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Question

In a pre-stress concrete beam section, net loss 10% and final pre-stressing force applied at X is 750kN. The initial fibre stresses (N/mm2) at top and bottom are




A
4.166 and 20.833
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B
- 4.166 and - 20.833
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C
4.166 and 20.833
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D
- 4.166 and 20.833
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Solution

The correct option is D - 4.166 and 20.833
Given, net loss = 10%
After loss, final prestressig force = 750 kN
Hence, initial prestressing force

=7500.9=833.33kN

Initial stress at top and bottom

=PA±MZ

d=833.33×103250×400±833.33×103×100×6250×4002

=8.33±12.50

At top =8.3312.50

= - 4.166 (tensile)

At bottom=8.33+12.50
= 20.833 (compressive)

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