A T-beam behave as a rectangular beam of width equal to its flange it...
When the neutral axis remains in a flange, the lower part of N.A we do not consider in design so the upper part of N.A is like a rectangular.
Hence, the correct option is (C)
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A T-beam behave as a rectangular beam of width equal to its flange it...
T-Beam Behavior
The given question is related to the behavior of a T-beam, specifically its neutral axis. The neutral axis of a beam is the line along which there is no bending stress. In a T-beam, the flange is wider than the web, forming a T-shape. The neutral axis of a T-beam can be determined based on its geometry and the distribution of the reinforcement.
Explanation
The correct answer for this question is option 'C', which states that the neutral axis of a T-beam remains within the flange. Let's understand this in detail:
1. Definition of a T-Beam: A T-beam is a reinforced concrete beam that has a T-shaped cross-section. It consists of a flange (the top horizontal part) and a web (the vertical stem). The flange provides the beam with resistance against bending, while the web provides shear resistance.
2. Neutral Axis: The neutral axis is the line within the beam cross-section where the bending stress is zero. It separates the compression zone (top part) from the tension zone (bottom part) of the beam. The position of the neutral axis depends on the distribution of the concrete and reinforcement within the beam.
3. Centroid of T-Section: The centroid of a T-section is the point that represents the average position of the entire cross-sectional area. In a T-beam, the centroid of the T-section is located at the intersection of the centroid of the flange and the centroid of the web.
4. Neutral Axis and Centroid: In a T-beam, the neutral axis generally lies within the flange. This is because the flange is wider and provides more resistance against bending compared to the web. The centroid of the T-section, on the other hand, may or may not coincide with the neutral axis. It depends on the distribution of concrete and reinforcement.
5. Reinforcement: The reinforcement in a T-beam is typically provided in the form of steel bars placed in the flange and the web. The purpose of reinforcement is to resist tension and increase the overall strength and ductility of the beam.
Therefore, based on the above explanation, it can be concluded that the neutral axis of a T-beam remains within the flange. This is because the flange provides a higher resistance against bending compared to the web. However, the centroid of the T-section may or may not coincide with the neutral axis, depending on the distribution of concrete and reinforcement.