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Moment of Inertia of Secondary Member given Capacity Spectrum Formula

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

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

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

Moment of Inertia of Secondary Member given Capacity Spectrum Example

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

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

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

90.0901 = \frac{32 \cdot 2.5 \cdot {0.5}^{4}}{10^{7} \cdot 5.55}

90.0901mm⁴/mm = \frac{32 \cdot 2.5m \cdot {0.5m}^{4}}{10^{7} \cdot 5.55}

90.0901 = \frac{32 \cdot 2.5 \cdot {0.5}^{4}}{10^{7} \cdot 5.55}

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Moment of Inertia of Secondary Member given Capacity Spectrum Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I s = \frac{32 \cdot 2.5m \cdot {0.5m}^{4}}{10^{7} \cdot 5.55}

Next Step Prepare to Evaluate

∴

I s = \frac{32 \cdot 2.5 \cdot {0.5}^{4}}{10^{7} \cdot 5.55}

Next Step Evaluate

∴

I s = 9.00900900900901E-08m⁴/m

Next Step Convert to Output's Unit

∴

I s = 90.0900900900901mm⁴/mm

LAST Step Rounding Answer

∴

I s = 90.0901mm⁴/mm

Moment of Inertia of Secondary Member given Capacity Spectrum Formula Elements

Variables

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

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

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 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}}

How to Evaluate Moment of Inertia of Secondary Member given Capacity Spectrum?

Moment of Inertia of Secondary Member given Capacity Spectrum evaluator uses Moment of Inertia of Secondary Member = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Capacity Spectrum) to evaluate the Moment of Inertia of Secondary Member, The Moment of Inertia of Secondary Member given Capacity Spectrum formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation. Moment of Inertia of Secondary Member is denoted by I_s symbol.

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

FAQs on Moment of Inertia of Secondary Member given Capacity Spectrum

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

The formula of Moment of Inertia of Secondary Member given Capacity Spectrum is expressed as Moment of Inertia of Secondary Member = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Capacity Spectrum). Here is an example- 3.3E+11 = (32*2.5*0.5^4)/(10^7*5.55).

How to calculate Moment of Inertia of Secondary Member given Capacity Spectrum?

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

Can the Moment of Inertia of Secondary Member given Capacity Spectrum be negative?

Yes, the Moment of Inertia of Secondary Member given Capacity Spectrum, measured in Moment of Inertia per Unit Length can be negative.

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

Moment of Inertia of Secondary Member given Capacity Spectrum is usually measured using the Millimeter⁴ per Millimeter[mm⁴/mm] for Moment of Inertia per Unit Length. Meter⁴ per Meter[mm⁴/mm], Centimeter⁴ per Micrometer[mm⁴/mm], Centimeter⁴ per Centimeter[mm⁴/mm] are the few other units in which Moment of Inertia of Secondary Member given Capacity Spectrum can be measured.

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Moment of Inertia of Secondary Member given Capacity Spectrum Formula

Moment of Inertia of Secondary Member given Capacity Spectrum Example

Moment of Inertia of Secondary Member given Capacity Spectrum Solution

Moment of Inertia of Secondary Member given Capacity Spectrum Formula Elements

Other formulas in Ponding Considerations in Buildings category

How to Evaluate Moment of Inertia of Secondary Member given Capacity Spectrum?

FAQs on Moment of Inertia of Secondary Member given Capacity Spectrum

Variable Name