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Collapse Prevention Level Formula

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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. Check FAQs

C p = \frac{32 \cdot {L p}^{4} \cdot L s}{10^{7} \cdot I p}

C_p - Collapse Prevention Level?L_p - Length of Primary Member?L_s - Length of Secondary Member?I_p - Moment of Inertia of Primary Member?

Collapse Prevention Level Example

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Here is how the Collapse Prevention Level equation looks like with Values.

Here is how the Collapse Prevention Level equation looks like with Units.

Here is how the Collapse Prevention Level equation looks like.

95.2941 = \frac{32 \cdot {1.5}^{4} \cdot 0.5}{10^{7} \cdot 85}

95.2941 = \frac{32 \cdot {1.5m}^{4} \cdot 0.5m}{10^{7} \cdot 85mm⁴/mm}

95.2941 = \frac{32 \cdot {1.5}^{4} \cdot 0.5}{10^{7} \cdot 85}

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Collapse Prevention Level Solution

Follow our step by step solution on how to calculate Collapse Prevention Level?

FIRST Step Consider the formula

C p = \frac{32 \cdot {L p}^{4} \cdot L s}{10^{7} \cdot I p}

Next Step Substitute values of Variables

∴

C p = \frac{32 \cdot {1.5m}^{4} \cdot 0.5m}{10^{7} \cdot 85mm⁴/mm}

Next Step Convert Units

∴

C p = \frac{32 \cdot {1.5m}^{4} \cdot 0.5m}{10^{7} \cdot 8.5E-8m⁴/m}

Next Step Prepare to Evaluate

∴

C p = \frac{32 \cdot {1.5}^{4} \cdot 0.5}{10^{7} \cdot 8.5E-8}

Next Step Evaluate

∴

C p = 95.2941176470588

LAST Step Rounding Answer

∴

C p = 95.2941

Collapse Prevention Level Formula Elements

Variables

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.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Collapse Prevention Level

Length of Primary Member

Length of Primary Member can be defined as the measurement of primary element in length.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Primary Member

Length of Secondary Member

Length of Secondary Member can be described as the measurement of the secondary element in length.

Symbol: L_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Secondary Member

Moment of Inertia of Primary Member

Moment of Inertia of Primary Member can be described as the quantity expressed by the body resisting angular acceleration.

Symbol: I_p

Measurement: Moment of Inertia per Unit LengthUnit: mm⁴/mm

Note: Value can be positive or negative.

Formulas to find Moment of Inertia of Primary Member

Other formulas in Ponding Considerations in Buildings category

Go Capacity Spectrum

C s = \frac{32 \cdot S \cdot {L s}^{4}}{10^{7} \cdot I s}

Go Length of Secondary Member using Collapse Prevention Level

L s = \frac{C p \cdot 10^{7} \cdot I p}{32 \cdot {L p}^{4}}

Go Length of Primary Member using Collapse Prevention Level

L p = {(\frac{C p \cdot 10^{7} \cdot I p}{32 \cdot L s})}^{\frac{1}{4}}

Go Length of Secondary Member given Capacity Spectrum

L s = {(C s \cdot 10^{7} \cdot \frac{I s}{32 \cdot S})}^{\frac{1}{4}}

How to Evaluate Collapse Prevention Level?

Collapse Prevention Level evaluator uses Collapse Prevention Level = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Moment of Inertia of Primary Member) to evaluate 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 evaluate Collapse Prevention Level using this online evaluator? To use this online evaluator 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.

FAQs on Collapse Prevention Level

What is the formula to find Collapse Prevention Level?

The formula of Collapse Prevention Level is expressed as Collapse Prevention Level = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Moment of Inertia of Primary Member). Here is an example- 95.29412 = (32*1.5^4*0.5)/(10^7*8.5E-08).

How to calculate Collapse Prevention Level?

With Length of Primary Member (L_p), Length of Secondary Member (L_s) & Moment of Inertia of Primary Member (I_p) we can find Collapse Prevention Level using the formula - Collapse Prevention Level = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Moment of Inertia of Primary Member).

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Collapse Prevention Level Formula

Collapse Prevention Level Example

Collapse Prevention Level Solution

Collapse Prevention Level Formula Elements

Other formulas in Ponding Considerations in Buildings category

How to Evaluate Collapse Prevention Level?

FAQs on Collapse Prevention Level

Variable Name