Civil Engineering - GATE Exam Questions - Discussion

Discussion Forum : GATE Exam Questions - Section 5 (Q.No. 11)
11.
A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at centre of gravity of the section. The prestress in the tendons is 1000 N/mm2. Assuming modular ratio as 10, the stress (N/mm2) in concrete is
11
9
7
5
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
10 comments Page 1 of 1.

Sahar said:   5 years ago
Bottom stress ot top stress?

Please explain!

Raju said:   7 years ago
Thank you @Arnab.

Arnab Bhattacharyya said:   8 years ago
Using modular ratio area of tendons can be converted to equivalent concrete area. (Es/Ec=10) i.e (Ac/As =10)i.e Ac = 500 * 10 = 5000 mm2, Total area of concrete = 5000+ (200*250) mm2 = 55000 mm2.

Total Stress in concrete = P/55000 = (Area of Tendons * Prestress)/55000 = (500*1000)/55000 = 9.09.

Sanathkumar said:   8 years ago
How 9? Please anyone explain.
(1)

Chhaya said:   8 years ago
How you get e=50mm? @Dileep Reddy.

Naveen K said:   8 years ago
P = 1000 * 500 = 500000 N.
A = 200 * 250
as e = 0.
prestress= P/A=10.

Dileep Reddy said:   9 years ago
P/A+Pe/Z.
Where P = 1000 * 500,
A=200 * 250,
e = 50.
Z = I/Y.
The answer is 9.10.

RAKESH KUMAR said:   9 years ago
Can anyone explain this problem?

Pallavi said:   9 years ago
We have to consider the top stress or bottom stress?

Balaji said:   10 years ago
Please explain.

Post your comments here:

Your comments will be displayed after verification.