Difficulty: Easy
Correct Answer: remains within the flange
Explanation:
Introduction / Context:
T-beams arise when a slab and its supporting beam act monolithically. For flexural design, whether the section behaves as a simple rectangular section or a true T-section depends on the position of the neutral axis (N.A.) relative to the flange thickness.
Given Data / Assumptions:
Concept / Approach:
If the N.A. falls within the slab thickness, the entire compression zone is in the flange. The web is then largely unstressed in compression; the section can be analysed as a rectangular beam of width equal to the effective flange width. If the N.A. lies below the flange, compression spreads into the web and T-beam analysis is required.
Step-by-Step Solution:
Identify requirement for rectangular behaviour: compression block contained in the flange.This occurs when the neutral axis depth is less than or equal to the effective flange thickness.Therefore, the N.A. must remain within the flange.
Verification / Alternative check:
Design codes treat two cases: N.A. in flange (rectangular compression block) and N.A. in web (T-section). In the first case, breadth = effective flange width, depth = neutral axis depth within flange.
Why Other Options Are Wrong:
Common Pitfalls:
Assuming T-beam action always; ignoring effective flange width limits; misplacing N.A. without checking strain compatibility.
Final Answer:
remains within the flange
Discussion & Comments