Given the following foundation configuration find the change in stress 6ft below grade at points 1 through 5, use the m, n method and assume the load applied is 450 kips. 1 16ft 3ft 8ft 4 7ft 4ft 8ft 3.
Given the following foundation configuration find the change in stress 6ft below grade at points 1 through 5, use the m, n method and assume the load applied is 450 kips. 1 16ft 3ft 8ft 4 7ft 4ft 8ft 3.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Foundation Configuration and Stress Change Analysis
**Problem Statement:**
Given the following foundation configuration, find the change in stress 6 feet below grade at points 1 through 5 using the m, n method. The load applied is 450 kips.
**Diagram:**
The diagram shows the following points with specified distances between them:
- Point 1 to Point 2: 16 ft horizontally.
- Point 1 to Point 3: 3 ft vertically downward.
- Point 3 to Point 4: 8 ft horizontally.
- Point 4 to Point 2: 7 ft vertically upward.
- Point 3 to Point 5: 4 ft vertically downward.
- Point 4 to Point 5: 8 ft horizontally.
Below, is a detailed explanation of the diagram:
- **Points:** Five points (1, 2, 3, 4, 5) with specific coordinates in a Cartesian plane.
- Point 1 and Point 2 are aligned horizontally with a distance of 16 ft.
- Point 1 and Point 3 are aligned vertically downward with a distance of 3 ft.
- Point 3 and Point 4 are aligned horizontally with a distance of 8 ft.
- Point 4 and Point 2 are aligned vertically upward with a distance of 7 ft.
- Point 3 and Point 5 are aligned vertically downward with a distance of 4 ft.
- Point 4 and Point 5 are aligned horizontally with a distance of 8 ft.
**Objective:**
Using the m, n method, determine the changes in stress at each of the five points 6 feet below grade, considering a total applied load of 450 kips.
**Methodology:**
1. **Determine Coordinates of Points Relative to Foundation**
- Establish a coordinate system with the given distances between points.
2. **Apply the m, n Method**
- Use the given load and specific points to calculate changes in stress.
3. **Calculation of Stress Change**
- Calculate the vertical stress changes at each of the specified points.
This involves a detailed application of soil mechanics, understanding the stress distribution beneath a loaded area, and using specific methods for accurate engineering analysis and design.
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