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Deflection due to Prestressing given Doubly Harped Tendon Formula

GoDeflection due to Prestressing for Parabolic Tendon Formula

GoDeflection due to Prestressing for Singly Harped Tendon Formula

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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). Check FAQs

δ = \frac{a \cdot (a^{2}) \cdot Ft \cdot L^{3}}{24 \cdot E \cdot I p}

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

Deflection due to Prestressing given Doubly Harped Tendon Example

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Here is how the Deflection due to Prestressing given Doubly Harped Tendon equation looks like with Values.

Here is how the Deflection due to Prestressing given Doubly Harped Tendon equation looks like with Units.

Here is how the Deflection due to Prestressing given Doubly Harped Tendon equation looks like.

49.2405 = \frac{0.8 \cdot ({0.8}^{2}) \cdot 311.6 \cdot 5^{3}}{24 \cdot 15 \cdot 1.125}

49.2405m = \frac{0.8 \cdot ({0.8}^{2}) \cdot 311.6N \cdot {5m}^{3}}{24 \cdot 15Pa \cdot 1.125kg·m²}

49.2405 = \frac{0.8 \cdot ({0.8}^{2}) \cdot 311.6 \cdot 5^{3}}{24 \cdot 15 \cdot 1.125}

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Deflection due to Prestressing given Doubly Harped Tendon Solution

Follow our step by step solution on how to calculate Deflection due to Prestressing given Doubly Harped Tendon?

FIRST Step Consider the formula

δ = \frac{a \cdot (a^{2}) \cdot Ft \cdot L^{3}}{24 \cdot E \cdot I p}

Next Step Substitute values of Variables

∴

δ = \frac{0.8 \cdot ({0.8}^{2}) \cdot 311.6N \cdot {5m}^{3}}{24 \cdot 15Pa \cdot 1.125kg·m²}

Next Step Prepare to Evaluate

∴

δ = \frac{0.8 \cdot ({0.8}^{2}) \cdot 311.6 \cdot 5^{3}}{24 \cdot 15 \cdot 1.125}

Next Step Evaluate

∴

δ = 49.2404938271605m

LAST Step Rounding Answer

∴

δ = 49.2405m

Deflection due to Prestressing given Doubly Harped Tendon Formula Elements

Variables

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

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

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

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 Deflection due to Moments on Arch Dam

Go Deflection due to Prestressing for Parabolic Tendon

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

Go Deflection due to Prestressing for Singly Harped Tendon

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

Other formulas in Deflection due to Prestressing Force category

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})

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 Deflection due to Prestressing given Doubly Harped Tendon?

Deflection due to Prestressing given Doubly Harped Tendon evaluator uses Deflection due to Moments on Arch Dam = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Young's Modulus*Moment of Inertia in Prestress) to evaluate the Deflection due to Moments on Arch Dam, The Deflection due to Prestressing given Doubly Harped Tendon is defined as the bending or deformation caused by tensioned cables arranged in a zigzag pattern. Deflection due to Moments on Arch Dam is denoted by δ symbol.

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

FAQs on Deflection due to Prestressing given Doubly Harped Tendon

What is the formula to find Deflection due to Prestressing given Doubly Harped Tendon?

The formula of Deflection due to Prestressing given Doubly Harped Tendon is expressed as Deflection due to Moments on Arch Dam = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Young's Modulus*Moment of Inertia in Prestress). Here is an example- 49.24049 = (0.8*(0.8^2)*311.6*5^3)/(24*15*1.125).

How to calculate Deflection due to Prestressing given Doubly Harped Tendon?

With Part of Span Length (a), Thrust Force (Ft), Span Length (L), Young's Modulus (E) & Moment of Inertia in Prestress (I_p) we can find Deflection due to Prestressing given Doubly Harped Tendon using the formula - Deflection due to Moments on Arch Dam = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Young's Modulus*Moment of Inertia in Prestress).

What are the other ways to Calculate Deflection due to Moments on Arch Dam?

Here are the different ways to Calculate Deflection due to Moments on Arch Dam-

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

Can the Deflection due to Prestressing given Doubly Harped Tendon be negative?

No, the Deflection due to Prestressing given Doubly Harped Tendon, measured in Length cannot be negative.

Which unit is used to measure Deflection due to Prestressing given Doubly Harped Tendon?

Deflection due to Prestressing given Doubly Harped Tendon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Deflection due to Prestressing given Doubly Harped Tendon can be measured.

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Deflection due to Prestressing given Doubly Harped Tendon Formula

​GoDeflection due to Prestressing for Parabolic Tendon Formula

​GoDeflection due to Prestressing for Singly Harped Tendon Formula

Deflection due to Prestressing given Doubly Harped Tendon Example

Deflection due to Prestressing given Doubly Harped Tendon Solution

Deflection due to Prestressing given Doubly Harped Tendon Formula Elements

Other Formulas to find Deflection due to Moments on Arch Dam

Other formulas in Deflection due to Prestressing Force category

How to Evaluate Deflection due to Prestressing given Doubly Harped Tendon?

FAQs on Deflection due to Prestressing given Doubly Harped Tendon

Variable Name

GoDeflection due to Prestressing for Parabolic Tendon Formula

GoDeflection due to Prestressing for Singly Harped Tendon Formula