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

✖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).ⓘ Deflection due to Moments on Arch Dam [δ]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖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.ⓘ Moment of Inertia in Prestress [I_p]			+10% -10%
✖Part of Span Length is described as the part of the beam length.ⓘ Part of Span Length [a]			+10% -10%
✖Thrust Force acting perpendicular to the job piece.ⓘ Thrust Force [Ft]			+10% -10%

✖Span Length is the end to end distance between any beam or slab.ⓘ Length of Span given Deflection due to Prestressing for Doubly Harped Tendon [L]

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Formula

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

Formula

`"L" = (("δ"*48*"E"*"I"_{"p"})/("a"*(4-3*"a"^2)*"Ft"))^(1/3)`

Example

`"4.219812m"= (("48.1m"*48*"15Pa"*"1.125kg·m²")/("0.8"*(4-3*("0.8")^2)*"311.6N"))^(1/3)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
L = ((δ*48*E*I_p)/(a*(4-3*a^2)*Ft))^(1/3)
This formula uses 6 Variables

Variables Used

Span Length - (Measured in Meter) - Span Length is the end to end distance between any beam or slab.
Deflection due to Moments on Arch Dam - (Measured in Meter) - 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).
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Moment of Inertia in Prestress - (Measured in Kilogram Square Meter) - 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.
Part of Span Length - Part of Span Length is described as the part of the beam length.
Thrust Force - (Measured in Newton) - Thrust Force acting perpendicular to the job piece.

STEP 1: Convert Input(s) to Base Unit

Deflection due to Moments on Arch Dam: 48.1 Meter --> 48.1 Meter No Conversion Required
Young's Modulus: 15 Pascal --> 15 Pascal No Conversion Required
Moment of Inertia in Prestress: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Part of Span Length: 0.8 --> No Conversion Required
Thrust Force: 311.6 Newton --> 311.6 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = ((δ*48*E*I_p)/(a*(4-3*a^2)*Ft))^(1/3) --> ((48.1*48*15*1.125)/(0.8*(4-3*0.8^2)*311.6))^(1/3)

Evaluating ... ...

L = 4.21981205134813

STEP 3: Convert Result to Output's Unit

4.21981205134813 Meter --> No Conversion Required

FINAL ANSWER

4.21981205134813 ≈ 4.219812 Meter <-- Span Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Crack Width and Deflection of Prestress Concrete Members » Deflection » Deflection due to Prestressing Force » Length of Span given Deflection due to Prestressing for Doubly Harped Tendon

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< 18 Deflection due to Prestressing Force Calculators

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

Go 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)

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

Go 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)

Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon

Go Thrust Force = (Deflection due to Moments on Arch Dam*24*Young's Modulus*Moment of Inertia in Prestress)/(Part of Span Length*(3-4*Part of Span Length^2)*Span Length^3)

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

Go 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)

Deflection due to Prestressing given Doubly Harped Tendon

Go 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)

Flexural Rigidity given Deflection due to Prestressing for Doubly Harped Tendon

Go Flexural Rigidity = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Deflection due to Moments on Arch Dam)

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

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

Deflection due to Prestressing for Parabolic Tendon

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

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

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

Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon

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

Deflection due to Prestressing for Singly Harped Tendon

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

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon

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

Uplift Thrust given Deflection due to Prestressing for Singly Harped Tendon

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

Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon

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

Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon

Go Flexural Rigidity = (5/384)*((Upward Thrust*Span Length^4)/Deflection due to Moments on Arch Dam)

Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon

Go Flexural Rigidity = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam)

Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon

Go Moment of Inertia in Prestress = (5/384)*((Upward Thrust*Span Length^4)/(Elastic Modulus))

Deflection due to Prestressing Force before Losses when Short Term Deflection at Transfer

Go Deflection due to Prestressing Force = Deflection due to Self Weight-Short Term Deflection

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

What is meant by Flexural Rigidity?

Flexural rigidity is defined as the force couple required to bend a fixed non-rigid structure by one unit of curvature.

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

Length of Span given Deflection due to Prestressing for Doubly Harped Tendon calculator 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 calculate 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 calculate Length of Span given Deflection due to Prestressing for Doubly Harped Tendon using this online calculator? To use this online calculator 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. Here is how the Length of Span given Deflection due to Prestressing for Doubly Harped Tendon calculation can be explained with given input values -> 4.219812 = ((48.1*48*15*1.125)/(0.8*(4-3*0.8^2)*311.6))^(1/3).

FAQ

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

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 and is represented as L = ((δ*48*E*I_p)/(a*(4-3*a^2)*Ft))^(1/3) or 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). 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), Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, 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, Part of Span Length is described as the part of the beam length & Thrust Force acting perpendicular to the job piece.

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

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 is calculated using 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 calculate Length of Span given Deflection due to Prestressing for Doubly Harped Tendon, you need 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). With our tool, you need to enter the respective value for Deflection due to Moments on Arch Dam, Young's Modulus, Moment of Inertia in Prestress, Part of Span Length & Thrust Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Span Length?

In this formula, Span Length uses Deflection due to Moments on Arch Dam, Young's Modulus, Moment of Inertia in Prestress, Part of Span Length & Thrust Force. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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