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Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon Formula

GoMoment of Inertia for Deflection due to Prestressing of Singly Harped Tendon Formula

GoMoment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon Formula

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Moment of Inertia in Prestress is the Moment of Inertia which is defined as the measure of the resistance of a body to angular acceleration about a given axis. Check FAQs

I p = (\frac{5}{384}) \cdot (\frac{W up \cdot L^{4}}{e})

I_p - Moment of Inertia in Prestress?W_up - Upward Thrust?L - Span Length?e - Elastic Modulus?

Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon Example

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Here is how the Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon equation looks like with Values.

Here is how the Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon equation looks like with Units.

Here is how the Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon equation looks like.

137.0443 = (\frac{5}{384}) \cdot (\frac{0.842 \cdot 5^{4}}{50})

137.0443kg·m² = (\frac{5}{384}) \cdot (\frac{0.842kN/m \cdot {5m}^{4}}{50Pa})

137.0443 = (\frac{5}{384}) \cdot (\frac{0.842 \cdot 5^{4}}{50})

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Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon Solution

Follow our step by step solution on how to calculate Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon?

FIRST Step Consider the formula

I p = (\frac{5}{384}) \cdot (\frac{W up \cdot L^{4}}{e})

Next Step Substitute values of Variables

∴

I p = (\frac{5}{384}) \cdot (\frac{0.842kN/m \cdot {5m}^{4}}{50Pa})

Next Step Convert Units

∴

I p = (\frac{5}{384}) \cdot (\frac{842N/m \cdot {5m}^{4}}{50Pa})

Next Step Prepare to Evaluate

∴

I p = (\frac{5}{384}) \cdot (\frac{842 \cdot 5^{4}}{50})

Next Step Evaluate

∴

I p = 137.044270833333kg·m²

LAST Step Rounding Answer

∴

I p = 137.0443kg·m²

Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon Formula Elements

Variables

Moment of Inertia in Prestress

Moment of Inertia in Prestress is the Moment of Inertia which is defined as the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I_p

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia in Prestress

Upward Thrust

Upward Thrust for parabolic tendon can be described as the force per unit length of the tendon.

Symbol: W_up

Measurement: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Upward Thrust

Span Length

Span Length is the end to end distance between any beam or slab.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Span Length

Elastic Modulus

The Elastic Modulus is the ratio of Stress to Strain.

Symbol: e

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Elastic Modulus

Other Formulas to find Moment of Inertia in Prestress

Go Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon

I p = \frac{Ft \cdot L^{3}}{48 \cdot e \cdot δ}

Go Moment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon

I p = \frac{a \cdot (a^{2}) \cdot Ft \cdot L^{3}}{48 \cdot e \cdot δ}

Other formulas in Deflection due to Prestressing Force category

Go Deflection due to Prestressing for Parabolic Tendon

δ = (\frac{5}{384}) \cdot (\frac{W up \cdot L^{4}}{E \cdot I A})

Go Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon

W up = \frac{δ \cdot 384 \cdot E \cdot I A}{5 \cdot L^{4}}

Go Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon

EI = (\frac{5}{384}) \cdot (\frac{W up \cdot L^{4}}{δ})

Go Young's Modulus given Deflection due to Prestressing for Parabolic Tendon

E = (\frac{5}{384}) \cdot (\frac{W up \cdot L^{4}}{δ \cdot I A})

How to Evaluate Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon?

Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon evaluator uses Moment of Inertia in Prestress = (5/384)*((Upward Thrust*Span Length^4)/(Elastic Modulus)) to evaluate the Moment of Inertia in Prestress, The Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon is defined as the product of mass of section and the square of the distance between the reference axis. Moment of Inertia in Prestress is denoted by I_p symbol.

How to evaluate Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon using this online evaluator? To use this online evaluator for Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon, enter Upward Thrust (W_up), Span Length (L) & Elastic Modulus (e) and hit the calculate button.

FAQs on Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon

What is the formula to find Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon?

The formula of Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon is expressed as Moment of Inertia in Prestress = (5/384)*((Upward Thrust*Span Length^4)/(Elastic Modulus)). Here is an example- 137.0443 = (5/384)*((842*5^4)/(50)).

How to calculate Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon?

With Upward Thrust (W_up), Span Length (L) & Elastic Modulus (e) we can find Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon using the formula - Moment of Inertia in Prestress = (5/384)*((Upward Thrust*Span Length^4)/(Elastic Modulus)).

What are the other ways to Calculate Moment of Inertia in Prestress?

Here are the different ways to Calculate Moment of Inertia in Prestress-

Moment of Inertia in Prestress=(Thrust Force*Span Length^3)/(48*Elastic Modulus*Deflection due to Moments on Arch Dam)
Moment of Inertia in Prestress=(Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(48*Elastic Modulus*Deflection due to Moments on Arch Dam)

Can the Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon be negative?

No, the Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon?

Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon is usually measured using the Kilogram Square Meter[kg·m²] for Moment of Inertia. Kilogram Square Centimeter[kg·m²], Kilogram Square Millimeter[kg·m²], Gram Square Centimeter[kg·m²] are the few other units in which Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon can be measured.

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Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon Formula

​GoMoment of Inertia for Deflection due to Prestressing of Singly Harped Tendon Formula

​GoMoment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon Formula

Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon Example

Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon Solution

Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon Formula Elements

Other Formulas to find Moment of Inertia in Prestress

Other formulas in Deflection due to Prestressing Force category

How to Evaluate Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon?

FAQs on Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon

Variable Name

GoMoment of Inertia for Deflection due to Prestressing of Singly Harped Tendon Formula

GoMoment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon Formula