Question: A post tensioned prestressed concrete beam of rectangular section 1 0 0 mm wide and 3 0 0 mm deep and spanning 1 0 m

A post tensioned prestressed concrete beam of rectangular section 100mm wide and 300mm deep and spanning 10m is stressed by successive tensioning and anchoring of two cables numbered 1 and 2 respectively. The cross sectional area of each cable is 200 sq.mm and the initial stress in the cable is 1200 MPa. Modular ratio is 6. The first cable is parabolic with an eccentricity of 50mm below the centroidal axis at the center of the span and 50mm above the centroidal axis at the support sections. The second cable is also parabolic with an eccentricity of 50mm towards the bottom at the center of the span and concentric at the support sections. Estimate the percentage loss of stress in each of these cables due to elastic deformation of concrete only if they are successively tensioned and anchored.

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