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A prestressed concrete beam with a cross-section 120 mm wide and 300 mm deep is used to support a uniformly distributed live load of 3 kN/m over an effective span of 6 m. The beam is prestressed by a straight cable carrying an effective prestressing force of 180 kN at a constant eccentricity of 50 mm. Given E. = 38 kN/mm², the modulus of rupture = 5 N/mm², area of the cable = 200 mm and modular ratio = 6, estimate the deflection of the beam at the following stages: (a) working load (b) cracking load(e) 1.5 times the cracking load. [Ans: (a) 2.3 mm; (b) 5.6 mm; (e) 54.8 mm)

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