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

STEP 0: Pre-Calculation Summary
Formula Used
Flexural Rigidity = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Deflection due to Moments on Arch Dam)
EI = (a*(a^2)*Ft*L^3)/(24*δ)
This formula uses 5 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.
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.
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
Part of Span Length: 0.8 --> No Conversion Required
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 = (a*(a^2)*Ft*L^3)/(24*δ) --> (0.8*(0.8^2)*311.6*5^3)/(24*48.1)
Evaluating ... ...
EI = 17.2751212751213
STEP 3: Convert Result to Output's Unit
17.2751212751213 Newton Square Meter --> No Conversion Required
FINAL ANSWER
17.2751212751213 17.27512 Newton Square Meter <-- Flexural Rigidity
(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

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

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

What does Deflection Mean?

The Deflection Due to Prestressing for a doubly harped tendon 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 Doubly Harped Tendon?

Flexural Rigidity given Deflection due to Prestressing for Doubly Harped Tendon calculator uses Flexural Rigidity = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Deflection due to Moments on Arch Dam) to calculate the Flexural Rigidity, The Flexural Rigidity given Deflection Due to Prestressing for Doubly Harped Tendon is defined as force couple required to bend fixed non-rigid structure by one unit of curvature. Flexural Rigidity is denoted by EI symbol.

How to calculate Flexural Rigidity given Deflection due to Prestressing for Doubly Harped Tendon using this online calculator? To use this online calculator for Flexural Rigidity given Deflection due to Prestressing for Doubly Harped Tendon, enter Part of Span Length (a), 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 Doubly Harped Tendon calculation can be explained with given input values -> 17.27512 = (0.8*(0.8^2)*311.6*5^3)/(24*48.1).

FAQ

What is Flexural Rigidity given Deflection due to Prestressing for Doubly Harped Tendon?
The Flexural Rigidity given Deflection Due to Prestressing for Doubly Harped Tendon is defined as force couple required to bend fixed non-rigid structure by one unit of curvature and is represented as EI = (a*(a^2)*Ft*L^3)/(24*δ) or Flexural Rigidity = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Deflection due to Moments on Arch Dam). Part of Span Length is described as the part of the beam length, 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 Doubly Harped Tendon?
The Flexural Rigidity given Deflection Due to Prestressing for Doubly Harped Tendon is defined as force couple required to bend fixed non-rigid structure by one unit of curvature is calculated using Flexural Rigidity = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Deflection due to Moments on Arch Dam). To calculate Flexural Rigidity given Deflection due to Prestressing for Doubly Harped Tendon, you need Part of Span Length (a), 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 Part of Span Length, 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 Part of Span Length, 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 = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam)
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