The following two statements pertain to a simply supported under reinf...
Under Reinforced Beam:
- Reinforced concrete beam sections in which the steel reaches yield strain at loads lower than the load at which the concrete reaches failure strain are called under-reinforced sections.
- But yielding doesn't means complete failure of the structure, complete failure is always due to the crushing of concrete whether it is under reinforced section or over over-reinforced section.
So, statement is false
- Every singly reinforced beam should be designed as under-reinforced sections because this section gives enough warning before failure.
- Yielding of steel in the under-reinforced beam section does not mean the structure has failed, as when steel yields, excessive deflection and cracking in beam will occur before failure which gives enough time to occupants to escape before the section fails.
- The failure in the under-reinforced beam section is due to the steel reaching its failure strain before the concrete reaches its failure strain.
The characteristics of under-reinforced section and over reinforced section when compared with the balanced section are given below in the tabulated form.
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The following two statements pertain to a simply supported under reinf...
Yielding of steel in a simply supported under reinforced concrete beam:
- In a simply supported under reinforced concrete beam, the steel reinforcement is not able to reach its yield strength before the concrete reaches its ultimate compressive strain.
- This results in the failure of the beam due to the yielding of steel, as the concrete fails in compression before the steel reinforcement yields.
- Therefore, the statement "The failure of the beam takes place due to the yielding of steel" is true.
Moment of resistance of the beam in comparison to the balanced section:
- In an under reinforced concrete beam, the moment of resistance is less than that of the balanced section of the beam.
- The balanced section of a reinforced concrete beam is the section where both concrete and steel reach their limit state simultaneously.
- In an under reinforced beam, the concrete reaches its ultimate compressive strain before the steel reinforcement reaches its yield strength, resulting in a lower moment of resistance compared to the balanced section.
- Therefore, the statement "The moment of resistance of the beam is more than that of the balanced section of the beam" is false.
Therefore, both statements are true. The failure of the beam occurs due to the yielding of steel, and the moment of resistance of the beam is less than that of the balanced section.
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