For the stiffness criteria of a simply supported beam the ratio of its span to depth shall not exceed:a)7b)10c)20d)26Correct answer is option 'C'. Can you explain this answer?

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Answer

Stiffness Criteria for Simply Supported Beam:
To ensure the structural integrity and stability of a simply supported beam, certain criteria must be met. One of the important criteria is the ratio of span to depth of the beam.

Maximum Ratio of Span to Depth:
- The maximum ratio of span to depth for a simply supported beam is typically set at 20.
- This means that the length of the beam (span) should not exceed 20 times its depth.

Reasoning Behind the Limit:
- The span-to-depth ratio is a critical factor in determining the stiffness of a beam.
- A higher ratio indicates a more slender beam, which may lead to increased deflection and reduced stiffness.
- By limiting the ratio to 20, the beam is designed to have adequate stiffness and strength to support the applied loads without excessive deflection.

Significance of the Limit:
- Adhering to the maximum span-to-depth ratio helps in preventing structural failures due to excessive deflection.
- It ensures that the beam is adequately designed to withstand the expected loads and maintain structural stability.
Therefore, the correct answer to the question is option C) 20, as it represents the maximum allowable ratio of span to depth for a simply supported beam based on stiffness criteria.

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