The cable for a prestressed concrete simply supported beam subjected to uniformly distributed load over the entire span span should ideally be
A
placed at the centre of cross-section over the entire span
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B
placed at some eccentricity over entire span
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C
varying linearly from the centre of cross-section at the ends to maximum eccentricity at the middle section
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D
parabolic with zero eccentricity at the ends and maximum eccentricity at the centre of the span
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Solution
The correct option is D parabolic with zero eccentricity at the ends and maximum eccentricity at the centre of the span The load balancing concept is used to decide the cable profile. The shape of B.M.D. forms the basis for cable profile.
In the case of udl, the BMD is parabolic so cable profile will also be parabolic.