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Fundamental Period for Reinforced Concrete Frames Formula

GoFundamental Period given Seismic Response Coefficient Formula

GoFundamental Period for Steel Frames Formula

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Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building. Check FAQs

T = 0.03 \cdot {h n}^{\frac{3}{4}}

T - Fundamental Period?h_n - Height of Building?

Fundamental Period for Reinforced Concrete Frames Example

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Here is how the Fundamental Period for Reinforced Concrete Frames equation looks like with Values.

Here is how the Fundamental Period for Reinforced Concrete Frames equation looks like with Units.

Here is how the Fundamental Period for Reinforced Concrete Frames equation looks like.

0.1656 = 0.03 \cdot 32^{\frac{3}{4}}

0.1656s = 0.03 \cdot {32ft}^{\frac{3}{4}}

0.1656 = 0.03 \cdot 32^{\frac{3}{4}}

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Fundamental Period for Reinforced Concrete Frames Solution

Follow our step by step solution on how to calculate Fundamental Period for Reinforced Concrete Frames?

FIRST Step Consider the formula

T = 0.03 \cdot {h n}^{\frac{3}{4}}

Next Step Substitute values of Variables

∴

T = 0.03 \cdot {32ft}^{\frac{3}{4}}

Next Step Convert Units

∴

T = 0.03 \cdot {9.7536m}^{\frac{3}{4}}

Next Step Prepare to Evaluate

∴

T = 0.03 \cdot {9.7536}^{\frac{3}{4}}

Next Step Evaluate

∴

T = 0.165575075008253s

LAST Step Rounding Answer

∴

T = 0.1656s

Fundamental Period for Reinforced Concrete Frames Formula Elements

Variables

Fundamental Period

Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Fundamental Period

Height of Building

The Height of Building is the height above the basic to the highest level of the building.

Symbol: h_n

Measurement: LengthUnit: ft

Note: Value should be greater than 0.

Formulas to find Height of Building

Other Formulas to find Fundamental Period

Go Fundamental Period given Seismic Response Coefficient

T = {(1.2 \cdot \frac{C v}{R \cdot C s})}^{\frac{3}{2}}

Go Fundamental Period for Steel Frames

T = 0.035 \cdot {h n}^{\frac{3}{4}}

Go Fundamental Period for Steel Eccentrically Braced Frames

T = 0.03 \cdot {h n}^{\frac{3}{4}}

Go Fundamental Period for other Buildings

T = 0.02 \cdot {h n}^{\frac{3}{4}}

Other formulas in Seismic Loads category

Go Total Lateral Force Acting in Direction of each of Principal Axis

V = C s \cdot W

Go Seismic Response Coefficient given Base Shear

C s = \frac{V}{W}

Go Total Dead Load given Base Shear

W = \frac{V}{C s}

Go Seismic Response Coefficient given Fundamental Period

C s = 1.2 \cdot \frac{C v}{R \cdot T^{\frac{2}{3}}}

How to Evaluate Fundamental Period for Reinforced Concrete Frames?

Fundamental Period for Reinforced Concrete Frames evaluator uses Fundamental Period = 0.03*Height of Building^(3/4) to evaluate the Fundamental Period, The Fundamental Period for Reinforced Concrete Frames formula calculates fundamental period for reinforced concrete frames when we have a prior info of the height of the building. Fundamental Period is denoted by T symbol.

How to evaluate Fundamental Period for Reinforced Concrete Frames using this online evaluator? To use this online evaluator for Fundamental Period for Reinforced Concrete Frames, enter Height of Building (h_n) and hit the calculate button.

FAQs on Fundamental Period for Reinforced Concrete Frames

What is the formula to find Fundamental Period for Reinforced Concrete Frames?

The formula of Fundamental Period for Reinforced Concrete Frames is expressed as Fundamental Period = 0.03*Height of Building^(3/4). Here is an example- 0.165575 = 0.03*9.75360000003901^(3/4).

How to calculate Fundamental Period for Reinforced Concrete Frames?

With Height of Building (h_n) we can find Fundamental Period for Reinforced Concrete Frames using the formula - Fundamental Period = 0.03*Height of Building^(3/4).

What are the other ways to Calculate Fundamental Period?

Here are the different ways to Calculate Fundamental Period-

Fundamental Period=(1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Seismic Response Coefficient))^(3/2)
Fundamental Period=0.035*Height of Building^(3/4)
Fundamental Period=0.03*Height of Building^(3/4)

Can the Fundamental Period for Reinforced Concrete Frames be negative?

No, the Fundamental Period for Reinforced Concrete Frames, measured in Time cannot be negative.

Which unit is used to measure Fundamental Period for Reinforced Concrete Frames?

Fundamental Period for Reinforced Concrete Frames is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Fundamental Period for Reinforced Concrete Frames can be measured.

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