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1. A soil element is shown in Figure 1 and 2. Determine the following: a. Maximum and minimum principal stresses b. Normal and shear stresses on plane AB 128 kN/m2 Figure 1 121 EN/m2 Figure 2 32 kN/m? 39 kN/m? 32 kN/m2 33° 162 kN/m? 72 kN/m 39 LN/m2

1. A soil element is shown in Figure 1 and 2. Determine the following: a. Maximum and minimum principal stresses b. Normal and shear stresses on plane AB 128 kN/m2 Figure 1 121 EN/m2 Figure 2 32 kN/m? 39 kN/m? 32 kN/m2 33° 162 kN/m? 72 kN/m 39 LN/m2

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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### Soil Mechanics Analysis A soil element is depicted in Figures 1 and 2. For this element, determine the following: 1. **Maximum and Minimum Principal Stresses** 2. **Normal and Shear Stresses on Plane AB** #### Figure 1 - **Stresses:** - Top vertical stress: 128 kN/m² - Left horizontal stress: 32 kN/m² - Right horizontal stress: 32 kN/m² - Bottom vertical stress: 162 kN/m² - **Orientation:** - Plane AB is inclined at 55° #### Figure 2 - **Stresses:** - Top vertical stress: 121 kN/m² - Left horizontal stress: 39 kN/m² - Right horizontal stress: 39 kN/m² - Bottom vertical stress: 72 kN/m² - **Orientation:** - Plane AB is inclined at 33° These figures illustrate a typical problem in soil mechanics, where understanding stress distributions and their implications on soil stability is crucial. Accurate calculation of principal stresses and shear stresses is essential for designing safe and effective soil structures.
Transcribed Image Text:### Soil Mechanics Analysis A soil element is depicted in Figures 1 and 2. For this element, determine the following: 1. **Maximum and Minimum Principal Stresses** 2. **Normal and Shear Stresses on Plane AB** #### Figure 1 - **Stresses:** - Top vertical stress: 128 kN/m² - Left horizontal stress: 32 kN/m² - Right horizontal stress: 32 kN/m² - Bottom vertical stress: 162 kN/m² - **Orientation:** - Plane AB is inclined at 55° #### Figure 2 - **Stresses:** - Top vertical stress: 121 kN/m² - Left horizontal stress: 39 kN/m² - Right horizontal stress: 39 kN/m² - Bottom vertical stress: 72 kN/m² - **Orientation:** - Plane AB is inclined at 33° These figures illustrate a typical problem in soil mechanics, where understanding stress distributions and their implications on soil stability is crucial. Accurate calculation of principal stresses and shear stresses is essential for designing safe and effective soil structures.
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