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B C 20 ft Y=110 Ib/ft O= 20° c = 400 Ib/ft 50 25° This question has three parts. For the given slope conditions (ABC) and failure surface (AC) shown in the figure: 1) Calculate the factor of safety against sliding. 2) Calculate the factor of safety if c = 0. 3) Calculate the factor of safety if the groundwater level rises to point A.

B C 20 ft Y=110 Ib/ft O= 20° c = 400 Ib/ft 50 25° This question has three parts. For the given slope conditions (ABC) and failure surface (AC) shown in the figure: 1) Calculate the factor of safety against sliding. 2) Calculate the factor of safety if c = 0. 3) Calculate the factor of safety if the groundwater level rises to point A.

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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This image presents a slope stability analysis problem for educational purposes. The diagram shows a slope composed of three points: A, B, and C, with a failure surface labeled as AC. The slope is inclined at angles of 50° at point A and 25° between points B and C, with a vertical height of 20 ft from point A upwards to the surface level. Material properties are given as: - Unit weight (γ) = 110 lb/ft³ - Angle of internal friction (φ) = 20° - Cohesion (c) = 400 lb/ft² The task involves three parts: 1) Calculate the factor of safety against sliding for the given conditions. 2) Calculate the factor of safety if the cohesion (c) is equal to 0. 3) Calculate the factor of safety if the groundwater level rises to point A. This educational problem focuses on understanding slope stability, the role of cohesion and internal friction in resisting sliding, and the impact of groundwater conditions on the factor of safety.
Transcribed Image Text:This image presents a slope stability analysis problem for educational purposes. The diagram shows a slope composed of three points: A, B, and C, with a failure surface labeled as AC. The slope is inclined at angles of 50° at point A and 25° between points B and C, with a vertical height of 20 ft from point A upwards to the surface level. Material properties are given as: - Unit weight (γ) = 110 lb/ft³ - Angle of internal friction (φ) = 20° - Cohesion (c) = 400 lb/ft² The task involves three parts: 1) Calculate the factor of safety against sliding for the given conditions. 2) Calculate the factor of safety if the cohesion (c) is equal to 0. 3) Calculate the factor of safety if the groundwater level rises to point A. This educational problem focuses on understanding slope stability, the role of cohesion and internal friction in resisting sliding, and the impact of groundwater conditions on the factor of safety.
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