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Length of Secondary Member given Capacity Spectrum Formula

GoLength of Secondary Member using Collapse Prevention Level Formula

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

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

L_s - Length of Secondary Member?C_s - Capacity Spectrum?I_s - Moment of Inertia of Secondary Member?S - Spacing of Secondary Members?

Length of Secondary Member given Capacity Spectrum Example

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Here is how the Length of Secondary Member given Capacity Spectrum equation looks like with Values.

Here is how the Length of Secondary Member given Capacity Spectrum equation looks like with Units.

Here is how the Length of Secondary Member given Capacity Spectrum equation looks like.

0.4999 = {(5.55 \cdot 10^{7} \cdot \frac{90}{32 \cdot 2.5})}^{\frac{1}{4}}

0.4999m = {(5.55 \cdot 10^{7} \cdot \frac{90mm⁴/mm}{32 \cdot 2.5m})}^{\frac{1}{4}}

0.4999 = {(5.55 \cdot 10^{7} \cdot \frac{90}{32 \cdot 2.5})}^{\frac{1}{4}}

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Length of Secondary Member given Capacity Spectrum Solution

Follow our step by step solution on how to calculate Length of Secondary Member given Capacity Spectrum?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L s = {(5.55 \cdot 10^{7} \cdot \frac{90mm⁴/mm}{32 \cdot 2.5m})}^{\frac{1}{4}}

Next Step Convert Units

∴

L s = {(5.55 \cdot 10^{7} \cdot \frac{9E-8m⁴/m}{32 \cdot 2.5m})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

L s = {(5.55 \cdot 10^{7} \cdot \frac{9E-8}{32 \cdot 2.5})}^{\frac{1}{4}}

Next Step Evaluate

∴

L s = 0.499874953097637m

LAST Step Rounding Answer

∴

L s = 0.4999m

Length of Secondary Member given Capacity Spectrum Formula Elements

Variables

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

Capacity Spectrum

Capacity Spectrum can be defined as the capacity curve transformed from shear force vs. roof displacement coordinates into spectral acceleration vs. spectral displacement coordinates.

Symbol: C_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Capacity Spectrum

Moment of Inertia of Secondary Member

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

Symbol: I_s

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

Note: Value can be positive or negative.

Formulas to find Moment of Inertia of Secondary Member

Spacing of Secondary Members

Spacing of Secondary Members can be described as the space in between the secondary members.

Symbol: S

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Spacing of Secondary Members

Other Formulas to find Length of Secondary Member

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}}

Other formulas in Ponding Considerations in Buildings category

Go Collapse Prevention Level

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

Go Capacity Spectrum

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

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 Moment of Inertia of Secondary Member given Capacity Spectrum

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

How to Evaluate Length of Secondary Member given Capacity Spectrum?

Length of Secondary Member given Capacity Spectrum evaluator uses Length of Secondary Member = (Capacity Spectrum*10^7*Moment of Inertia of Secondary Member/(32*Spacing of Secondary Members))^(1/4) to evaluate the Length of Secondary Member, The Length of Secondary Member given Capacity Spectrum formula is defined as the measure of the secondary element in distance. Length of Secondary Member is denoted by L_s symbol.

How to evaluate Length of Secondary Member given Capacity Spectrum using this online evaluator? To use this online evaluator for Length of Secondary Member given Capacity Spectrum, enter Capacity Spectrum (C_s), Moment of Inertia of Secondary Member (I_s) & Spacing of Secondary Members (S) and hit the calculate button.

FAQs on Length of Secondary Member given Capacity Spectrum

What is the formula to find Length of Secondary Member given Capacity Spectrum?

The formula of Length of Secondary Member given Capacity Spectrum is expressed as Length of Secondary Member = (Capacity Spectrum*10^7*Moment of Inertia of Secondary Member/(32*Spacing of Secondary Members))^(1/4). Here is an example- 0.360422 = (5.55*10^7*9E-08/(32*2.5))^(1/4).

How to calculate Length of Secondary Member given Capacity Spectrum?

With Capacity Spectrum (C_s), Moment of Inertia of Secondary Member (I_s) & Spacing of Secondary Members (S) we can find Length of Secondary Member given Capacity Spectrum using the formula - Length of Secondary Member = (Capacity Spectrum*10^7*Moment of Inertia of Secondary Member/(32*Spacing of Secondary Members))^(1/4).

What are the other ways to Calculate Length of Secondary Member?

Here are the different ways to Calculate Length of Secondary Member-

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

Can the Length of Secondary Member given Capacity Spectrum be negative?

No, the Length of Secondary Member given Capacity Spectrum, measured in Length cannot be negative.

Which unit is used to measure Length of Secondary Member given Capacity Spectrum?

Length of Secondary Member given Capacity Spectrum is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Secondary Member given Capacity Spectrum can be measured.

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Length of Secondary Member given Capacity Spectrum Formula

​GoLength of Secondary Member using Collapse Prevention Level Formula

Length of Secondary Member given Capacity Spectrum Example

Length of Secondary Member given Capacity Spectrum Solution

Length of Secondary Member given Capacity Spectrum Formula Elements

Other Formulas to find Length of Secondary Member

Other formulas in Ponding Considerations in Buildings category

How to Evaluate Length of Secondary Member given Capacity Spectrum?

FAQs on Length of Secondary Member given Capacity Spectrum

Variable Name

GoLength of Secondary Member using Collapse Prevention Level Formula