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%
✖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 [I_p]			+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]

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Formula

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Collapse Prevention Level

Formula

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

Example

`"95.29412"=(32*("1.5m")^4*"0.5m")/(10^7*"85mm⁴/mm")`

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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)
C_p = (32*L_p^4*L_s)/(10^7*I_p)
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

C_p = (32*L_p^4*L_s)/(10^7*I_p) --> (32*1.5^4*0.5)/(10^7*8.5E-08)

Evaluating ... ...

C_p = 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)

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Home » Engineering » Civil » Design of Steel Structures » Bearing, Stresses, Plate Girders & Ponding Considerations » Ponding Considerations in Buildings » Collapse Prevention Level

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Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has verified this Calculator and 600+ more calculators!

< 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)

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)

Capacity Spectrum

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

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