Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A cylinder with diameter D, length L, and P b...
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A cylinder with diameter D, length L, and P be the compressive load applied on cylinder, then split tensile strength is given by _______.
- a)P / πLD
- b)2P / πLD
- c)4P / πLD
- d)16P / πLD
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A cylinder with diameter D, length L, and P be the compressive load ap...
Splitting cylindrical test:
- The cylindrical sample is laid horizontal and it is subjected to the compressive load in the UTM machine.
- During this tensile stress is developed in the middle 5/6 portion of the section of the cylinder due to which its failure takes place.
- This test gives a more uniform and accurate result.
- The greatest advantage of this test is the same sample is used to find the compressive strength of the concrete.
The magnitude of the tensile stress is obtained by –
where, P = Applied load, D = Diameter of the cylinder, L = Length of the cylinder
where, P = Applied load, D = Diameter of the cylinder, L = Length of the cylinder
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A cylinder with diameter D, length L, and P be the compressive load ap...
Understanding Split Tensile Strength
Split tensile strength is an important property in assessing the behavior of concrete and cylindrical structures under compressive loads. In this context, we are looking at a cylinder with a given diameter (D), length (L), and a compressive load (P) applied to it.
Formula Derivation
To derive the split tensile strength, we start by understanding the forces acting on the cylinder. When a compressive load (P) is applied, it generates tensile stresses along the diameter of the cylinder. The split tensile strength can be expressed using the following relationship:
- The tensile stress developed in the cylinder due to the applied load can be calculated by considering the cross-sectional area and the length.
Cross-sectional Area
- The cross-sectional area (A) of the cylinder is given by the formula:
A = (π/4) * D²
Tensile Stress Calculation
- The tensile stress (σ) is calculated as:
σ = P / A
Therefore, substituting for A:
σ = 4P / (πD²)
Considering Length Factor
- However, we need to consider the length (L) of the cylinder as well. The split tensile strength is derived considering the length as a factor affecting the distribution of stress.
- The final equation for split tensile strength becomes:
σ = 2P / (πLD)
Thus, the correct answer to the question is option b) 2P / πLD. This formula encapsulates how the tensile strength is influenced by the compressive load, cylinder dimensions, and length.
Conclusion
Understanding this relationship is crucial for engineers when evaluating the structural integrity of cylindrical components under load.
Split tensile strength is an important property in assessing the behavior of concrete and cylindrical structures under compressive loads. In this context, we are looking at a cylinder with a given diameter (D), length (L), and a compressive load (P) applied to it.
Formula Derivation
To derive the split tensile strength, we start by understanding the forces acting on the cylinder. When a compressive load (P) is applied, it generates tensile stresses along the diameter of the cylinder. The split tensile strength can be expressed using the following relationship:
- The tensile stress developed in the cylinder due to the applied load can be calculated by considering the cross-sectional area and the length.
Cross-sectional Area
- The cross-sectional area (A) of the cylinder is given by the formula:
A = (π/4) * D²
Tensile Stress Calculation
- The tensile stress (σ) is calculated as:
σ = P / A
Therefore, substituting for A:
σ = 4P / (πD²)
Considering Length Factor
- However, we need to consider the length (L) of the cylinder as well. The split tensile strength is derived considering the length as a factor affecting the distribution of stress.
- The final equation for split tensile strength becomes:
σ = 2P / (πLD)
Thus, the correct answer to the question is option b) 2P / πLD. This formula encapsulates how the tensile strength is influenced by the compressive load, cylinder dimensions, and length.
Conclusion
Understanding this relationship is crucial for engineers when evaluating the structural integrity of cylindrical components under load.
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A cylinder with diameter D, length L, and P be the compressive load applied on cylinder, then split tensile strength is given by _______.a)P / πLDb)2P / πLDc)4P / πLDd)16P / πLDCorrect answer is option 'B'. Can you explain this answer?
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A cylinder with diameter D, length L, and P be the compressive load applied on cylinder, then split tensile strength is given by _______.a)P / πLDb)2P / πLDc)4P / πLDd)16P / πLDCorrect 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 A cylinder with diameter D, length L, and P be the compressive load applied on cylinder, then split tensile strength is given by _______.a)P / πLDb)2P / πLDc)4P / πLDd)16P / πLDCorrect 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 A cylinder with diameter D, length L, and P be the compressive load applied on cylinder, then split tensile strength is given by _______.a)P / πLDb)2P / πLDc)4P / πLDd)16P / πLDCorrect answer is option 'B'. Can you explain this answer?.
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