Give step-by-step solution with explanation and final answer: Given explanation for why other options in correct. In a continuous beam, tendons are normally: Low over supports and high at midspan High over supports and low at midspan Flat throughout Randomly distributed
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Give step-by-step solution with explanation and final answer: Given explanation for why other options in correct. In a continuous beam, tendons are normally: Low over supports and high at midspan High over supports and low at midspan Flat throughout Randomly distributed
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Asked by: VARRI NAVEEN
Created at: 2025-10-27 06:35:48
Asked by: VARRI NAVEEN
Created at: 2025-10-27 06:35:48
Final Answer:
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# Correct Answer:
**High over supports and low at midspan**
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# Explanation
In a continuous beam, tendons (prestressed cables) are typically **high over supports and low at midspan** to counteract the bending moments experienced at different points of the beam.
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# Step-by Solution
### 1. Understanding Bending Moments in a Continuous Beam
- **At midspan:** The bending moment is **positive**, causing **sagging**.
- **Over supports:** The bending moment is **negative**, causing **hogging**.
### 2. Tendon Profile for Prestressing
- To **counteract** these moments, tendons are **tensioned** in a specific profile.
- **High over supports:** To generate a **compression** that counteracts hogging moments.
- **Low at midspan:** To generate a **compression** that counteracts sagging moments.
### 3. Why Tendons Are Not Flat Throughout
- A flat profile would not provide the necessary variation in prestressing force to effectively counteract the bending moments at different points.
### 4. Why Tendons Are Not Randomly Distributed
- Proper structural design requires a **predictable** and **optimized** tendon profile for safety and efficiency.
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# Why Other Options Are Incorrect
| Option | Explanation |
|---------|--------------|
| **Low over supports and high at midspan** | Opposite of typical prestressing profile; would not effectively counteract the hogging moments at supports. |
| **Flat throughout** | Does not provide the variable prestress needed to counteract the varying bending moments. |
| **Randomly distributed** | Lacks the systematic profile necessary for structural stability and efficiency. |
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# Final Answer
**High over supports and low at midspan**
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