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Deflection due to Prestressing for Parabolic Tendon Formula

GoDeflection due to Prestressing for Singly Harped Tendon Formula

GoDeflection due to Prestressing given Doubly 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{5}{384}) \cdot (\frac{W up \cdot L^{4}}{E \cdot I A})

δ - Deflection due to Moments on Arch Dam?W_up - Upward Thrust?L - Span Length?E - Young's Modulus?I_A - Second Moment of Area?

Deflection due to Prestressing for Parabolic Tendon Example

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

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

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

48.0857 = (\frac{5}{384}) \cdot (\frac{0.842 \cdot 5^{4}}{15 \cdot 9.5})

48.0857m = (\frac{5}{384}) \cdot (\frac{0.842kN/m \cdot {5m}^{4}}{15Pa \cdot 9.5m⁴})

48.0857 = (\frac{5}{384}) \cdot (\frac{0.842 \cdot 5^{4}}{15 \cdot 9.5})

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Deflection due to Prestressing for Parabolic Tendon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δ = (\frac{5}{384}) \cdot (\frac{0.842kN/m \cdot {5m}^{4}}{15Pa \cdot 9.5m⁴})

Next Step Convert Units

∴

δ = (\frac{5}{384}) \cdot (\frac{842N/m \cdot {5m}^{4}}{15Pa \cdot 9.5m⁴})

Next Step Prepare to Evaluate

∴

δ = (\frac{5}{384}) \cdot (\frac{842 \cdot 5^{4}}{15 \cdot 9.5})

Next Step Evaluate

∴

δ = 48.0857090643275m

LAST Step Rounding Answer

∴

δ = 48.0857m

Deflection due to Prestressing for Parabolic 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

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

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

Second Moment of Area

Second Moment of Area is a measure of the 'efficiency' of a shape to resist bending caused by loading. The second moment of area is a measure of a shape's resistance to change.

Symbol: I_A

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Second Moment of Area

Other Formulas to find Deflection due to Moments on Arch Dam

Go Deflection due to Prestressing for Singly Harped Tendon

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

Go Deflection due to Prestressing given Doubly Harped Tendon

δ = \frac{a \cdot (a^{2}) \cdot Ft \cdot L^{3}}{24 \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 for Parabolic Tendon?

Deflection due to Prestressing for Parabolic Tendon evaluator uses Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area)) to evaluate the Deflection due to Moments on Arch Dam, The Deflection due to Prestressing for Parabolic Tendon is defined as the curvature or bending experienced by the tendon under stress. Deflection due to Moments on Arch Dam is denoted by δ symbol.

How to evaluate Deflection due to Prestressing for Parabolic Tendon using this online evaluator? To use this online evaluator for Deflection due to Prestressing for Parabolic Tendon, enter Upward Thrust (W_up), Span Length (L), Young's Modulus (E) & Second Moment of Area (I_A) and hit the calculate button.

FAQs on Deflection due to Prestressing for Parabolic Tendon

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

The formula of Deflection due to Prestressing for Parabolic Tendon is expressed as Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area)). Here is an example- 48.08571 = (5/384)*((842*5^4)/(15*9.5)).

How to calculate Deflection due to Prestressing for Parabolic Tendon?

With Upward Thrust (W_up), Span Length (L), Young's Modulus (E) & Second Moment of Area (I_A) we can find Deflection due to Prestressing for Parabolic Tendon using the formula - Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area)).

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=(Thrust Force*Span Length^3)/(48*Young's Modulus*Moment of Inertia in Prestress)
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)

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

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

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

Deflection due to Prestressing for Parabolic 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 for Parabolic Tendon can be measured.

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Deflection due to Prestressing for Parabolic Tendon Formula

​GoDeflection due to Prestressing for Singly Harped Tendon Formula

​GoDeflection due to Prestressing given Doubly Harped Tendon Formula

Deflection due to Prestressing for Parabolic Tendon Example

Deflection due to Prestressing for Parabolic Tendon Solution

Deflection due to Prestressing for Parabolic 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 for Parabolic Tendon?

FAQs on Deflection due to Prestressing for Parabolic Tendon

Variable Name

GoDeflection due to Prestressing for Singly Harped Tendon Formula

GoDeflection due to Prestressing given Doubly Harped Tendon Formula