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Question

# A simply supported pre-stressed concrete beam is 6 m long and 300 mm wide. Its gross depth is 600 mm. It is pre-stressed by horizontal cable tendons at a uniform eccentricity of 100 mm. The pre-stressing tensile force in the cable tendons is 1000 kN. Neglect the self weight of beam. The maximum normal compressive stress in the beam at transfer is

A
zero
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B
5.55 N/mm2
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C
11.11 N/mm2
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D
15.68 N/mm2
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Solution

## The correct option is C 11.11 N/mm2Prestressing tensile force, P=1000kN=106 N Eccentricity, e = 100 mm Moment of inertia, I=300×600312 Maximum normal compressive stress, σ=PA+(Pe)yI =106300×600+(106×100)×(600/2)300×600312 =11.11N/mm2 (at bottom)

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