Building Height for Steel Eccentrically Braced Frames given Fundamental Period Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Building = (Fundamental Period/0.03)^(4/3)
hn = (T/0.03)^(4/3)
This formula uses 2 Variables
Variables Used
Height of Building - (Measured in Meter) - The Height of Building is the height above the basic to the highest level of the building.
Fundamental Period - (Measured in Second) - Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.
STEP 1: Convert Input(s) to Base Unit
Fundamental Period: 0.17 Second --> 0.17 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hn = (T/0.03)^(4/3) --> (0.17/0.03)^(4/3)
Evaluating ... ...
hn = 10.1026867890077
STEP 3: Convert Result to Output's Unit
10.1026867890077 Meter -->33.1452978640659 Foot (Check conversion here)
FINAL ANSWER
33.1452978640659 โ‰ˆ 33.1453 Foot <-- Height of Building
(Calculation completed in 00.004 seconds)

Credits

Created by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has created this Calculator and 200+ more calculators!
Verified by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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21 Seismic Loads Calculators

Fundamental Period given Seismic Response Coefficient
Go Fundamental Period = (1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Seismic Response Coefficient))^(3/2)
Seismic Coefficient for Short Period Structures
Go Seismic Coefficient for Short Period Structures = (Seismic Response Coefficient*(Response Modification Factor*Fundamental Period^(2/3)))/1.2
Response Modification Factor
Go Response Modification Factor = 1.2*Seismic Coefficient for Short Period Structures/(Seismic Response Coefficient*Fundamental Period^(2/3))
Seismic Response Coefficient given Fundamental Period
Go Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3))
Seismic Coefficient for Velocity Dependent Structures
Go Seismic Coefficient for Velocity Dependent = Seismic Response Coefficient*Response Modification Factor /2.5
Seismic Response Coefficient given Seismic Coefficient for Velocity Dependent Structures
Go Seismic Response Coefficient = 2.5*Seismic Coefficient for Velocity Dependent/Response Modification Factor
Response Modification Factor by Velocity Dependent Structures
Go Response Modification Factor = 2.5*Seismic Coefficient for Velocity Dependent/Seismic Response Coefficient
Lateral Force
Go Lateral Force = Lateral Seismic Force/Vertical Distribution Factor
Vertical Distribution Factor given Lateral Force
Go Vertical Distribution Factor = Lateral Seismic Force/Lateral Force
Lateral Seismic Force
Go Lateral Seismic Force = Vertical Distribution Factor*Lateral Force
Total Lateral Force Acting in Direction of each of Principal Axis
Go Lateral Force = Seismic Response Coefficient*Total Dead Load
Seismic Response Coefficient given Base Shear
Go Seismic Response Coefficient = Lateral Force/Total Dead Load
Total Dead Load given Base Shear
Go Total Dead Load = Lateral Force/Seismic Response Coefficient
Building Height for Steel Frame given Fundamental Period
Go Height of Building = (Fundamental Period/0.035)^(4/3)
Building Height for Steel Eccentrically Braced Frames given Fundamental Period
Go Height of Building = (Fundamental Period/0.03)^(4/3)
Building Height for Reinforced Concrete Frames given Fundamental Period
Go Height of Building = (Fundamental Period/0.03)^(4/3)
Building Height for other Buildings given Fundamental Period
Go Height of Building = (Fundamental Period/0.02)^(4/3)
Fundamental Period for Steel Eccentrically Braced Frames
Go Fundamental Period = 0.03*Height of Building^(3/4)
Fundamental Period for other Buildings
Go Fundamental Period = 0.02*Height of Building^(3/4)
Fundamental Period for Steel Frames
Go Fundamental Period = 0.035*Height of Building^(3/4)
Fundamental Period for Reinforced Concrete Frames
Go Fundamental Period = 0.03*Height of Building^(3/4)

Building Height for Steel Eccentrically Braced Frames given Fundamental Period Formula

Height of Building = (Fundamental Period/0.03)^(4/3)
hn = (T/0.03)^(4/3)

What is Fundamental Period?

Fundamental natural period T is an inherent property of a building. Any alterations made to the building will change its T. Fundamental natural periods T of normal single storey to 20 storey buildings are usually in the range 0.05-2.00 sec.

How to Calculate Building Height for Steel Eccentrically Braced Frames given Fundamental Period?

Building Height for Steel Eccentrically Braced Frames given Fundamental Period calculator uses Height of Building = (Fundamental Period/0.03)^(4/3) to calculate the Height of Building, The Building Height for Steel Eccentrically Braced Frames given Fundamental Period is defined as height of the building when the seismic coefficient is considered as 0.03, similar to reinforced concrete frames. Height of Building is denoted by hn symbol.

How to calculate Building Height for Steel Eccentrically Braced Frames given Fundamental Period using this online calculator? To use this online calculator for Building Height for Steel Eccentrically Braced Frames given Fundamental Period, enter Fundamental Period (T) and hit the calculate button. Here is how the Building Height for Steel Eccentrically Braced Frames given Fundamental Period calculation can be explained with given input values -> 108.7444 = (0.17/0.03)^(4/3).

FAQ

What is Building Height for Steel Eccentrically Braced Frames given Fundamental Period?
The Building Height for Steel Eccentrically Braced Frames given Fundamental Period is defined as height of the building when the seismic coefficient is considered as 0.03, similar to reinforced concrete frames and is represented as hn = (T/0.03)^(4/3) or Height of Building = (Fundamental Period/0.03)^(4/3). Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.
How to calculate Building Height for Steel Eccentrically Braced Frames given Fundamental Period?
The Building Height for Steel Eccentrically Braced Frames given Fundamental Period is defined as height of the building when the seismic coefficient is considered as 0.03, similar to reinforced concrete frames is calculated using Height of Building = (Fundamental Period/0.03)^(4/3). To calculate Building Height for Steel Eccentrically Braced Frames given Fundamental Period, you need Fundamental Period (T). With our tool, you need to enter the respective value for Fundamental Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Height of Building?
In this formula, Height of Building uses Fundamental Period. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of Building = (Fundamental Period/0.035)^(4/3)
  • Height of Building = (Fundamental Period/0.03)^(4/3)
  • Height of Building = (Fundamental Period/0.02)^(4/3)
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