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

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

GoMoment of Inertia for Deflection due to Prestressing of Singly 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{a \cdot (a^{2}) \cdot Ft \cdot L^{3}}{48 \cdot e \cdot δ}

I_p - Moment of Inertia in Prestress?a - Part of Span Length?Ft - Thrust Force?L - Span Length?e - Elastic Modulus?δ - Deflection due to Moments on Arch Dam?

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

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

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

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

0.1728 = \frac{0.8 \cdot ({0.8}^{2}) \cdot 311.6 \cdot 5^{3}}{48 \cdot 50 \cdot 48.1}

0.1728kg·m² = \frac{0.8 \cdot ({0.8}^{2}) \cdot 311.6N \cdot {5m}^{3}}{48 \cdot 50Pa \cdot 48.1m}

0.1728 = \frac{0.8 \cdot ({0.8}^{2}) \cdot 311.6 \cdot 5^{3}}{48 \cdot 50 \cdot 48.1}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I p = \frac{0.8 \cdot ({0.8}^{2}) \cdot 311.6N \cdot {5m}^{3}}{48 \cdot 50Pa \cdot 48.1m}

Next Step Prepare to Evaluate

∴

I p = \frac{0.8 \cdot ({0.8}^{2}) \cdot 311.6 \cdot 5^{3}}{48 \cdot 50 \cdot 48.1}

Next Step Evaluate

∴

I p = 0.172751212751213kg·m²

LAST Step Rounding Answer

∴

I p = 0.1728kg·m²

Moment of Inertia for Deflection due to Prestressing in Doubly Harped 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

Part of Span Length

Part of Span Length is described as the part of the beam length.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Part of Span Length

Thrust Force

Thrust Force acting perpendicular to the job piece.

Symbol: Ft

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Thrust Force

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

Deflection due to Moments on Arch Dam

The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation).

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deflection due to Moments on Arch Dam

Other Formulas to find Moment of Inertia in Prestress

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

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

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}

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 in Doubly Harped Tendon?

Moment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon evaluator uses 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) to evaluate the Moment of Inertia in Prestress, The Moment of Inertia for Deflection due to Prestressing in Doubly Harped 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 in Doubly Harped Tendon using this online evaluator? To use this online evaluator for Moment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon, enter Part of Span Length (a), Thrust Force (Ft), Span Length (L), Elastic Modulus (e) & Deflection due to Moments on Arch Dam (δ) and hit the calculate button.

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

What is the formula to find Moment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon?

The formula of Moment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon is expressed as 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). Here is an example- 0.172751 = (0.8*(0.8^2)*311.6*5^3)/(48*50*48.1).

How to calculate Moment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon?

With Part of Span Length (a), Thrust Force (Ft), Span Length (L), Elastic Modulus (e) & Deflection due to Moments on Arch Dam (δ) we can find Moment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon using the formula - 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).

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=(5/384)*((Upward Thrust*Span Length^4)/(Elastic Modulus))
Moment of Inertia in Prestress=(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 in Doubly Harped Tendon be negative?

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

Which unit is used to measure Moment of Inertia for Deflection due to Prestressing in Doubly Harped Tendon?

Moment of Inertia for Deflection due to Prestressing in Doubly Harped 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 in Doubly Harped Tendon can be measured.

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

​GoMoment of Inertia for Deflection due to Prestressing for Parabolic Tendon Formula

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

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

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

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

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

Variable Name

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

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