Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Moment of Inertia in Prestress = (5/384)*((Upward Thrust*Span Length^4)/(Elastic Modulus))
Ip = (5/384)*((Wup*L^4)/(e))
This formula uses 4 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.
Upward Thrust - (Measured in Newton per Meter) - Upward Thrust for parabolic tendon can be described as the force per unit length of the tendon.
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.
STEP 1: Convert Input(s) to Base Unit
Upward Thrust: 0.842 Kilonewton per Meter --> 842 Newton per Meter (Check conversion here)
Span Length: 5 Meter --> 5 Meter No Conversion Required
Elastic Modulus: 50 Pascal --> 50 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ip = (5/384)*((Wup*L^4)/(e)) --> (5/384)*((842*5^4)/(50))
Evaluating ... ...
Ip = 137.044270833333
STEP 3: Convert Result to Output's Unit
137.044270833333 Kilogram Square Meter --> No Conversion Required
FINAL ANSWER
137.044270833333 137.0443 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)
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

Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon Formula

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

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 for Parabolic Tendon?

Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon calculator uses Moment of Inertia in Prestress = (5/384)*((Upward Thrust*Span Length^4)/(Elastic Modulus)) to calculate the Moment of Inertia in Prestress, The Moment of Inertia for Deflection due to Prestressing for Parabolic 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 Ip symbol.

How to calculate Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon using this online calculator? To use this online calculator for Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon, enter Upward Thrust (Wup), Span Length (L) & Elastic Modulus (e) and hit the calculate button. Here is how the Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon calculation can be explained with given input values -> 137.0443 = (5/384)*((842*5^4)/(50)).

FAQ

What is Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon?
The Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon is defined as the product of mass of section and the square of the distance between the reference axis and is represented as Ip = (5/384)*((Wup*L^4)/(e)) or Moment of Inertia in Prestress = (5/384)*((Upward Thrust*Span Length^4)/(Elastic Modulus)). Upward Thrust for parabolic tendon can be described as the force per unit length of the tendon, Span Length is the end to end distance between any beam or slab & The Elastic Modulus is the ratio of Stress to Strain.
How to calculate Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon?
The Moment of Inertia for Deflection due to Prestressing for Parabolic 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 = (5/384)*((Upward Thrust*Span Length^4)/(Elastic Modulus)). To calculate Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon, you need Upward Thrust (Wup), Span Length (L) & Elastic Modulus (e). With our tool, you need to enter the respective value for Upward Thrust, Span Length & Elastic Modulus 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 Upward Thrust, Span Length & Elastic Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Moment of Inertia in Prestress = (Thrust Force*Span Length^3)/(48*Elastic Modulus*Deflection due to Moments on Arch Dam)
  • 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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