Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flexural Rigidity = (5/384)*((Upward Thrust*Span Length^4)/Deflection due to Moments on Arch Dam)
EI = (5/384)*((Wup*L^4)/δ)
This formula uses 4 Variables
Variables Used
Flexural Rigidity - (Measured in Newton Square Centimeter) - 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.
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.
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
Upward Thrust: 0.842 Kilonewton per Meter --> 842 Newton per Meter (Check conversion here)
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 = (5/384)*((Wup*L^4)/δ) --> (5/384)*((842*5^4)/48.1)
Evaluating ... ...
EI = 142.457661988912
STEP 3: Convert Result to Output's Unit
0.0142457661988912 Newton Square Meter --> No Conversion Required
FINAL ANSWER
0.0142457661988912 0.014246 Newton Square Meter <-- Flexural Rigidity
(Calculation completed in 00.020 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

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 Parabolic Tendon Formula

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

What does Deflection Mean?

The Deflection Due to Prestressing for a Parabolic 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 Parabolic Tendon?

Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon calculator uses Flexural Rigidity = (5/384)*((Upward Thrust*Span Length^4)/Deflection due to Moments on Arch Dam) to calculate the Flexural Rigidity, Flexural Rigidity given Deflection due to Prestressing for Parabolic 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 Parabolic Tendon using this online calculator? To use this online calculator for Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon, enter Upward Thrust (Wup), 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 Parabolic Tendon calculation can be explained with given input values -> 0.014246 = (5/384)*((842*5^4)/48.1).

FAQ

What is Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon?
Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon is defined as product of youngs modulus and moment of inertia and is represented as EI = (5/384)*((Wup*L^4)/δ) or Flexural Rigidity = (5/384)*((Upward Thrust*Span Length^4)/Deflection due to Moments on Arch Dam). 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 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 Parabolic Tendon?
Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon is defined as product of youngs modulus and moment of inertia is calculated using Flexural Rigidity = (5/384)*((Upward Thrust*Span Length^4)/Deflection due to Moments on Arch Dam). To calculate Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon, you need Upward Thrust (Wup), Span Length (L) & Deflection due to Moments on Arch Dam (δ). With our tool, you need to enter the respective value for Upward Thrust, 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 Upward Thrust, 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 = (Thrust Force*Span Length^3)/(48*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)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!