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GATE CE 2020 RCC & PSC Quiz 6 (App update required to attempt this test)

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Question 1

A concrete beam of length 24m and cross section 250 mm 400 mm, is post tensioned by a tendon with an initial stress of 1200 N/mm2.The percentage loss of prestress due to anchorage slip of 4mm is (Es =2 105)

Question 2

What is the loss (MPa) due to shrinkage in a post tensioned concrete if the age of concrete is 40 days .Take Es = 200GPa?

Question 3

A prestressed concrete pile, 250 mm square contains 60 pre-tensioned wire each of 20 mm diameter uniformly distributed over the section. The wires are initially tensioned with a total force of 300 kN.

Given Es = 2.1 × 105 N/mm2 and Ec = 3.2 × 104 N/mm2, shrinkage strain of concrete = 200 × 10–6 and creep coefficient = 1.6

Consider the following statements :

(i) Loss of stress due to elastic deformation is 31.5 N/mm2

(ii) Loss due to creep of concrete = 40.4 N/mm2

(iii) Loss due to shrinkage of concrete = 42 N/mm2

Which of the above statements are correct ?

Question 4

A prestressed concrete beam with a cross section of 300 mm width and 600 mm depth, is 12 m long. IT carries a load of 12 kN/m inclusive of its self weight. It is prestressed with 2000 mm2 high tensile steel located at 175 mm from soffit. The cable profile is straight for full length of the beam and it is stressed to a level of 800 N/mm2. It is bonded to concrete. The eccentricity (in mm) of thrust line at mid span in the beam is

Question 5

A rectangular cross section beam of span 8 meter pre-stressed with a force of 1600KN. The eccentricity is 50mm from neutral axis and flexural rigidity is 2.45*1014 Nmm2 . What is the upward deflection(mm) of beam?

Question 6

A rectangular concrete beam 250 mm wide and 500 mm deep is prestressed by means of 20 wires of high tensile steel each of 8 mm diameter located at 100 mm from the neutral axis of the beam at a given section. The effective prestress in the wires is 700 MPa. The maximum sagging moment due to live load which this section of the beam can withstand without causing tensile stresses at the bottom face of the beam is _____ kNm. Neglect the self weight of the beam.
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Jul 5ESE & GATE CE