Question

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 kn/m, the central dip of the cable profile should be

Answer 1

Answer:

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Answer 2

Answer: The central dip of the cable profile should be 200 mm

Step by step explanation: Let the dip of the cable be h.

Let the dip of the cable be h.

Upward pressure provided by the parabolic cable =$\frac{8 \mathrm{Ph}}{\mathrm{L}^2}$

In order this upward pressure may fully balance the external loading.

$\begin{aligned}& \frac{8 \mathrm{Ph}}{\mathrm{L}^2}=\mathrm{w} \\& \Rightarrow \frac{8 \times 2500 \times \mathrm{h}}{(10)^2}=40\end{aligned}$

$\begin{aligned}& \Rightarrow h=0.2 \mathrm{~m} \\& \Rightarrow \mathrm{h}=200 \mathrm{~mm}\end{aligned}$

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