Moment of Inertia of Primary Member using Collapse Prevention Level Calculator

✖Length of Primary Member can be defined as the measurement of primary element in length.ⓘ Length of Primary Member [L_p]			+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%
✖Collapse Prevention Level can be described as the building performance level which consists of the structural collapse prevention level with no consideration of nonstructural vulnerabilities.ⓘ Collapse Prevention Level [C_p]			+10% -10%

✖Moment of Inertia of Primary Member can be described as the quantity expressed by the body resisting angular acceleration.ⓘ Moment of Inertia of Primary Member using Collapse Prevention Level [I_p]

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Formula

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Moment of Inertia of Primary Member using Collapse Prevention Level

Formula

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

Example

`"85.00367mm⁴/mm"= (32*("1.5m")^4*"0.5m")/(10^7*"95.29")`

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Moment of Inertia of Primary Member using Collapse Prevention Level Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Primary Member = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Collapse Prevention Level)
I_p = (32*L_p^4*L_s)/(10^7*C_p)
This formula uses 4 Variables

Variables Used

Moment of Inertia of Primary Member - (Measured in Meter⁴ per Meter) - Moment of Inertia of Primary Member can be described as the quantity expressed by the body resisting angular acceleration.
Length of Primary Member - (Measured in Meter) - Length of Primary Member can be defined as the measurement of primary element in length.
Length of Secondary Member - (Measured in Meter) - Length of Secondary Member can be described as the measurement of the secondary element in length.
Collapse Prevention Level - Collapse Prevention Level can be described as the building performance level which consists of the structural collapse prevention level with no consideration of nonstructural vulnerabilities.

STEP 1: Convert Input(s) to Base Unit

Length of Primary Member: 1.5 Meter --> 1.5 Meter No Conversion Required
Length of Secondary Member: 0.5 Meter --> 0.5 Meter No Conversion Required
Collapse Prevention Level: 95.29 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_p = (32*L_p^4*L_s)/(10^7*C_p) --> (32*1.5^4*0.5)/(10^7*95.29)

Evaluating ... ...

I_p = 8.5003672998216E-08

STEP 3: Convert Result to Output's Unit

8.5003672998216E-08 Meter⁴ per Meter -->85.003672998216 Millimeter⁴ per Millimeter (Check conversion here)

FINAL ANSWER

85.003672998216 ≈ 85.00367 Millimeter⁴ per Millimeter <-- Moment of Inertia of Primary Member

(Calculation completed in 00.004 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 Primary Member using Collapse Prevention Level

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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 Primary Member using Collapse Prevention Level Formula

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

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 Primary Member using Collapse Prevention Level?

Moment of Inertia of Primary Member using Collapse Prevention Level calculator uses Moment of Inertia of Primary Member = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Collapse Prevention Level) to calculate the Moment of Inertia of Primary Member, The Moment of Inertia of Primary Member using Collapse Prevention Level 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 Primary Member is denoted by I_p symbol.

How to calculate Moment of Inertia of Primary Member using Collapse Prevention Level using this online calculator? To use this online calculator for Moment of Inertia of Primary Member using Collapse Prevention Level, enter Length of Primary Member (L_p), Length of Secondary Member (L_s) & Collapse Prevention Level (C_p) and hit the calculate button. Here is how the Moment of Inertia of Primary Member using Collapse Prevention Level calculation can be explained with given input values -> 3.2E+13 = (32*1.5^4*0.5)/(10^7*95.29).

FAQ

What is Moment of Inertia of Primary Member using Collapse Prevention Level?

The Moment of Inertia of Primary Member using Collapse Prevention Level 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_p = (32*L_p^4*L_s)/(10^7*C_p) or Moment of Inertia of Primary Member = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Collapse Prevention Level). Length of Primary Member can be defined as the measurement of primary element in length, Length of Secondary Member can be described as the measurement of the secondary element in length & Collapse Prevention Level can be described as the building performance level which consists of the structural collapse prevention level with no consideration of nonstructural vulnerabilities.

How to calculate Moment of Inertia of Primary Member using Collapse Prevention Level?

The Moment of Inertia of Primary Member using Collapse Prevention Level 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 Primary Member = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Collapse Prevention Level). To calculate Moment of Inertia of Primary Member using Collapse Prevention Level, you need Length of Primary Member (L_p), Length of Secondary Member (L_s) & Collapse Prevention Level (C_p). With our tool, you need to enter the respective value for Length of Primary Member, Length of Secondary Member & Collapse Prevention Level 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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