6.11 Refer to Figure 6.17. For a rectangular foundation on layered sand, given: B = 4 ft, L = 6 ft, H = 2 ft, Dj = 3 ft 71 = 98 lb/ft³,d₁ = 30°, c₁=0 72 = 108 lb/ft³, ₂ = 38°, c₂=0 . Using a factor of safety of 4, determine the gross allowable load the foundation can carry. Use Eq. (6.46).

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This is Civil Engineering. Specifically Foundation Engineering. Please post thorough answers and work. Any plot needs to be computer generated. Thank you

**6.11** Refer to Figure 6.17. For a rectangular foundation on layered sand, given:

- \( B = 4 \, \text{ft}, \, L = 6 \, \text{ft}, \, H = 2 \, \text{ft}, \, D_f = 3 \, \text{ft} \)
- \( \gamma_1 = 98 \, \text{lb/ft}^3, \, \phi'_1 = 30^\circ, \, c'_1 = 0 \)
- \( \gamma_2 = 108 \, \text{lb/ft}^3, \, \phi'_2 = 38^\circ, \, c'_2 = 0 \)

Using a factor of safety of 4, determine the gross allowable load the foundation can carry. Use Eq. (6.46).

(Note: There is no graph or diagram provided in the image for explanation.)
Transcribed Image Text:**6.11** Refer to Figure 6.17. For a rectangular foundation on layered sand, given: - \( B = 4 \, \text{ft}, \, L = 6 \, \text{ft}, \, H = 2 \, \text{ft}, \, D_f = 3 \, \text{ft} \) - \( \gamma_1 = 98 \, \text{lb/ft}^3, \, \phi'_1 = 30^\circ, \, c'_1 = 0 \) - \( \gamma_2 = 108 \, \text{lb/ft}^3, \, \phi'_2 = 38^\circ, \, c'_2 = 0 \) Using a factor of safety of 4, determine the gross allowable load the foundation can carry. Use Eq. (6.46). (Note: There is no graph or diagram provided in the image for explanation.)
**Figure 6.17**

**(a)** The diagram shows a foundation placed on a weaker soil layer which is underlain by a stronger sand layer. Key points in the diagram include the depiction of the weaker soil above and the stronger soil below. The foundation is shown exerting force on the weaker soil, and the diagram illustrates potential failure surfaces and displacement paths. The dimensions labeled are crucial for understanding the interaction between layers, depicted as D and H for depth-related measurements.

**(b)** The graph illustrates the variation of \( q_u \) (ultimate bearing capacity) with the ratio \( \frac{H}{B} \), where H is the depth of the weaker soil layer, and B is the width of the foundation. The curve shows how \( q_u \) decreases as the ratio \( \frac{H}{B} \) increases, indicating that the bearing capacity diminishes with thicker weaker layers.

**Details**

This figure provides insights into the behavior of foundational structures on layered soils, specifically focusing on a weaker soil layer supported by a stronger underlying layer. The graph further emphasizes the impact of layer thickness on bearing capacity, a critical factor in foundation engineering.
Transcribed Image Text:**Figure 6.17** **(a)** The diagram shows a foundation placed on a weaker soil layer which is underlain by a stronger sand layer. Key points in the diagram include the depiction of the weaker soil above and the stronger soil below. The foundation is shown exerting force on the weaker soil, and the diagram illustrates potential failure surfaces and displacement paths. The dimensions labeled are crucial for understanding the interaction between layers, depicted as D and H for depth-related measurements. **(b)** The graph illustrates the variation of \( q_u \) (ultimate bearing capacity) with the ratio \( \frac{H}{B} \), where H is the depth of the weaker soil layer, and B is the width of the foundation. The curve shows how \( q_u \) decreases as the ratio \( \frac{H}{B} \) increases, indicating that the bearing capacity diminishes with thicker weaker layers. **Details** This figure provides insights into the behavior of foundational structures on layered soils, specifically focusing on a weaker soil layer supported by a stronger underlying layer. The graph further emphasizes the impact of layer thickness on bearing capacity, a critical factor in foundation engineering.
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