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Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Formula

GoYoung's Modulus given Deflection due to Prestressing for Parabolic Tendon Formula

GoYoung's Modulus given Deflection due to Prestressing for Singly Harped Tendon Formula

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = \frac{a \cdot (3 - 4 \cdot a^{2}) \cdot Ft \cdot L^{3}}{48 \cdot δ \cdot I p}

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

Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Example

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Here is how the Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon equation looks like with Values.

Here is how the Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon equation looks like with Units.

Here is how the Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon equation looks like.

5.2785 = \frac{0.8 \cdot (3 - 4 \cdot {0.8}^{2}) \cdot 311.6 \cdot 5^{3}}{48 \cdot 48.1 \cdot 1.125}

5.2785Pa = \frac{0.8 \cdot (3 - 4 \cdot {0.8}^{2}) \cdot 311.6N \cdot {5m}^{3}}{48 \cdot 48.1m \cdot 1.125kg·m²}

5.2785 = \frac{0.8 \cdot (3 - 4 \cdot {0.8}^{2}) \cdot 311.6 \cdot 5^{3}}{48 \cdot 48.1 \cdot 1.125}

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Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Solution

Follow our step by step solution on how to calculate Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon?

FIRST Step Consider the formula

E = \frac{a \cdot (3 - 4 \cdot a^{2}) \cdot Ft \cdot L^{3}}{48 \cdot δ \cdot I p}

Next Step Substitute values of Variables

∴

E = \frac{0.8 \cdot (3 - 4 \cdot {0.8}^{2}) \cdot 311.6N \cdot {5m}^{3}}{48 \cdot 48.1m \cdot 1.125kg·m²}

Next Step Prepare to Evaluate

∴

E = \frac{0.8 \cdot (3 - 4 \cdot {0.8}^{2}) \cdot 311.6 \cdot 5^{3}}{48 \cdot 48.1 \cdot 1.125}

Next Step Evaluate

∴

E = 5.27850927850927Pa

LAST Step Rounding Answer

∴

E = 5.2785Pa

Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Formula Elements

Variables

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Young's Modulus

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

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

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

Other Formulas to find Young's Modulus

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})

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

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

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 Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon

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

How to Evaluate Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon?

Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon evaluator uses Young's Modulus = (Part of Span Length*(3-4*Part of Span Length^2)*Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress) to evaluate the Young's Modulus, The Young's Modulus given Deflection due to Prestressing for doubly Harped Tendon is defined as the relationship between stress (force per unit area) and strain (proportional deformation in an object. Young's Modulus is denoted by E symbol.

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

FAQs on Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon

What is the formula to find Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon?

The formula of Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon is expressed as Young's Modulus = (Part of Span Length*(3-4*Part of Span Length^2)*Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress). Here is an example- 5.278509 = (0.8*(3-4*0.8^2)*311.6*5^3)/(48*48.1*1.125).

How to calculate Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon?

With Part of Span Length (a), Thrust Force (Ft), Span Length (L), Deflection due to Moments on Arch Dam (δ) & Moment of Inertia in Prestress (I_p) we can find Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon using the formula - Young's Modulus = (Part of Span Length*(3-4*Part of Span Length^2)*Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress).

What are the other ways to Calculate Young's Modulus?

Here are the different ways to Calculate Young's Modulus-

Young's Modulus=(5/384)*((Upward Thrust*Span Length^4)/(Deflection due to Moments on Arch Dam*Second Moment of Area))
Young's Modulus=(Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress)

Can the Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon be negative?

No, the Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon, measured in Pressure cannot be negative.

Which unit is used to measure Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon?

Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon can be measured.

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Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Formula

​GoYoung's Modulus given Deflection due to Prestressing for Parabolic Tendon Formula

​GoYoung's Modulus given Deflection due to Prestressing for Singly Harped Tendon Formula

Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Example

Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Solution

Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Formula Elements

Other Formulas to find Young's Modulus

Other formulas in Deflection due to Prestressing Force category

How to Evaluate Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon?

FAQs on Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon

Variable Name

GoYoung's Modulus given Deflection due to Prestressing for Parabolic Tendon Formula

GoYoung's Modulus given Deflection due to Prestressing for Singly Harped Tendon Formula