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Statement (A) : In Boussinesq's theory of stress computations, soil is considered to be un-stressed before application of the load.
Statement (B) : The contact pressure distribution under a rigid footing in cohesionless soil, is uniform throughout the width of the footing.
Statement (B) : The contact pressure distribution under a rigid footing in cohesionless soil, is uniform throughout the width of the footing.
- a)Both the statements (A) and (B) are correct.
- b)Statement (A) is correct but (B) is wrong.
- c)Statement (A) is wrong but (B) is correct.
- d)Both the statements (A) and (B) are wrong.
Correct answer is option 'B'. Can you explain this answer?
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Statement (A) : In Boussinesqs theory of stress computations, soil is ...
Statement 1: True
The following are the assumptions in Boussinesq’s theory:
The following are the assumptions in Boussinesq’s theory:
- The soil is homogeneous and isotropic.
- The soil mass is semi-infinite; that is, it extends infinitely in all directions below a level surface.
- The soil is elastic i.e. it obeys Hooke’s law; that is, the stress-strain relationship is linear.
- The soil is weightless and unstressed before the application of the load.
- The load is applied at the ground surface and it is a point load.
Statement 2: False
The typical contact pressure distribution under a rigid footing like RCC in cohesionless soil like sand is given below:
The typical contact pressure distribution under a rigid footing like RCC in cohesionless soil like sand is given below:
Based on the above, the following can be inferred about contact pressure:
- It is non-uniform.
- It is maximum at the center and minimum at the corners.
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Statement (A) : In Boussinesqs theory of stress computations, soil is ...
Statement (A) : In Boussinesq's theory of stress computations, soil is considered to be un-stressed before the application of the load.
The statement (A) is incorrect.
In Boussinesq's theory of stress computations, the soil is considered to be initially stressed due to its self-weight and any previous loading. The theory assumes that the soil is already in a state of stress before any external load is applied. This initial stress is known as the pre-existing stress or the initial stress distribution.
The Boussinesq's theory considers the soil to be homogeneous and isotropic, which means that the properties of the soil are assumed to be uniform in all directions. The theory also assumes that the soil is linearly elastic, meaning that it obeys Hooke's law and the stress-strain relationship is linear.
When a load is applied to the soil surface, the theory calculates the stress distribution at a certain depth below the surface. The stress distribution is calculated based on the assumption that the load is applied as a point load or a line load. The theory uses the principle of superposition to calculate the total stress distribution caused by multiple loads.
Statement (B) : The contact pressure distribution under a rigid footing in cohesionless soil is uniform throughout the width of the footing.
The statement (B) is correct.
In cohesionless soils such as sands and gravels, the contact pressure distribution under a rigid footing is indeed uniform throughout the width of the footing. This is because cohesionless soils do not possess any cohesive strength and rely solely on the frictional resistance between particles to transmit loads. Therefore, the contact pressure between the footing and the soil is distributed uniformly across the entire width of the footing.
This uniform contact pressure distribution is known as the "Boussinesq assumption" for cohesionless soils. The assumption is based on empirical observations and has been widely used in geotechnical engineering practice. It simplifies the stress analysis of footing foundations in cohesionless soils and provides a conservative estimate of the bearing capacity.
However, it should be noted that the uniform contact pressure distribution assumption is an idealization and may not hold true in all cases. In reality, factors such as non-uniform soil properties, footing shape, and soil-structure interaction can cause variations in the contact pressure distribution. Therefore, it is important to consider site-specific conditions and perform detailed geotechnical investigations and analyses for accurate design and analysis of footing foundations in cohesionless soils.
The statement (A) is incorrect.
In Boussinesq's theory of stress computations, the soil is considered to be initially stressed due to its self-weight and any previous loading. The theory assumes that the soil is already in a state of stress before any external load is applied. This initial stress is known as the pre-existing stress or the initial stress distribution.
The Boussinesq's theory considers the soil to be homogeneous and isotropic, which means that the properties of the soil are assumed to be uniform in all directions. The theory also assumes that the soil is linearly elastic, meaning that it obeys Hooke's law and the stress-strain relationship is linear.
When a load is applied to the soil surface, the theory calculates the stress distribution at a certain depth below the surface. The stress distribution is calculated based on the assumption that the load is applied as a point load or a line load. The theory uses the principle of superposition to calculate the total stress distribution caused by multiple loads.
Statement (B) : The contact pressure distribution under a rigid footing in cohesionless soil is uniform throughout the width of the footing.
The statement (B) is correct.
In cohesionless soils such as sands and gravels, the contact pressure distribution under a rigid footing is indeed uniform throughout the width of the footing. This is because cohesionless soils do not possess any cohesive strength and rely solely on the frictional resistance between particles to transmit loads. Therefore, the contact pressure between the footing and the soil is distributed uniformly across the entire width of the footing.
This uniform contact pressure distribution is known as the "Boussinesq assumption" for cohesionless soils. The assumption is based on empirical observations and has been widely used in geotechnical engineering practice. It simplifies the stress analysis of footing foundations in cohesionless soils and provides a conservative estimate of the bearing capacity.
However, it should be noted that the uniform contact pressure distribution assumption is an idealization and may not hold true in all cases. In reality, factors such as non-uniform soil properties, footing shape, and soil-structure interaction can cause variations in the contact pressure distribution. Therefore, it is important to consider site-specific conditions and perform detailed geotechnical investigations and analyses for accurate design and analysis of footing foundations in cohesionless soils.
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Statement (A) : In Boussinesqs theory of stress computations, soil is considered to be un-stressed before application of the load.Statement (B) : The contact pressure distribution under a rigid footing in cohesionless soil, is uniform throughout the width of the footing.a)Both the statements (A) and (B) are correct.b)Statement (A) is correct but (B) is wrong.c)Statement (A) is wrong but (B) is correct.d)Both the statements (A) and (B) are wrong.Correct answer is option 'B'. Can you explain this answer?
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Statement (A) : In Boussinesqs theory of stress computations, soil is considered to be un-stressed before application of the load.Statement (B) : The contact pressure distribution under a rigid footing in cohesionless soil, is uniform throughout the width of the footing.a)Both the statements (A) and (B) are correct.b)Statement (A) is correct but (B) is wrong.c)Statement (A) is wrong but (B) is correct.d)Both the statements (A) and (B) are wrong.Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Statement (A) : In Boussinesqs theory of stress computations, soil is considered to be un-stressed before application of the load.Statement (B) : The contact pressure distribution under a rigid footing in cohesionless soil, is uniform throughout the width of the footing.a)Both the statements (A) and (B) are correct.b)Statement (A) is correct but (B) is wrong.c)Statement (A) is wrong but (B) is correct.d)Both the statements (A) and (B) are wrong.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement (A) : In Boussinesqs theory of stress computations, soil is considered to be un-stressed before application of the load.Statement (B) : The contact pressure distribution under a rigid footing in cohesionless soil, is uniform throughout the width of the footing.a)Both the statements (A) and (B) are correct.b)Statement (A) is correct but (B) is wrong.c)Statement (A) is wrong but (B) is correct.d)Both the statements (A) and (B) are wrong.Correct answer is option 'B'. Can you explain this answer?.
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