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A post-tensioned concrete member of span 15 m and cross-section of 450 mm $\times$ 450 mm is prestressed with three steel tendons, each of cross-sectional area 200 mm$^2$. The tendons are tensioned one after another to a stress of 1500 MPa. All the tendons are straight and located at 125 mm from the bottom of the member. Assume the prestress to be the same in all tendons and the modular ratio to be 6. The average loss of prestress, due to elastic deformation of concrete, considering all three tendons is
  • GATE CE - 2022
  • GATE CE
  • Structural Engineering
  • Prestressed concrete beams

A prismatic cantilever prestressed concrete beam of span length, \( L = 1.5 \, \text{m} \), has one straight tendon placed in the cross-section as shown in the following figure (not to scale). The total prestressing force of 50 kN in the tendon is applied at \( d_c = 50 \, \text{mm} \) from the top in the cross-section of width, \( b = 200 \, \text{mm} \) and depth, \( d = 300 \, \text{mm.}\) 
 

  • GATE CE - 2021
  • GATE CE
  • Structural Engineering
  • Prestressed concrete beams