Moment of Inertia for Deflection due to Prestressing of 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 Elastic Modulus is the ratio of Stress to Strain.ⓘ Elastic Modulus [e]			+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%

✖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 for Deflection due to Prestressing of Singly Harped Tendon [I_p]

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

Formula

`"I"_{"p"} = ("Ft"*"L"^3)/(48*"e"*"δ")`

Example

`"0.337405kg·m²"=("311.6N"*("5m")^3)/(48*"50Pa"*"48.1m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia in Prestress = (Thrust Force*Span Length^3)/(48*Elastic Modulus*Deflection due to Moments on Arch Dam)
I_p = (Ft*L^3)/(48*e*δ)
This formula uses 5 Variables

Variables Used

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.
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.
Elastic Modulus - (Measured in Pascal) - The Elastic Modulus is the ratio of Stress to Strain.
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
Elastic Modulus: 50 Pascal --> 50 Pascal 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

I_p = (Ft*L^3)/(48*e*δ) --> (311.6*5^3)/(48*50*48.1)

Evaluating ... ...

I_p = 0.337404712404712

STEP 3: Convert Result to Output's Unit

0.337404712404712 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

0.337404712404712 ≈ 0.337405 Kilogram Square Meter <-- Moment of Inertia in Prestress

(Calculation completed in 00.004 seconds)

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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)

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))

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))

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

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

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

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

Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon calculator uses Moment of Inertia in Prestress = (Thrust Force*Span Length^3)/(48*Elastic Modulus*Deflection due to Moments on Arch Dam) to calculate the Moment of Inertia in Prestress, The Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon is defined as the product of mass of section and the square of the distance between the reference axis. Moment of Inertia in Prestress is denoted by I_p symbol.

How to calculate Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon using this online calculator? To use this online calculator for Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon, enter Thrust Force (Ft), Span Length (L), Elastic Modulus (e) & Deflection due to Moments on Arch Dam (δ) and hit the calculate button. Here is how the Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon calculation can be explained with given input values -> 0.337405 = (311.6*5^3)/(48*50*48.1).

FAQ

What is Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon?

The Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon is defined as the product of mass of section and the square of the distance between the reference axis and is represented as I_p = (Ft*L^3)/(48*e*δ) or Moment of Inertia in Prestress = (Thrust Force*Span Length^3)/(48*Elastic Modulus*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 Elastic Modulus is the ratio of Stress to Strain & 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 Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon?

The Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon is defined as the product of mass of section and the square of the distance between the reference axis is calculated using Moment of Inertia in Prestress = (Thrust Force*Span Length^3)/(48*Elastic Modulus*Deflection due to Moments on Arch Dam). To calculate Moment of Inertia for Deflection due to Prestressing of Singly Harped Tendon, you need Thrust Force (Ft), Span Length (L), Elastic Modulus (e) & Deflection due to Moments on Arch Dam (δ). With our tool, you need to enter the respective value for Thrust Force, Span Length, Elastic Modulus & 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 Moment of Inertia in Prestress?

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

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

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