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Length of Span given Deflection due to Prestressing for Doubly Harped Tendon Formula

GoLength of Span given Deflection due to Prestressing for Singly Harped Tendon Formula

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

L = {(\frac{δ \cdot 48 \cdot E \cdot I p}{a \cdot (4 - 3 \cdot a^{2}) \cdot Ft})}^{\frac{1}{3}}

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

Length of Span given Deflection due to Prestressing for Doubly Harped Tendon Example

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

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

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

4.2198 = {(\frac{48.1 \cdot 48 \cdot 15 \cdot 1.125}{0.8 \cdot (4 - 3 \cdot {0.8}^{2}) \cdot 311.6})}^{\frac{1}{3}}

4.2198m = {(\frac{48.1m \cdot 48 \cdot 15Pa \cdot 1.125kg·m²}{0.8 \cdot (4 - 3 \cdot {0.8}^{2}) \cdot 311.6N})}^{\frac{1}{3}}

4.2198 = {(\frac{48.1 \cdot 48 \cdot 15 \cdot 1.125}{0.8 \cdot (4 - 3 \cdot {0.8}^{2}) \cdot 311.6})}^{\frac{1}{3}}

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Length of Span given Deflection due to Prestressing for Doubly Harped Tendon Solution

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

FIRST Step Consider the formula

L = {(\frac{δ \cdot 48 \cdot E \cdot I p}{a \cdot (4 - 3 \cdot a^{2}) \cdot Ft})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

L = {(\frac{48.1m \cdot 48 \cdot 15Pa \cdot 1.125kg·m²}{0.8 \cdot (4 - 3 \cdot {0.8}^{2}) \cdot 311.6N})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

L = {(\frac{48.1 \cdot 48 \cdot 15 \cdot 1.125}{0.8 \cdot (4 - 3 \cdot {0.8}^{2}) \cdot 311.6})}^{\frac{1}{3}}

Next Step Evaluate

∴

L = 4.21981205134813m

LAST Step Rounding Answer

∴

L = 4.2198m

Length of Span given Deflection due to Prestressing for Doubly Harped Tendon Formula Elements

Variables

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

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

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

Other Formulas to find Span Length

Go Length of Span given Deflection due to Prestressing for Singly Harped Tendon

L = {(\frac{δ \cdot 48 \cdot E \cdot I p}{Ft})}^{\frac{1}{3}}

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 Length of Span given Deflection due to Prestressing for Doubly Harped Tendon?

Length of Span given Deflection due to Prestressing for Doubly Harped Tendon evaluator uses Span Length = ((Deflection due to Moments on Arch Dam*48*Young's Modulus*Moment of Inertia in Prestress)/(Part of Span Length*(4-3*Part of Span Length^2)*Thrust Force))^(1/3) to evaluate the Span Length, The Length of Span given Deflection due to Prestressing for doubly Harped Tendon is distance exceeded by stated percentage of fibers from random catch point in drafting zone. Span Length is denoted by L symbol.

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

FAQs on Length of Span given Deflection due to Prestressing for Doubly Harped Tendon

What is the formula to find Length of Span given Deflection due to Prestressing for Doubly Harped Tendon?

The formula of Length of Span given Deflection due to Prestressing for Doubly Harped Tendon is expressed as Span Length = ((Deflection due to Moments on Arch Dam*48*Young's Modulus*Moment of Inertia in Prestress)/(Part of Span Length*(4-3*Part of Span Length^2)*Thrust Force))^(1/3). Here is an example- 4.219812 = ((48.1*48*15*1.125)/(0.8*(4-3*0.8^2)*311.6))^(1/3).

How to calculate Length of Span given Deflection due to Prestressing for Doubly Harped Tendon?

With Deflection due to Moments on Arch Dam (δ), Young's Modulus (E), Moment of Inertia in Prestress (I_p), Part of Span Length (a) & Thrust Force (Ft) we can find Length of Span given Deflection due to Prestressing for Doubly Harped Tendon using the formula - Span Length = ((Deflection due to Moments on Arch Dam*48*Young's Modulus*Moment of Inertia in Prestress)/(Part of Span Length*(4-3*Part of Span Length^2)*Thrust Force))^(1/3).

What are the other ways to Calculate Span Length?

Here are the different ways to Calculate Span Length-

Span Length=((Deflection due to Moments on Arch Dam*48*Young's Modulus*Moment of Inertia in Prestress)/Thrust Force)^(1/3)

Can the Length of Span given Deflection due to Prestressing for Doubly Harped Tendon be negative?

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

Which unit is used to measure Length of Span given Deflection due to Prestressing for Doubly Harped Tendon?

Length of Span given Deflection due to Prestressing for 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 Length of Span given Deflection due to Prestressing for Doubly Harped Tendon can be measured.

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Length of Span given Deflection due to Prestressing for Doubly Harped Tendon Formula

​GoLength of Span given Deflection due to Prestressing for Singly Harped Tendon Formula

Length of Span given Deflection due to Prestressing for Doubly Harped Tendon Example

Length of Span given Deflection due to Prestressing for Doubly Harped Tendon Solution

Length of Span given Deflection due to Prestressing for Doubly Harped Tendon Formula Elements

Other Formulas to find Span Length

Other formulas in Deflection due to Prestressing Force category

How to Evaluate Length of Span given Deflection due to Prestressing for Doubly Harped Tendon?

FAQs on Length of Span given Deflection due to Prestressing for Doubly Harped Tendon

Variable Name

GoLength of Span given Deflection due to Prestressing for Singly Harped Tendon Formula