Building Height Formula:
Definition: This calculator estimates the height of a reinforced concrete frame building based on its fundamental period of vibration.
Purpose: It helps structural engineers and architects determine approximate building height during preliminary design phases.
The calculator uses the formula:
Where:
Explanation: The formula relates a building's natural period of vibration to its height, accounting for typical stiffness characteristics of reinforced concrete frames.
Details: Accurate height estimation helps in preliminary design checks, seismic analysis, and verifying dynamic characteristics of structures.
Tips: Enter the fundamental period in seconds and tolerance percentage (default 5%). The calculator provides both the estimated height and tolerance range.
Q1: What is fundamental period?
A: The time taken for one complete oscillation of the building during free vibration.
Q2: Why is there a tolerance percentage?
A: The formula provides an estimate; actual heights may vary due to design differences, so a tolerance range accounts for this variability.
Q3: Is this formula code-compliant?
A: This is an empirical formula for estimation. Always verify with applicable building codes and detailed analysis.
Q4: How do I determine the fundamental period?
A: Through dynamic analysis, or for preliminary estimates, use code-prescribed formulas based on building type and height.
Q5: Does this work for all building types?
A: No, this specifically applies to moment-resisting reinforced concrete frames. Other systems have different coefficients.