Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon Calculator

✖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.ⓘ Span Length [L]			+10% -10%
✖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%

✖Flexural Rigidity is the resistance offered by the structure against bending or flexure. It is the product of young’s modulus and moment of inertia.ⓘ Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon [EI]

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Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon

Formula

`"EI" = ("Ft"*"L"^3)/(48*"δ")`

Example

`"16.87024N*m²"= ("311.6N"*("5m")^3)/(48*"48.1m")`

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Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flexural Rigidity = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam)
EI = (Ft*L^3)/(48*δ)
This formula uses 4 Variables

Variables Used

Flexural Rigidity - (Measured in Newton Square Meter) - Flexural Rigidity is the resistance offered by the structure against bending or flexure. It is the product of young’s modulus and moment of inertia.
Thrust Force - (Measured in Newton) - Thrust Force acting perpendicular to the job piece.
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).

STEP 1: Convert Input(s) to Base Unit

Thrust Force: 311.6 Newton --> 311.6 Newton No Conversion Required
Span Length: 5 Meter --> 5 Meter No Conversion Required
Deflection due to Moments on Arch Dam: 48.1 Meter --> 48.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

EI = (Ft*L^3)/(48*δ) --> (311.6*5^3)/(48*48.1)

Evaluating ... ...

EI = 16.8702356202356

STEP 3: Convert Result to Output's Unit

16.8702356202356 Newton Square Meter --> No Conversion Required

FINAL ANSWER

16.8702356202356 ≈ 16.87024 Newton Square Meter <-- Flexural Rigidity

(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 » Flexural Rigidity given Deflection due to Prestressing for Singly 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

Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon Formula

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

What does Deflection Mean?

The Deflection Due to Prestressing for a singly harped Tendon, deflection of prestressed concrete members is complicated by such factors as the gradual reduction of prestress force due to time-dependent losses, relatively simple procedures.

How to Calculate Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon?

Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon calculator uses Flexural Rigidity = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam) to calculate the Flexural Rigidity, The Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon is defined as product of youngs modulus and moment of inertia. Flexural Rigidity is denoted by EI symbol.

How to calculate Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon using this online calculator? To use this online calculator for Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon, enter Thrust Force (Ft), Span Length (L) & Deflection due to Moments on Arch Dam (δ) and hit the calculate button. Here is how the Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon calculation can be explained with given input values -> 16.87024 = (311.6*5^3)/(48*48.1).

FAQ

What is Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon?

The Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon is defined as product of youngs modulus and moment of inertia and is represented as EI = (Ft*L^3)/(48*δ) or Flexural Rigidity = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam). Thrust Force acting perpendicular to the job piece, Span Length is the end to end distance between any beam or slab & 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).

How to calculate Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon?

The Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon is defined as product of youngs modulus and moment of inertia is calculated using Flexural Rigidity = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam). To calculate Flexural Rigidity given Deflection due to Prestressing for Singly Harped Tendon, you need Thrust Force (Ft), Span Length (L) & Deflection due to Moments on Arch Dam (δ). With our tool, you need to enter the respective value for Thrust Force, Span Length & Deflection due to Moments on Arch Dam 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 Flexural Rigidity?

In this formula, Flexural Rigidity uses Thrust Force, Span Length & Deflection due to Moments on Arch Dam. We can use 2 other way(s) to calculate the same, which is/are as follows -

Flexural Rigidity = (5/384)*((Upward Thrust*Span Length^4)/Deflection due to Moments on Arch Dam)
Flexural Rigidity = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Deflection due to Moments on Arch Dam)

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