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Which of the following is coulomb’s strength equation?
  • a)
    S = c + tan φ
  • b)
    C = s + c tan φ
  • c)
    S = c + σ tan φ
  • d)
    S = tan φ
Correct answer is option 'C'. Can you explain this answer?
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Which of the following is coulomb’s strength equation?a)S = c + ...
Explanation:

Coulomb's strength equation
- Coulomb's strength equation is given by: S = c + σ tan φ
- Here, S represents the shear strength of the soil, c is the cohesion intercept, σ is the normal stress on the plane, and φ is the effective stress angle.

Understanding the components of the equation:
- Shear strength (S): Shear strength is the maximum resistance of a soil to shearing stresses. It is a combination of cohesive and frictional strength.
- Cohesion intercept (c): Cohesion is the property of soil particles to stick together. It represents the shear strength of the soil when there is no normal stress acting on the plane.
- Normal stress (σ): Normal stress is the stress acting perpendicular to the plane under consideration in soil mechanics.
- Effective stress angle (φ): Effective stress angle is the angle between the failure plane and the major principal stress.

Significance of Coulomb's strength equation:
- Coulomb's strength equation is essential in geotechnical engineering for determining the shear strength of soils.
- It helps in analyzing stability of slopes, retaining walls, foundations, and other geotechnical structures.
- The equation provides a quantitative measure of soil behavior under different stress conditions.

Conclusion:
- Understanding Coulomb's strength equation is crucial for geotechnical engineers to design safe and stable structures. By considering the cohesive and frictional properties of soil, engineers can make informed decisions regarding the design and construction of various civil engineering projects.
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Community Answer
Which of the following is coulomb’s strength equation?a)S = c + ...
Coulomb defined the function F (σ) as a linear function of σ and gave the following strength equation:
S = c + σ tan φ.
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