and associated load conditions. By following Meyerhof's effective area method, the calculations will focus on evaluating the stability of the footing against bearing capacity failure, ensuring a safe and efficient design.
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