Length of Primary Member using Collapse Prevention Level Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Primary Member = ((Collapse Prevention Level*10^7*Moment of Inertia of Primary Member)/(32*Length of Secondary Member))^(1/4)
Lp = ((Cp*10^7*Ip)/(32*Ls))^(1/4)
This formula uses 4 Variables
Variables Used
Length of Primary Member - (Measured in Meter) - Length of Primary Member can be defined as the measurement of primary 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.
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 Secondary Member - (Measured in Meter) - Length of Secondary Member can be described as the measurement of the secondary element in length.
STEP 1: Convert Input(s) to Base Unit
Collapse Prevention Level: 95.29 --> No Conversion Required
Moment of Inertia of Primary Member: 85 Millimeter⁴ per Millimeter --> 8.5E-08 Meter⁴ per Meter (Check conversion here)
Length of Secondary Member: 0.5 Meter --> 0.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lp = ((Cp*10^7*Ip)/(32*Ls))^(1/4) --> ((95.29*10^7*8.5E-08)/(32*0.5))^(1/4)
Evaluating ... ...
Lp = 1.49998379603373
STEP 3: Convert Result to Output's Unit
1.49998379603373 Meter --> No Conversion Required
FINAL ANSWER
1.49998379603373 1.499984 Meter <-- Length of Primary Member
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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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)

Length of Primary Member using Collapse Prevention Level Formula

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

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 Length of Primary Member using Collapse Prevention Level?

Length of Primary Member using Collapse Prevention Level calculator uses Length of Primary Member = ((Collapse Prevention Level*10^7*Moment of Inertia of Primary Member)/(32*Length of Secondary Member))^(1/4) to calculate the Length of Primary Member, The Length of Primary Member using Collapse Prevention Level formula is defined as the measurement of the primary element in distance. Length of Primary Member is denoted by Lp symbol.

How to calculate Length of Primary Member using Collapse Prevention Level using this online calculator? To use this online calculator for Length of Primary Member using Collapse Prevention Level, enter Collapse Prevention Level (Cp), Moment of Inertia of Primary Member (Ip) & Length of Secondary Member (Ls) and hit the calculate button. Here is how the Length of Primary Member using Collapse Prevention Level calculation can be explained with given input values -> 0.339477 = ((95.29*10^7*8.5E-08)/(32*0.5))^(1/4).

FAQ

What is Length of Primary Member using Collapse Prevention Level?
The Length of Primary Member using Collapse Prevention Level formula is defined as the measurement of the primary element in distance and is represented as Lp = ((Cp*10^7*Ip)/(32*Ls))^(1/4) or Length of Primary Member = ((Collapse Prevention Level*10^7*Moment of Inertia of Primary Member)/(32*Length of Secondary Member))^(1/4). 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, Moment of Inertia of Primary Member can be described as the quantity expressed by the body resisting angular acceleration & Length of Secondary Member can be described as the measurement of the secondary element in length.
How to calculate Length of Primary Member using Collapse Prevention Level?
The Length of Primary Member using Collapse Prevention Level formula is defined as the measurement of the primary element in distance is calculated using Length of Primary Member = ((Collapse Prevention Level*10^7*Moment of Inertia of Primary Member)/(32*Length of Secondary Member))^(1/4). To calculate Length of Primary Member using Collapse Prevention Level, you need Collapse Prevention Level (Cp), Moment of Inertia of Primary Member (Ip) & Length of Secondary Member (Ls). With our tool, you need to enter the respective value for Collapse Prevention Level, Moment of Inertia of Primary Member & Length of Secondary Member 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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