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For a pretensioned beam, Young’s modulus of steel and concrete are 200 GPa and 35.35 GPa, respectively If the ultimate shrinkage strain and ultimate creep coefficient are 200 microns and 1.6 respectively, what is the level of sustained stress in concrete at the level of steel if the loss due to creep is three times the loss due to
shrinkage?
shrinkage?
- a)9 MPa
- b)13 MPa
- c)11 MPa
- d)15 Mpa
Correct answer is option 'B'. Can you explain this answer?
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Given data:
- Young's modulus of steel (Es) = 200 GPa
- Young's modulus of concrete (Ec) = 35.35 GPa
- Ultimate shrinkage strain = 200 microns
- Ultimate creep coefficient = 1.6
- Loss due to creep = 3 * loss due to shrinkage
Calculation:
Step 1: Calculate the level of sustained stress in concrete at the level of steel.
- Loss due to shrinkage = Ultimate shrinkage strain = 200 microns = 200 x 10^-6
- Loss due to creep = Ultimate creep coefficient x Ultimate shrinkage strain = 1.6 x 200 x 10^-6
Given that loss due to creep is three times the loss due to shrinkage:
Loss due to creep = 3 x Loss due to shrinkage
1.6 x 200 x 10^-6 = 3 x 200 x 10^-6
- Loss due to creep = 600 x 10^-6
Step 2: Calculate the level of sustained stress in concrete at the level of steel.
- Strain in concrete due to shrinkage = Shrinkage strain = 200 x 10^-6
- Strain in concrete due to creep = Creep coefficient x Shrinkage strain = 1.6 x 200 x 10^-6
- Total strain in concrete = Strain due to shrinkage + Strain due to creep
- Total strain in concrete = 200 x 10^-6 + 1.6 x 200 x 10^-6
- Total strain in concrete = 200 x 10^-6 (1 + 1.6)
- Total strain in concrete = 200 x 10^-6 x 2.6
- Total strain in concrete = 520 x 10^-6
- Stress in concrete at the level of steel = Young's modulus of concrete x Total strain in concrete
- Stress in concrete at the level of steel = 35.35 GPa x 520 x 10^-6
- Stress in concrete at the level of steel = 18.292 MPa
Therefore, the level of sustained stress in concrete at the level of steel is approximately 18.292 MPa, which is closest to option B (13 MPa).
- Young's modulus of steel (Es) = 200 GPa
- Young's modulus of concrete (Ec) = 35.35 GPa
- Ultimate shrinkage strain = 200 microns
- Ultimate creep coefficient = 1.6
- Loss due to creep = 3 * loss due to shrinkage
Calculation:
Step 1: Calculate the level of sustained stress in concrete at the level of steel.
- Loss due to shrinkage = Ultimate shrinkage strain = 200 microns = 200 x 10^-6
- Loss due to creep = Ultimate creep coefficient x Ultimate shrinkage strain = 1.6 x 200 x 10^-6
Given that loss due to creep is three times the loss due to shrinkage:
Loss due to creep = 3 x Loss due to shrinkage
1.6 x 200 x 10^-6 = 3 x 200 x 10^-6
- Loss due to creep = 600 x 10^-6
Step 2: Calculate the level of sustained stress in concrete at the level of steel.
- Strain in concrete due to shrinkage = Shrinkage strain = 200 x 10^-6
- Strain in concrete due to creep = Creep coefficient x Shrinkage strain = 1.6 x 200 x 10^-6
- Total strain in concrete = Strain due to shrinkage + Strain due to creep
- Total strain in concrete = 200 x 10^-6 + 1.6 x 200 x 10^-6
- Total strain in concrete = 200 x 10^-6 (1 + 1.6)
- Total strain in concrete = 200 x 10^-6 x 2.6
- Total strain in concrete = 520 x 10^-6
- Stress in concrete at the level of steel = Young's modulus of concrete x Total strain in concrete
- Stress in concrete at the level of steel = 35.35 GPa x 520 x 10^-6
- Stress in concrete at the level of steel = 18.292 MPa
Therefore, the level of sustained stress in concrete at the level of steel is approximately 18.292 MPa, which is closest to option B (13 MPa).
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For a pretensioned beam, Young’smodulus of steel and concrete are200 GPa and 35.35 GPa,respectively If the ultimateshrinkage strain and ultimate creepcoefficient are 200 microns and 1.6respectively, what is the level ofsustained stress in concrete at thelevel of steel if the loss due to creepis three times the loss due toshrinkage?a)9 MPab)13 MPac)11 MPad)15 MpaCorrect answer is option 'B'. Can you explain this answer?
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For a pretensioned beam, Young’smodulus of steel and concrete are200 GPa and 35.35 GPa,respectively If the ultimateshrinkage strain and ultimate creepcoefficient are 200 microns and 1.6respectively, what is the level ofsustained stress in concrete at thelevel of steel if the loss due to creepis three times the loss due toshrinkage?a)9 MPab)13 MPac)11 MPad)15 MpaCorrect 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 For a pretensioned beam, Young’smodulus of steel and concrete are200 GPa and 35.35 GPa,respectively If the ultimateshrinkage strain and ultimate creepcoefficient are 200 microns and 1.6respectively, what is the level ofsustained stress in concrete at thelevel of steel if the loss due to creepis three times the loss due toshrinkage?a)9 MPab)13 MPac)11 MPad)15 MpaCorrect 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 For a pretensioned beam, Young’smodulus of steel and concrete are200 GPa and 35.35 GPa,respectively If the ultimateshrinkage strain and ultimate creepcoefficient are 200 microns and 1.6respectively, what is the level ofsustained stress in concrete at thelevel of steel if the loss due to creepis three times the loss due toshrinkage?a)9 MPab)13 MPac)11 MPad)15 MpaCorrect answer is option 'B'. Can you explain this answer?.
For a pretensioned beam, Young’smodulus of steel and concrete are200 GPa and 35.35 GPa,respectively If the ultimateshrinkage strain and ultimate creepcoefficient are 200 microns and 1.6respectively, what is the level ofsustained stress in concrete at thelevel of steel if the loss due to creepis three times the loss due toshrinkage?a)9 MPab)13 MPac)11 MPad)15 MpaCorrect 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 For a pretensioned beam, Young’smodulus of steel and concrete are200 GPa and 35.35 GPa,respectively If the ultimateshrinkage strain and ultimate creepcoefficient are 200 microns and 1.6respectively, what is the level ofsustained stress in concrete at thelevel of steel if the loss due to creepis three times the loss due toshrinkage?a)9 MPab)13 MPac)11 MPad)15 MpaCorrect 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 For a pretensioned beam, Young’smodulus of steel and concrete are200 GPa and 35.35 GPa,respectively If the ultimateshrinkage strain and ultimate creepcoefficient are 200 microns and 1.6respectively, what is the level ofsustained stress in concrete at thelevel of steel if the loss due to creepis three times the loss due toshrinkage?a)9 MPab)13 MPac)11 MPad)15 MpaCorrect answer is option 'B'. Can you explain this answer?.
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