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Compute the stresses at top and bottom fibres in a simply supported pre-stressed concrete beam with a rectangular cross section, 200 mm wide and 400 mm deep at sections A-A, B-B and C-C, due to the following cases of pre-stressing.
(a) A pre-stressing force of 250 KN concentrically applied.
(b) A pre-stressing force of 250 KN, eccentrically applied with a constant eccentricity of 50 rnrn towards the soffit of the beam.
In both the cases, the beam is subjected to its self load and an imposed load of 4 KN/m over the entire span of 5 m. Density of the concrete may be taken as 25 KN/m3. Calculate the combined stresses at these sections at top and bottom fibers.
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