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Moment of Inertia of Transformed Section given Horizontal Shear Range Formula

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Moment of Inertia of Transformed Section is a particularly important parameter for the analysis of beams and columns. Check FAQs

I h = \frac{Q \cdot V r}{S r}

I_h - Moment of Inertia of Transformed Section?Q - Static Moment?V_r - Shear Range?S_r - Horizontal Shear Range?

Moment of Inertia of Transformed Section given Horizontal Shear Range Example

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Here is how the Moment of Inertia of Transformed Section given Horizontal Shear Range equation looks like with Values.

Here is how the Moment of Inertia of Transformed Section given Horizontal Shear Range equation looks like with Units.

Here is how the Moment of Inertia of Transformed Section given Horizontal Shear Range equation looks like.

125 = \frac{10 \cdot 80}{6.4}

125mm⁴ = \frac{10mm³ \cdot 80kN}{6.4kN/mm}

125 = \frac{10 \cdot 80}{6.4}

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Moment of Inertia of Transformed Section given Horizontal Shear Range Solution

Follow our step by step solution on how to calculate Moment of Inertia of Transformed Section given Horizontal Shear Range?

FIRST Step Consider the formula

I h = \frac{Q \cdot V r}{S r}

Next Step Substitute values of Variables

∴

I h = \frac{10mm³ \cdot 80kN}{6.4kN/mm}

Next Step Prepare to Evaluate

∴

I h = \frac{10 \cdot 80}{6.4}

Next Step Evaluate

∴

I h = 1.25E-10m⁴

LAST Step Convert to Output's Unit

∴

I h = 125mm⁴

Moment of Inertia of Transformed Section given Horizontal Shear Range Formula Elements

Variables

Moment of Inertia of Transformed Section

Moment of Inertia of Transformed Section is a particularly important parameter for the analysis of beams and columns.

Symbol: I_h

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Transformed Section

Static Moment

Static Moment of transformed compressive concrete area about neutral axis of transformed section.

Symbol: Q

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Static Moment

Shear Range

The Shear Range here is the difference between minimum and maximum shears at the point due to live load and impact.

Symbol: V_r

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Range

Horizontal Shear Range

The horizontal shear range at the juncture of the slab and beam at point under consideration.

Symbol: S_r

Measurement: Shear RangeUnit: kN/mm

Note: Value should be greater than 0.

Formulas to find Horizontal Shear Range

Other formulas in Shear Range category

Go Horizontal Shear Range at Juncture of Slab and Beam

S r = \frac{V r \cdot Q}{I h}

Go Shear Range due to Live and Impact Load given Horizontal Shear Range

V r = \frac{S r \cdot I h}{Q}

Go Static Moment of Transformed Section given Horizontal Shear Range

Q = \frac{S r \cdot I h}{V r}

Go Allowable Horizontal Shear for Welded Studs for 100,000 Cycles

Z r = 13.0 \cdot (d^{2})

How to Evaluate Moment of Inertia of Transformed Section given Horizontal Shear Range?

Moment of Inertia of Transformed Section given Horizontal Shear Range evaluator uses Moment of Inertia of Transformed Section = (Static Moment*Shear Range)/Horizontal Shear Range to evaluate the Moment of Inertia of Transformed Section, The Moment of Inertia of Transformed Section given Horizontal Shear Range is defined as second moment of area for a composite section using modular ratio. Moment of Inertia of Transformed Section is denoted by I_h symbol.

How to evaluate Moment of Inertia of Transformed Section given Horizontal Shear Range using this online evaluator? To use this online evaluator for Moment of Inertia of Transformed Section given Horizontal Shear Range, enter Static Moment (Q), Shear Range (V_r) & Horizontal Shear Range (S_r) and hit the calculate button.

FAQs on Moment of Inertia of Transformed Section given Horizontal Shear Range

What is the formula to find Moment of Inertia of Transformed Section given Horizontal Shear Range?

The formula of Moment of Inertia of Transformed Section given Horizontal Shear Range is expressed as Moment of Inertia of Transformed Section = (Static Moment*Shear Range)/Horizontal Shear Range. Here is an example- 1.3E+14 = (1E-08*80000)/6400000.

How to calculate Moment of Inertia of Transformed Section given Horizontal Shear Range?

With Static Moment (Q), Shear Range (V_r) & Horizontal Shear Range (S_r) we can find Moment of Inertia of Transformed Section given Horizontal Shear Range using the formula - Moment of Inertia of Transformed Section = (Static Moment*Shear Range)/Horizontal Shear Range.

Can the Moment of Inertia of Transformed Section given Horizontal Shear Range be negative?

No, the Moment of Inertia of Transformed Section given Horizontal Shear Range, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of Transformed Section given Horizontal Shear Range?

Moment of Inertia of Transformed Section given Horizontal Shear Range is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Moment of Inertia of Transformed Section given Horizontal Shear Range can be measured.

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Moment of Inertia of Transformed Section given Horizontal Shear Range Formula

Moment of Inertia of Transformed Section given Horizontal Shear Range Example

Moment of Inertia of Transformed Section given Horizontal Shear Range Solution

Moment of Inertia of Transformed Section given Horizontal Shear Range Formula Elements

Other formulas in Shear Range category

How to Evaluate Moment of Inertia of Transformed Section given Horizontal Shear Range?

FAQs on Moment of Inertia of Transformed Section given Horizontal Shear Range

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