Collapse Prevention Level Solution

STEP 0: Pre-Calculation Summary
Formula Used
Collapse Prevention Level = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Moment of Inertia of Primary Member)
Cp = (32*Lp^4*Ls)/(10^7*Ip)
This formula uses 4 Variables
Variables Used
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.
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.
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.
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
Moment of Inertia of Primary Member: 85 Millimeter⁴ per Millimeter --> 8.5E-08 Meter⁴ per Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cp = (32*Lp^4*Ls)/(10^7*Ip) --> (32*1.5^4*0.5)/(10^7*8.5E-08)
Evaluating ... ...
Cp = 95.2941176470588
STEP 3: Convert Result to Output's Unit
95.2941176470588 --> No Conversion Required
FINAL ANSWER
95.2941176470588 95.29412 <-- Collapse Prevention Level
(Calculation completed in 00.004 seconds)

Credits

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Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
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Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Ponding Considerations in Buildings Calculators

Length of Primary Member using Collapse Prevention Level
​ LaTeX ​ 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 using Collapse Prevention Level
​ LaTeX ​ 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
​ LaTeX ​ Go Collapse Prevention Level = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Moment of Inertia of Primary Member)
Capacity Spectrum
​ LaTeX ​ Go Capacity Spectrum = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Moment of Inertia of Secondary Member)

Collapse Prevention Level Formula

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

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 Collapse Prevention Level?

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

How to calculate Collapse Prevention Level using this online calculator? To use this online calculator for Collapse Prevention Level, enter Length of Primary Member (Lp), Length of Secondary Member (Ls) & Moment of Inertia of Primary Member (Ip) and hit the calculate button. Here is how the Collapse Prevention Level calculation can be explained with given input values -> 95.29412 = (32*1.5^4*0.5)/(10^7*8.5E-08).

FAQ

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