Two rectangular under-reinforced concrete beam sectionsXandYare simila...
Both the section i.e. x and y are under reinforced. So, in both the cases the flexural strength (MOR) can be calculated from tension side.
When additional compression reinforcement is i.e. in case of cross-section y, netural axis will shift upward.
MOR = Tension ×Lever arm
In case of cross section y lever arm is more as depth of neutral axis is less. However, tensile force is constant in both cases as the steel would have yielded in both cases. Hence flexural capacity of 'y' is more.
Also, as section y is more strong in compression, yielding in steel will be more at limit state of collapse.
Hence option (a) is corect.
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Two rectangular under-reinforced concrete beam sectionsXandYare simila...
Answer:
Flexural Strength and Ductility of Rectangular Under-reinforced Concrete Beam Sections
Flexural Strength and Ductility are two important properties of rectangular under-reinforced concrete beam sections. The statement given in the question is related to the comparison of these properties between two similar beam sections X and Y with a difference in their longitudinal compression reinforcement.
Comparison of Beam Sections X and Y
The correct statement is option 'A', which means that section X has less flexural strength and is less ductile than section Y. This can be explained as follows:
- Flexural Strength: The flexural strength of a beam section depends on its moment capacity, which is the maximum bending moment that the section can resist before failure. The moment capacity is directly proportional to the amount of reinforcement provided in the tension zone of the section. As section Y has more longitudinal compression reinforcement than section X, it will have a higher moment capacity and thus higher flexural strength.
- Ductility: The ductility of a beam section is its ability to absorb energy and deform plastically before failure. It is measured by the strain at the tensile reinforcement at peak load. The strain at peak load is inversely proportional to the amount of reinforcement provided in the tension zone of the section. As section Y has more longitudinal compression reinforcement than section X, it will have a lower strain at peak load and thus less ductility.
Conclusion
Hence, the correct statement is option 'A' as section X has less flexural strength and is less ductile than section Y.
Two rectangular under-reinforced concrete beam sectionsXandYare simila...
Two beam section is given when one horizontal netrual axis in one beam is xx and in other beam horizontal netrual axis is yy
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