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Concrete structures miscellaneous

Concrete Structures

  1. 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
    1. tensile 2.90
    2. compressive 2.90
    3. tensile 4.32
    4. compressive 4.32
Correct Option: B


Total stress bottom,

σb =
P
+
Pe
-
m
AZbZb

I =
bd3
12


=
500 × 7502
= 4687500 mm2
6

Zb = Zt.

= 2.93



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