---### Triaxial Test AnalysisA series of consolidated-drained (CD) triaxial tests were performed on soil samples with the same initial density. Each test was continued until failure. The following data was recorded:| Test Number | σ₃' (kPa) | σ₁' (kPa) ||-------------|------------|------------|| 1 | 200 | 570 || 2 | 300 | 875 || 3 | 400 | 1162 |Plot the relevant Mohr stress circles and determine the effective/drained shear strength parameters.**Explanation for Graphs/Diagrams:**The data provided must be used to plot Mohr stress circles. The circles should be plotted with the normal stress (σ) on the x-axis and shear stress (τ) on the y-axis. Each circle represents the state of stress at failure for different tests:1. **Test 1:** - Center: ((σ₁' + σ₃') / 2, 0) = ((570 + 200) / 2, 0) = (385, 0) - Radius: (σ₁' - σ₃') / 2 = (570 - 200) / 2 = 185 2. **Test 2:** - Center: ((σ₁' + σ₃') / 2, 0) = ((875 + 300) / 2, 0) = (587.5, 0) - Radius: (σ₁' - σ₃') / 2 = (875 - 300) / 2 = 287.5 3. **Test 3:** - Center: ((σ₁' + σ₃') / 2, 0) = ((1162 + 400) / 2, 0) = (781, 0) - Radius: (σ₁' - σ₃') / 2 = (1162 - 400) / 2 = 381From these plots, the effective cohesion (c') and effective angle of internal friction (φ') can be determined by drawing the tangent to the Mohr circles at failure. The tangent line's y-intercept will give the effective cohesion, while the angle θ formed with the x

Results of the consolidated drained test

A series of consolidated-drained (CD) triaxial tests were performed on the soil with same initial density. Each test was continued until failure. Following data was recorded. Test Number 1 2 3 03' (kPa) 200 300 400 0₁' (kPa) 570 875 1162 Plot the relevant Mohr stress circles and determine effective/drained shear strength parameters.

A series of consolidated-drained (CD) triaxial tests were performed on the soil with same initial density. Each test was continued until failure. Following data was recorded. Test Number 1 2 3 03' (kPa) 200 300 400 0₁' (kPa) 570 875 1162 Plot the relevant Mohr stress circles and determine effective/drained shear strength parameters.

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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Concept explainers

Test for Determination of Shear Strength

The term shear strength is often associated with the soil. Shear strength is defined as the resistance to the deformation of soil particles due to the continuous action of shear stress. In short, shear strength is the maximum shear stress that a soil can sustain.

Question

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### Triaxial Test Analysis

A series of consolidated-drained (CD) triaxial tests were performed on soil samples with the same initial density. Each test was continued until failure. The following data was recorded:

| Test Number | σ₃' (kPa) | σ₁' (kPa) |
|-------------|------------|------------|
| 1 | 200 | 570 |
| 2 | 300 | 875 |
| 3 | 400 | 1162 |

Plot the relevant Mohr stress circles and determine the effective/drained shear strength parameters.

**Explanation for Graphs/Diagrams:**

The data provided must be used to plot Mohr stress circles. The circles should be plotted with the normal stress (σ) on the x-axis and shear stress (τ) on the y-axis. Each circle represents the state of stress at failure for different tests:

1. **Test 1:**
- Center: ((σ₁' + σ₃') / 2, 0) = ((570 + 200) / 2, 0) = (385, 0)
- Radius: (σ₁' - σ₃') / 2 = (570 - 200) / 2 = 185

2. **Test 2:**
- Center: ((σ₁' + σ₃') / 2, 0) = ((875 + 300) / 2, 0) = (587.5, 0)
- Radius: (σ₁' - σ₃') / 2 = (875 - 300) / 2 = 287.5

3. **Test 3:**
- Center: ((σ₁' + σ₃') / 2, 0) = ((1162 + 400) / 2, 0) = (781, 0)
- Radius: (σ₁' - σ₃') / 2 = (1162 - 400) / 2 = 381

From these plots, the effective cohesion (c') and effective angle of internal friction (φ') can be determined by drawing the tangent to the Mohr circles at failure. The tangent line's y-intercept will give the effective cohesion, while the angle θ formed with the x

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