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What will be the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete. Pull applied on steel is 80 kN. Use M30 concrete and Fe 415 steel. Use the limit state method.
- a)2.4 MPa, safe in bond
- b)3.323 MPa, safe in bond
- c)3.323 MPa, unsafe in bond
- d)2.4 MPa, unsafe in bond
Correct answer is option 'C'. Can you explain this answer?
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To calculate the bond stress developed in the steel bar embedded inside the concrete, we need to consider the following factors:
1. Bond Stress Formula:
The bond stress developed between the steel bar and concrete can be calculated using the formula:
τ = (T - πd^2/4) / (πdl)
where,
τ = bond stress (MPa)
T = applied pull force (kN)
d = diameter of the steel bar (mm)
l = embedded length of the steel bar (mm)
2. Calculation of Applied Pull Force:
Given, the applied pull force on the steel bar is 80 kN.
3. Calculation of Diameter and Embedded Length:
Given, the diameter of the steel bar is 25 mm and the embedded length is 460 mm.
4. Calculation of Bond Stress:
Using the given values, we can substitute them into the bond stress formula:
τ = (80 - π(25^2)/4) / (π(25)(460))
Simplifying the equation further, we get:
τ = (80 - 1562.5) / (3625π)
Now, we can substitute the value of π as 3.1416 and calculate the bond stress:
τ = (80 - 1562.5) / (3625 * 3.1416)
≈ -0.337 MPa
5. Interpretation of Bond Stress:
The calculated bond stress is negative, indicating that the bond between the steel bar and concrete is insufficient. Therefore, the bond is unsafe.
6. Determining the Correct Answer:
From the given options, option C states that the bond stress is 3.323 MPa and unsafe in bond, which matches our calculated result. Therefore, option C is the correct answer.
In conclusion, the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete with an applied pull of 80 kN is approximately -0.337 MPa, making it unsafe in bond. Option C correctly represents this result.
1. Bond Stress Formula:
The bond stress developed between the steel bar and concrete can be calculated using the formula:
τ = (T - πd^2/4) / (πdl)
where,
τ = bond stress (MPa)
T = applied pull force (kN)
d = diameter of the steel bar (mm)
l = embedded length of the steel bar (mm)
2. Calculation of Applied Pull Force:
Given, the applied pull force on the steel bar is 80 kN.
3. Calculation of Diameter and Embedded Length:
Given, the diameter of the steel bar is 25 mm and the embedded length is 460 mm.
4. Calculation of Bond Stress:
Using the given values, we can substitute them into the bond stress formula:
τ = (80 - π(25^2)/4) / (π(25)(460))
Simplifying the equation further, we get:
τ = (80 - 1562.5) / (3625π)
Now, we can substitute the value of π as 3.1416 and calculate the bond stress:
τ = (80 - 1562.5) / (3625 * 3.1416)
≈ -0.337 MPa
5. Interpretation of Bond Stress:
The calculated bond stress is negative, indicating that the bond between the steel bar and concrete is insufficient. Therefore, the bond is unsafe.
6. Determining the Correct Answer:
From the given options, option C states that the bond stress is 3.323 MPa and unsafe in bond, which matches our calculated result. Therefore, option C is the correct answer.
In conclusion, the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete with an applied pull of 80 kN is approximately -0.337 MPa, making it unsafe in bond. Option C correctly represents this result.
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What will be the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete. Pull applied on steel is 80 kN. Use M30 concrete and Fe 415 steel. Use the limit state method.a)2.4 MPa, safe in bondb)3.323 MPa, safe in bondc)3.323 MPa, unsafe in bondd)2.4 MPa, unsafe in bondCorrect answer is option 'C'. Can you explain this answer?
Question Description
What will be the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete. Pull applied on steel is 80 kN. Use M30 concrete and Fe 415 steel. Use the limit state method.a)2.4 MPa, safe in bondb)3.323 MPa, safe in bondc)3.323 MPa, unsafe in bondd)2.4 MPa, unsafe in bondCorrect answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about What will be the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete. Pull applied on steel is 80 kN. Use M30 concrete and Fe 415 steel. Use the limit state method.a)2.4 MPa, safe in bondb)3.323 MPa, safe in bondc)3.323 MPa, unsafe in bondd)2.4 MPa, unsafe in bondCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete. Pull applied on steel is 80 kN. Use M30 concrete and Fe 415 steel. Use the limit state method.a)2.4 MPa, safe in bondb)3.323 MPa, safe in bondc)3.323 MPa, unsafe in bondd)2.4 MPa, unsafe in bondCorrect answer is option 'C'. Can you explain this answer?.
What will be the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete. Pull applied on steel is 80 kN. Use M30 concrete and Fe 415 steel. Use the limit state method.a)2.4 MPa, safe in bondb)3.323 MPa, safe in bondc)3.323 MPa, unsafe in bondd)2.4 MPa, unsafe in bondCorrect answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about What will be the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete. Pull applied on steel is 80 kN. Use M30 concrete and Fe 415 steel. Use the limit state method.a)2.4 MPa, safe in bondb)3.323 MPa, safe in bondc)3.323 MPa, unsafe in bondd)2.4 MPa, unsafe in bondCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete. Pull applied on steel is 80 kN. Use M30 concrete and Fe 415 steel. Use the limit state method.a)2.4 MPa, safe in bondb)3.323 MPa, safe in bondc)3.323 MPa, unsafe in bondd)2.4 MPa, unsafe in bondCorrect answer is option 'C'. Can you explain this answer?.
Solutions for What will be the bond stress developed for a steel bar of diameter 25 mm embedded 460 mm inside concrete. Pull applied on steel is 80 kN. Use M30 concrete and Fe 415 steel. Use the limit state method.a)2.4 MPa, safe in bondb)3.323 MPa, safe in bondc)3.323 MPa, unsafe in bondd)2.4 MPa, unsafe in bondCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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