**Problem 1:**A 2.0 m wide strip foundation is placed in sand at 1.0 m depth. The properties of the sand are: γ = 19 kN/m³, c' = 0, and Φ' = 30°. Determine the allowable net wall load that the foundation can carry, with a factor of safety of 3.0, using Terzhagi bearing capacity equation (see lecture).---**Explanation for Educational Website:**This problem involves calculating the allowable net wall load for a strip foundation using Terzaghi's bearing capacity equation. The strip foundation is 2.0 meters in width and is placed in sand at a depth of 1.0 meter. **Given Parameters:**- Width of strip foundation (B): 2.0 m- Depth of foundation (D): 1.0 m- Unit weight of sand (γ): 19 kN/m³- Cohesion of sand (c'): 0- Internal friction angle (Φ'): 30°- Factor of safety: 3.0**To Solve:**The formula to be applied is Terzhagi's bearing capacity equation which factors in the given soil properties to compute the bearing capacity of the soil. The equation and its components are typically covered in geotechnical engineering lectures. After computing the ultimate bearing capacity using the given parameters, the allowable net wall load is found by applying the factor of safety. This ensures the foundation is designed conservatively to prevent failure.For detailed step-by-step calculations, refer to the lecture notes or textbooks on geotechnical engineering which cover Terzhagi’s bearing capacity theory in detail.

Given, Width of strip = 2 m Depth of foundation = 1 m Bulk unit weight of sand = 19 kN/m3 Factor of…

A 2.0 m wide strip foundation is placed in sand at 1.0 m depth. The properties of the sand are: y = 19 kN/m³, c'= 0, and ¤' = 30°. Determine the allowable net wall load that the foundation can carry, with a factor of safety of 3.0, using Terzhagi bearing capacity equation (see lecture).

A 2.0 m wide strip foundation is placed in sand at 1.0 m depth. The properties of the sand are: y = 19 kN/m³, c'= 0, and ¤' = 30°. Determine the allowable net wall load that the foundation can carry, with a factor of safety of 3.0, using Terzhagi bearing capacity equation (see lecture).

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

Load and resistance factor design

Load and resistance factors design (LRFD), also known as Limit state design (LSD), refers to the design method used in building engineering. A boundary condition is a condition of a structure where it can no longer meet the relevant design requirements. The condition may refer to the load level or other actions on the structure, while the terms refer to the integrity of the structure, suitability for use, durability, or other design requirements. A structure designed for LRFD is limited to keeping track of all possible actions during its design time and is always ready for use, with the appropriate level of reliability in each boundary condition. LRFD-based construction codes clearly define the appropriate levels of reliability in their instructions.

Question

**Problem 1:**

A 2.0 m wide strip foundation is placed in sand at 1.0 m depth. The properties of the sand are: γ = 19 kN/m³, c' = 0, and Φ' = 30°. Determine the allowable net wall load that the foundation can carry, with a factor of safety of 3.0, using Terzhagi bearing capacity equation (see lecture).

---

**Explanation for Educational Website:**

This problem involves calculating the allowable net wall load for a strip foundation using Terzaghi's bearing capacity equation. The strip foundation is 2.0 meters in width and is placed in sand at a depth of 1.0 meter.

**Given Parameters:**

- Width of strip foundation (B): 2.0 m
- Depth of foundation (D): 1.0 m
- Unit weight of sand (γ): 19 kN/m³
- Cohesion of sand (c'): 0
- Internal friction angle (Φ'): 30°
- Factor of safety: 3.0

**To Solve:**

The formula to be applied is Terzhagi's bearing capacity equation which factors in the given soil properties to compute the bearing capacity of the soil. The equation and its components are typically covered in geotechnical engineering lectures.

After computing the ultimate bearing capacity using the given parameters, the allowable net wall load is found by applying the factor of safety. This ensures the foundation is designed conservatively to prevent failure.

For detailed step-by-step calculations, refer to the lecture notes or textbooks on geotechnical engineering which cover Terzhagi’s bearing capacity theory in detail.

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Problem 6: A 1.5m square foundation was constructed at a depth of lm. The y =19.0 kN/m², c' = 10 kN/m² and o' = 24° deg and a FOS of 3.0. Find the maximum column load that can be applied.
2. The column load of a square foundation (Figure 1) is given. If the depth of foundation D= 4 ft, 0=30°, and c = 0. Using Terzaghi's bearing capacity equation and FS = 2.5, determine the proper size of the footing. D.L. = 80 kip L.L. = 60 kip qult = 1.3 c N. + qN, + 0.4 y B N, Figure 1 TABLE 2.1 Terzaghi's Bearing Capacity Factors-Eqs. (2.32), (2.33), and (2.34) N. N, N. N. N, N. N, N, Ysoil = 118 pcf 2 ft W.T 1.00 0.00 17 14.60 0.01 18 15.12 1.22 0.04 19 | 16.57 6.62 1.35 0.06 20 | 17.69 1.49 0.10 21 | 18.92 |1.64 0.14 22 20.27 1.81 0.20 23 21.75 2.00 0.27 24 23.36 2.21 0.35 25 25.13 2.44 0.44 26 27.09 9.61 2.69 0.56 27 29.24 5.70 5.45 2.18 34 2.59 35 36 52.64 57.75 36.50 38.04 D; = 4m 6.00 1.1 6.04 41.44 45.41 6.30 6.70 3.07 63.53 47.16 54.36 3.64 4.31 38 5.09 39 70.01 77.50 85.97 95.66 106.81 65.27 78.61 95.03 3 7.44 37 53.80 8.26 9.19 61.55 70.61 4 6.97 5 7.34 3m x2m 6. 7.73 10.23 6.00 40 81.27 115.31 11.40 12.72| 8.34 8.15 7.08 41 93.85 140.51 171.99 211.56 8 8.60 42 119.67…
According to the form and assumption of reliability coefficient 4, it is desirable to determine the allowable load tolerable by the foundation. (Eccentricity in one direction only) 0.1 m y= 17 kN/m e = 0 d'= 32° 0.8 m 1.5 m X 1.5 m Centerline