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Question

A simply supported post-tensioned prestressed concrete beam of span L is prestressed by a straight tendon at a uniform eccentricity 'e' below the centroidal axis. If the magnitude of prestressing force is P and flexural rigidity of beam is EI, the maximum central deflection of the beam is

A
PeL28EI (downwards)
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B
PeL248EI (upwards)
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C
PeL38EI (upwards)
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D
PeL28EI (upwards)
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Solution

The correct option is D PeL28EI (upwards)
Maximum central deflection,
δ=L18R1R=PeEIδ=PeL28EI (upwards)

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