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GATE Exam Questions

Q1: 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

A 11

B 9

C 7

D 5

ANS:B - 9

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.



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