If a simply supported concrete beam, prestressed with a force of 2500 kN , is designed by load balancing concept for an effective span of 10 m and to carry a total load of \(40 \text{kN/m}\), the central dip of the cable profile should be

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JKSSB JE (Civil) Official Paper (Held On: 19 Nov, 2023)
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  1. 100 mm
  2. 200 mm
  3. 300 mm
  4. 400 mm

Answer (Detailed Solution Below)

Option 2 : 200 mm
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Concept:

Prestress concrete is the concrete in which internal stresses are produced due to compression or tension applied before applying external load and these stresses are counter balanced by the applied load to the desired degree.

F2 Madhuri Engineering 25.04.2022 D2

 

 

 

 

 

Central dip is given by: \(e=\frac{WL^2}{8P}\)

where, P = Prestressing force, L = effective span, W = Acting UDL

Calculation:

Given:

P = 2500 kN, W = 40 kN/m, L = 10 m

\(e=\frac{40 \times10^2}{8\times2500}=0.2m=200mm\)

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