Moment of Inertia of Secondary Member given Capacity Spectrum Calculator

✖Spacing of Secondary Members can be described as the space in between the secondary members.ⓘ Spacing of Secondary Members [S]			+10% -10%
✖Length of Secondary Member can be described as the measurement of the secondary element in length.ⓘ Length of Secondary Member [L_s]			+10% -10%
✖Capacity Spectrum can be defined as the capacity curve transformed from shear force vs. roof displacement coordinates into spectral acceleration vs. spectral displacement coordinates.ⓘ Capacity Spectrum [C_s]			+10% -10%

✖Moment of Inertia of Secondary Member can be described as the quantity expressed by the body resisting angular acceleration.ⓘ Moment of Inertia of Secondary Member given Capacity Spectrum [I_s]

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Formula

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Moment of Inertia of Secondary Member given Capacity Spectrum

Formula

`"I"_{"s"} = (32*"S"*"L"_{"s"}^4)/(10^7*"C"_{"s"})`

Example

`"90.09009mm⁴/mm"=(32*"2.5m"*("0.5m")^4)/(10^7*"5.55")`

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Moment of Inertia of Secondary Member given Capacity Spectrum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Secondary Member = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Capacity Spectrum)
I_s = (32*S*L_s^4)/(10^7*C_s)
This formula uses 4 Variables

Variables Used

Moment of Inertia of Secondary Member - (Measured in Meter⁴ per Meter) - Moment of Inertia of Secondary Member can be described as the quantity expressed by the body resisting angular acceleration.
Spacing of Secondary Members - (Measured in Meter) - Spacing of Secondary Members can be described as the space in between the secondary members.
Length of Secondary Member - (Measured in Meter) - Length of Secondary Member can be described as the measurement of the secondary element in length.
Capacity Spectrum - Capacity Spectrum can be defined as the capacity curve transformed from shear force vs. roof displacement coordinates into spectral acceleration vs. spectral displacement coordinates.

STEP 1: Convert Input(s) to Base Unit

Spacing of Secondary Members: 2.5 Meter --> 2.5 Meter No Conversion Required
Length of Secondary Member: 0.5 Meter --> 0.5 Meter No Conversion Required
Capacity Spectrum: 5.55 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_s = (32*S*L_s^4)/(10^7*C_s) --> (32*2.5*0.5^4)/(10^7*5.55)

Evaluating ... ...

I_s = 9.00900900900901E-08

STEP 3: Convert Result to Output's Unit

9.00900900900901E-08 Meter⁴ per Meter -->90.0900900900901 Millimeter⁴ per Millimeter (Check conversion here)

FINAL ANSWER

90.0900900900901 ≈ 90.09009 Millimeter⁴ per Millimeter <-- Moment of Inertia of Secondary Member

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Design of Steel Structures » Bearing, Stresses, Plate Girders & Ponding Considerations » Ponding Considerations in Buildings » Moment of Inertia of Secondary Member given Capacity Spectrum

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< 7 Ponding Considerations in Buildings Calculators

Length of Primary Member using Collapse Prevention Level

Go Length of Primary Member = ((Collapse Prevention Level*10^7*Moment of Inertia of Primary Member)/(32*Length of Secondary Member))^(1/4)

Length of Secondary Member given Capacity Spectrum

Go Length of Secondary Member = (Capacity Spectrum*10^7*Moment of Inertia of Secondary Member/(32*Spacing of Secondary Members))^(1/4)

Moment of Inertia of Primary Member using Collapse Prevention Level

Go Moment of Inertia of Primary Member = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Collapse Prevention Level)

Length of Secondary Member using Collapse Prevention Level

Go Length of Secondary Member = (Collapse Prevention Level*10^7*Moment of Inertia of Primary Member)/(32*Length of Primary Member^4)

Collapse Prevention Level

Go Collapse Prevention Level = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Moment of Inertia of Primary Member)

Capacity Spectrum

Go Capacity Spectrum = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Moment of Inertia of Secondary Member)

Moment of Inertia of Secondary Member given Capacity Spectrum

Go Moment of Inertia of Secondary Member = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Capacity Spectrum)

Moment of Inertia of Secondary Member given Capacity Spectrum Formula

Moment of Inertia of Secondary Member = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Capacity Spectrum)
I_s = (32*S*L_s^4)/(10^7*C_s)

What is Capacity Spectrum?

The Capacity Spectrum can be defined as the capacity curve transformed from shear force vs. roof displacement coordinates into spectral acceleration vs. spectral displacement coordinates.

What is Collapse Prevention Level?

The Collapse Prevention Level is defined as the building performance level consisting of the structural collapse prevention level with no consideration of nonstructural vulnerabilities, except that parapets and heavy appendages are rehabilitated.

How to Calculate Moment of Inertia of Secondary Member given Capacity Spectrum?

Moment of Inertia of Secondary Member given Capacity Spectrum calculator uses Moment of Inertia of Secondary Member = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Capacity Spectrum) to calculate the Moment of Inertia of Secondary Member, The Moment of Inertia of Secondary Member given Capacity Spectrum formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation. Moment of Inertia of Secondary Member is denoted by I_s symbol.

How to calculate Moment of Inertia of Secondary Member given Capacity Spectrum using this online calculator? To use this online calculator for Moment of Inertia of Secondary Member given Capacity Spectrum, enter Spacing of Secondary Members (S), Length of Secondary Member (L_s) & Capacity Spectrum (C_s) and hit the calculate button. Here is how the Moment of Inertia of Secondary Member given Capacity Spectrum calculation can be explained with given input values -> 3.3E+11 = (32*2.5*0.5^4)/(10^7*5.55).

FAQ

What is Moment of Inertia of Secondary Member given Capacity Spectrum?

The Moment of Inertia of Secondary Member given Capacity Spectrum formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation and is represented as I_s = (32*S*L_s^4)/(10^7*C_s) or Moment of Inertia of Secondary Member = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Capacity Spectrum). Spacing of Secondary Members can be described as the space in between the secondary members, Length of Secondary Member can be described as the measurement of the secondary element in length & Capacity Spectrum can be defined as the capacity curve transformed from shear force vs. roof displacement coordinates into spectral acceleration vs. spectral displacement coordinates.

How to calculate Moment of Inertia of Secondary Member given Capacity Spectrum?

The Moment of Inertia of Secondary Member given Capacity Spectrum formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation is calculated using Moment of Inertia of Secondary Member = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Capacity Spectrum). To calculate Moment of Inertia of Secondary Member given Capacity Spectrum, you need Spacing of Secondary Members (S), Length of Secondary Member (L_s) & Capacity Spectrum (C_s). With our tool, you need to enter the respective value for Spacing of Secondary Members, Length of Secondary Member & Capacity Spectrum and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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