NOTE: For any required additional data (i.e., table/figure) please refer to the textbook (Das, B. M. PRINCIPLES OF GEOTECHNICAL ENGINEERING 9TH ED.) A 15" x 15" concrete pile of 90' length is used to support a vertical load on a 90' deep heavily over consolidated clay layer followed by a deep sand layer. Assume the groundwater table is located deep below the ground surface. The properties of concrete: Unit Weight 135 pcf Elastic Modulus 3×106 psi The soil properties: Properties Clay Layer Sand Layer Friction Angle Ø (°) 30 Cohesion c (psi) 15 Unit weight y (pcf) 110 105 Assume the Factor of Safety is equal to 3, Determine the followings: 1. Ultimate Load, Q 2. Allowable vertical load, Qau NOTE: Please write down all the calculation steps! Show your work clearly! use : 1. Qu = @p+Qs Qp = Ap (c'Nc + q'Nq) Qs = EpALf %3D Qu 2. Qall= FS
NOTE: For any required additional data (i.e., table/figure) please refer to the textbook (Das, B. M. PRINCIPLES OF GEOTECHNICAL ENGINEERING 9TH ED.) A 15" x 15" concrete pile of 90' length is used to support a vertical load on a 90' deep heavily over consolidated clay layer followed by a deep sand layer. Assume the groundwater table is located deep below the ground surface. The properties of concrete: Unit Weight 135 pcf Elastic Modulus 3×106 psi The soil properties: Properties Clay Layer Sand Layer Friction Angle Ø (°) 30 Cohesion c (psi) 15 Unit weight y (pcf) 110 105 Assume the Factor of Safety is equal to 3, Determine the followings: 1. Ultimate Load, Q 2. Allowable vertical load, Qau NOTE: Please write down all the calculation steps! Show your work clearly! use : 1. Qu = @p+Qs Qp = Ap (c'Nc + q'Nq) Qs = EpALf %3D Qu 2. Qall= FS
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Educational Content on Geotechnical Engineering:**
**Title: Load-Bearing Capacity of Concrete Piles in Soil Layers**
**Introduction:**
This study examines the load-bearing capacity of a 15” x 15” concrete pile with a 90-foot length, designed to support a vertical load in a stratified subsurface consisting of a heavily over-consolidated clay layer and an underlying sand layer. The significance of the groundwater table's location is also considered as being deep below the surface.
**Properties of Concrete:**
- **Unit Weight:** 135 pounds per cubic foot (pcf)
- **Elastic Modulus:** \(3 \times 10^6\) pounds per square inch (psi)
**Soil Properties:**
| **Properties** | **Clay Layer** | **Sand Layer** |
|------------------|----------------|----------------|
| Friction Angle \( \phi \) (°) | 0 | 30 |
| Cohesion \( c \) (psi) | 15 | 0 |
| Unit Weight \( \gamma \) (pcf) | 110 | 105 |
**Problem Statement:**
With a Factor of Safety of 3, determine the following:
1. **Ultimate Load, \( Q \)**
2. **Allowable Vertical Load, \( Q_{\text{all}} \)**
**Solution Approach:**
To find the ultimate load and allowable vertical load, follow these equations:
1. **Ultimate Load Calculation:**
\[
Q_u = Q_p + Q_s
\]
- \( Q_p = A_p \left( c'N_C + q'N_q \right) \)
- \( Q_s = \sum p \Delta L_f \)
2. **Allowable Load Calculation:**
\[
Q_{\text{all}} = \frac{Q_u}{\text{Factor of Safety}}
\]
**Note:** It is crucial to methodically document all calculations and explicitly demonstrate the work involved to ensure the credibility and precision of the results.
This educational material serves as a guide to understanding the fundamentals of geotechnical engineering concerning the load-bearing capacity of concrete piles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F198e85e4-e219-4dd1-997c-29d94096a9c5%2F5673c693-8812-4663-b8d3-aa1eb19cf3be%2F9jhofdc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content on Geotechnical Engineering:**
**Title: Load-Bearing Capacity of Concrete Piles in Soil Layers**
**Introduction:**
This study examines the load-bearing capacity of a 15” x 15” concrete pile with a 90-foot length, designed to support a vertical load in a stratified subsurface consisting of a heavily over-consolidated clay layer and an underlying sand layer. The significance of the groundwater table's location is also considered as being deep below the surface.
**Properties of Concrete:**
- **Unit Weight:** 135 pounds per cubic foot (pcf)
- **Elastic Modulus:** \(3 \times 10^6\) pounds per square inch (psi)
**Soil Properties:**
| **Properties** | **Clay Layer** | **Sand Layer** |
|------------------|----------------|----------------|
| Friction Angle \( \phi \) (°) | 0 | 30 |
| Cohesion \( c \) (psi) | 15 | 0 |
| Unit Weight \( \gamma \) (pcf) | 110 | 105 |
**Problem Statement:**
With a Factor of Safety of 3, determine the following:
1. **Ultimate Load, \( Q \)**
2. **Allowable Vertical Load, \( Q_{\text{all}} \)**
**Solution Approach:**
To find the ultimate load and allowable vertical load, follow these equations:
1. **Ultimate Load Calculation:**
\[
Q_u = Q_p + Q_s
\]
- \( Q_p = A_p \left( c'N_C + q'N_q \right) \)
- \( Q_s = \sum p \Delta L_f \)
2. **Allowable Load Calculation:**
\[
Q_{\text{all}} = \frac{Q_u}{\text{Factor of Safety}}
\]
**Note:** It is crucial to methodically document all calculations and explicitly demonstrate the work involved to ensure the credibility and precision of the results.
This educational material serves as a guide to understanding the fundamentals of geotechnical engineering concerning the load-bearing capacity of concrete piles.
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