2. Prove n-e/(1+e) and e-n/(1-n) based on definitions of void ratio and porosity.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem Set**

2. **Prove**:  
   \( n = \frac{e}{1+e} \) and \( e = \frac{n}{1-n} \)  
   based on definitions of void ratio and porosity.

3. **Classify the following soils according to the Unified Soil Classification System**:  
   Group symbols and typical names.

   | Soil | Percent passing U.S. sieve | LL | PL |
   |------|-----------------------------|----|----|
   |      | No. 4 | No. 10 | No. 20 | No. 40 | No. 60 | No. 100 | No. 200 |
   | A    |   95  |   86   |   65   |   52   |   46   |   38    |   25    | 38 | 22 |
   | B    |  100  |   98   |   95   |   88   |   82   |   75    |   65    | 65 | 58 |

**Explanation of the Table**:
- This table presents the sieve analysis of two soil samples, A and B, with corresponding percentages passing through standard U.S. sieves (No. 4, No. 10, No. 20, etc.).
- It also includes the Atterberg limits: Liquid Limit (LL) and Plastic Limit (PL) for each soil sample.
- These parameters are essential for classifying the soil types according to the Unified Soil Classification System (USCS).
Transcribed Image Text:**Problem Set** 2. **Prove**: \( n = \frac{e}{1+e} \) and \( e = \frac{n}{1-n} \) based on definitions of void ratio and porosity. 3. **Classify the following soils according to the Unified Soil Classification System**: Group symbols and typical names. | Soil | Percent passing U.S. sieve | LL | PL | |------|-----------------------------|----|----| | | No. 4 | No. 10 | No. 20 | No. 40 | No. 60 | No. 100 | No. 200 | | A | 95 | 86 | 65 | 52 | 46 | 38 | 25 | 38 | 22 | | B | 100 | 98 | 95 | 88 | 82 | 75 | 65 | 65 | 58 | **Explanation of the Table**: - This table presents the sieve analysis of two soil samples, A and B, with corresponding percentages passing through standard U.S. sieves (No. 4, No. 10, No. 20, etc.). - It also includes the Atterberg limits: Liquid Limit (LL) and Plastic Limit (PL) for each soil sample. - These parameters are essential for classifying the soil types according to the Unified Soil Classification System (USCS).
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