For #1-4, assume there is a 3 m deep soil (in the slope-normal direction) with a density of 1600 kg/m³, cohesion of 18 kPa, and friction angle of 25°. The potential failure plane is the soil-bedrock interface, which is parallel to the surface and has a slope of 35°. As usual acceleration due to gravity is 9.8 m/s², and water has a density of 1000 kg/m³. 1. What is the hillslope's factor of safety under dry conditions, to the nearest tenth? 2. What is the hillslope's factor of safety to the nearest tenth when the water table has a height of 1.5 m above the soil-bedrock interface (in the slope-normal direction)? 3. What is the hillslope's factor of safety to the nearest tenth if the soil is fully saturated? 4. What water table height (in the slope-normal direction) would be required to trigger the landslide, to the nearest tenth of a meter?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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For #1-4, assume there is a 3 m deep soil (in the slope-normal direction) with a density of
1600 kg/m³, cohesion of 18 kPa, and friction angle of 25°. The potential failure plane is the
soil-bedrock interface, which is parallel to the surface and has a slope of 35°. As usual
acceleration due to gravity is 9.8 m/s², and water has a density of 1000 kg/m³.
1. What is the hillslope's factor of safety under dry conditions, to the nearest tenth?
2. What is the hillslope's factor of safety to the nearest tenth when the water table has
a height of 1.5 m above the soil-bedrock interface (in the slope-normal direction)?
3. What is the hillslope's factor of safety to the nearest tenth if the soil is fully
saturated?
4. What water table height (in the slope-normal direction) would be required to
trigger the landslide, to the nearest tenth of a meter?
Transcribed Image Text:For #1-4, assume there is a 3 m deep soil (in the slope-normal direction) with a density of 1600 kg/m³, cohesion of 18 kPa, and friction angle of 25°. The potential failure plane is the soil-bedrock interface, which is parallel to the surface and has a slope of 35°. As usual acceleration due to gravity is 9.8 m/s², and water has a density of 1000 kg/m³. 1. What is the hillslope's factor of safety under dry conditions, to the nearest tenth? 2. What is the hillslope's factor of safety to the nearest tenth when the water table has a height of 1.5 m above the soil-bedrock interface (in the slope-normal direction)? 3. What is the hillslope's factor of safety to the nearest tenth if the soil is fully saturated? 4. What water table height (in the slope-normal direction) would be required to trigger the landslide, to the nearest tenth of a meter?
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