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RCC Structures Design - Engineering

Q1:

In a prestressed beam carrying an external load W with a bent tendon is having angle of inclination θ and prestressed load P. The net downward load at the centre is

A W - 2P cos θ

B W - P cos θ

C W - P sin θ

D W - 2P sin θ

E W + 2P sin θ

ANS:D - W - 2P sin θ

In a prestressed beam with a bent tendon, the net downward load at the center can be calculated by considering the components of the prestressed load P and the external load W in the vertical direction. Let's analyze the forces:

  • The vertical component of the prestressed load P can be represented as sin⁡Psinθ. This is because when the tendon is bent at an angle θ, the vertical component of the prestressed force is sin⁡ Psinθ.
  • The external load W remains the same.
Therefore, the net downward load at the center is given by the difference of these forces (since the prestressed force acts upwards): Net downward load=W−2Psinθ So, the correct option is: W−2Psinθ