Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A pre-tensioned concrete member of section 2...
Start Learning for Free
A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)
Correct answer is '9.08'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A pre-tensioned concrete member of section 200 mm x 250 mm contains t...
Given data:
- Section dimensions: 200 mm x 250 mm
- Tendon area: 500 mm2
- Pre-stress in tendons: 1000 N/mm2
- Modular ratio: 10
To find:
Stress in concrete
Solution:
Step 1: Calculation of modular ratio (m)
The modular ratio (m) is given by the formula: m = Ecs / Est
where Ecs is the modulus of elasticity of concrete and Est is the modulus of elasticity of steel.
Since the modular ratio is given as 10, we can write:
m = 10
Step 2: Calculation of stress in tendons (σt)
The stress in tendons (σt) is given by the formula: σt = P / A
where P is the pre-stress force and A is the area of the tendons.
Given:
P = 1000 N/mm2
A = 500 mm2
Substituting the values, we get:
σt = 1000 / 500
σt = 2 N/mm2
Step 3: Calculation of stress in concrete (σc)
The stress in concrete (σc) is given by the formula: σc = m * σt
Substituting the values, we get:
σc = 10 * 2
σc = 20 N/mm2
However, the answer needs to be in two decimal places, so we need to round off the value of σc.
Step 4: Rounding off the stress in concrete (σc)
Rounding off the value of σc to two decimal places, we get:
σc = 20.00 N/mm2
σc ≈ 20 N/mm2
But the correct answer is given as 9.08 N/mm2. This means that the answer provided is incorrect.
Conclusion:
The correct stress in concrete cannot be determined based on the given data. The answer provided is incorrect.
- Section dimensions: 200 mm x 250 mm
- Tendon area: 500 mm2
- Pre-stress in tendons: 1000 N/mm2
- Modular ratio: 10
To find:
Stress in concrete
Solution:
Step 1: Calculation of modular ratio (m)
The modular ratio (m) is given by the formula: m = Ecs / Est
where Ecs is the modulus of elasticity of concrete and Est is the modulus of elasticity of steel.
Since the modular ratio is given as 10, we can write:
m = 10
Step 2: Calculation of stress in tendons (σt)
The stress in tendons (σt) is given by the formula: σt = P / A
where P is the pre-stress force and A is the area of the tendons.
Given:
P = 1000 N/mm2
A = 500 mm2
Substituting the values, we get:
σt = 1000 / 500
σt = 2 N/mm2
Step 3: Calculation of stress in concrete (σc)
The stress in concrete (σc) is given by the formula: σc = m * σt
Substituting the values, we get:
σc = 10 * 2
σc = 20 N/mm2
However, the answer needs to be in two decimal places, so we need to round off the value of σc.
Step 4: Rounding off the stress in concrete (σc)
Rounding off the value of σc to two decimal places, we get:
σc = 20.00 N/mm2
σc ≈ 20 N/mm2
But the correct answer is given as 9.08 N/mm2. This means that the answer provided is incorrect.
Conclusion:
The correct stress in concrete cannot be determined based on the given data. The answer provided is incorrect.
Free Test
FREE
| Start Free Test |
Community Answer
A pre-tensioned concrete member of section 200 mm x 250 mm contains t...
B = 200, D = 250, Ast = 500 mm2
Ps = 1000 N/mm2, m = 10, Pc = ？
Pre-tension acts on centre of gravity of the section
P = Ast.Ps = 1000 x 500 N
= 500 kN
Now, strain in concrete = strain in steel
Now, strain in concrete = 10.10/EC
Stress in steel = 
= 101.01 N/mm2 (loss)
Final stress = 1000 - 101.01 = 899 N/mm2
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Top Courses for Civil Engineering (CE)View all
A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer?
Question Description
A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. 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 pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. 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 pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer?.
A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. 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 pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. 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 pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer?.
Solutions for A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer?, a detailed solution for A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer? has been provided alongside types of A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (in N/mm2) in concrete is (Answer up to two decimal places)Correct answer is '9.08'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup