GATE CE 2017 Set 1 — Question 38
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Structural Engineering → Slabs, Columns & Prestressed → Losses in Prestress
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Question
A pre-tensioned rectangular concrete beam wide and depth is prestressed with three straight tendons, each having a cross-sectional area of , to an initial stress of . The tendons are located at from the soffit of the beam. If the modular ratio is , the loss of prestressing force (in kN, up to one decimal place) due to the elastic deformation of concrete only is ___________
Correct answer
4.5 to 5
Solution
Given data:
Step 2: Calculate loss of stress in steel.
Loss of stress = Step 3: Calculate loss of prestressing force.
Loss of force = Loss of stress .The loss of prestressing force is 4.8 kN.
- Width
- Depth
- Area of concrete
- Moment of Inertia
- Number of tendons , Area of each tendon
- Total area of steel
- Initial stress in steel
- Initial prestressing force
- Eccentricity : Tendons are from soffit. Neutral axis is at from soffit. .
- Modular ratio
Step 2: Calculate loss of stress in steel.
Loss of stress = Step 3: Calculate loss of prestressing force.
Loss of force = Loss of stress .The loss of prestressing force is 4.8 kN.
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