For the soil elements shown below, determine the maximum and minimum principal stress and the normal and shear stresses on plane AB. Use the graphical solution. Draw your Mohr circle neatly with a compass (or Autocad), NO HAND DRAWINGS OR SKETCHES. Use proper axis - scaling.
For the soil elements shown below, determine the maximum and minimum principal stress and the normal and shear stresses on plane AB. Use the graphical solution. Draw your Mohr circle neatly with a compass (or Autocad), NO HAND DRAWINGS OR SKETCHES. Use proper axis - scaling.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![For the soil elements shown below, determine the maximum and minimum principal stress and the normal and shear stresses on plane AB. Use the **graphical solution**. Draw your Mohr circle neatly with a compass (or Autocad), NO HAND DRAWINGS OR SKETCHES. Use proper axis – scaling.
### Diagram Explanation
#### Left Diagram:
- **Element Orientation**: The element is oriented with a diagonal line labeled plane AB.
- **Stresses**:
- Vertical stress: 400 lb/ft² (compressive downward) at the top, 800 lb/ft² (compressive upward) at the bottom.
- Horizontal stress: 300 lb/ft² (compressive leftward) on both sides.
- **Shear Stress**: 750 lb/ft² acting clockwise.
- **Angle**: 45° relative to the horizontal for plane AB.
#### Right Diagram:
- **Element Orientation**: The element shows a diagonal labeled plane AB.
- **Stresses**:
- Vertical stress: 125 lb/ft² at the top, 300 lb/ft² at the bottom.
- Horizontal stress: 55 lb/ft² (compressive leftward) on both sides.
- **Angle**: 20° relative to the horizontal for plane AB.
These diagrams illustrate the state of stress on two different soil elements, requiring the graphical solution of Mohr's circle to determine principal stresses and planes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96185938-e49e-448a-911c-2f59949ef5b7%2F53ef0661-708e-407c-bc2f-e7f1e93a0df6%2Fknz9hko_processed.png&w=3840&q=75)
Transcribed Image Text:For the soil elements shown below, determine the maximum and minimum principal stress and the normal and shear stresses on plane AB. Use the **graphical solution**. Draw your Mohr circle neatly with a compass (or Autocad), NO HAND DRAWINGS OR SKETCHES. Use proper axis – scaling.
### Diagram Explanation
#### Left Diagram:
- **Element Orientation**: The element is oriented with a diagonal line labeled plane AB.
- **Stresses**:
- Vertical stress: 400 lb/ft² (compressive downward) at the top, 800 lb/ft² (compressive upward) at the bottom.
- Horizontal stress: 300 lb/ft² (compressive leftward) on both sides.
- **Shear Stress**: 750 lb/ft² acting clockwise.
- **Angle**: 45° relative to the horizontal for plane AB.
#### Right Diagram:
- **Element Orientation**: The element shows a diagonal labeled plane AB.
- **Stresses**:
- Vertical stress: 125 lb/ft² at the top, 300 lb/ft² at the bottom.
- Horizontal stress: 55 lb/ft² (compressive leftward) on both sides.
- **Angle**: 20° relative to the horizontal for plane AB.
These diagrams illustrate the state of stress on two different soil elements, requiring the graphical solution of Mohr's circle to determine principal stresses and planes.
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