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A concrete beam pre-stressed with a parabolic tendon is shown in the sketch. The eccentricity of the tendon is measured from the centroid of the cross-section. The applied pre-stressing force at service is 1620 kN. The uniformly distributed load of 45 kN/m includes the self-weight.
The stress (in N/mm2) in the bottom fibre at mid-span is
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- tensile 2.90
- compressive 2.90
- tensile 4.32
- compressive 4.32
Correct Option: B
Total stress bottom,
σb = | + | - | ||||
A | Zb | Zb |
I = | 12 |
= | = 4687500 mm2 | 6 |
Zb = Zt.
= 2.93