GATE CE 2021 Set 1 — Question 49
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Structural Engineering → Slabs, Columns & Prestressed → Prestressed Concrete Beams
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Question
A prismatic cantilever prestressed concrete beam of span length, m has one straight tendon placed in the cross-section as shown in the following figure (not to scale). The total prestressing force of kN in the tendon is applied at mm from the top in the cross-section of width, mm and depth, mm.
If the concentrated load, kN, the resultant stress (in MPa, in integer) experienced at point 'Q' will be __________
Correct answer
0 to 0
Solution
Point Q is at the top fiber of the fixed support.
Section modulus mm.
Eccentricity : Tendon is 50 mm from top, Neutral Axis is 150 mm from top. So mm (upwards).
Stress at top fiber (tension) MPa.
1.Properties:
Area mm.Section modulus mm.
Eccentricity : Tendon is 50 mm from top, Neutral Axis is 150 mm from top. So mm (upwards).
2.Stress due to Prestress at top fiber:
MPa (Compression).3.Stress due to external load P:
Bending moment at Q, kNm Nmm.Stress at top fiber (tension) MPa.
4.Resultant Stress at Q:
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