Deflection due to Prestressing for Parabolic Tendon Calculator

✖Upward Thrust for parabolic tendon can be described as the force per unit length of the tendon.ⓘ Upward Thrust [W_up]			+10% -10%
✖Span Length is the end to end distance between any beam or slab.ⓘ Span Length [L]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖Second Moment of Area is a measure of the 'efficiency' of a shape to resist bending caused by loading. The second moment of area is a measure of a shape's resistance to change.ⓘ Second Moment of Area [I_A]			+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 Prestressing for Parabolic Tendon [δ]

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Deflection due to Prestressing for Parabolic Tendon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area))
δ = (5/384)*((W_up*L^4)/(E*I_A))
This formula uses 5 Variables

Variables Used

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).
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.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Second Moment of Area - (Measured in Meter⁴) - Second Moment of Area is a measure of the 'efficiency' of a shape to resist bending caused by loading. The second moment of area is a measure of a shape's resistance to change.

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
Young's Modulus: 15 Pascal --> 15 Pascal No Conversion Required
Second Moment of Area: 9.5 Meter⁴ --> 9.5 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (5/384)*((W_up*L^4)/(E*I_A)) --> (5/384)*((842*5^4)/(15*9.5))

Evaluating ... ...

δ = 48.0857090643275

STEP 3: Convert Result to Output's Unit

48.0857090643275 Meter --> No Conversion Required

FINAL ANSWER

48.0857090643275 ≈ 48.08571 Meter <-- Deflection due to Moments on Arch Dam

(Calculation completed in 00.018 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 » Deflection due to Prestressing for Parabolic Tendon

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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< Deflection due to Prestressing Force Calculators

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon

LaTeX 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

LaTeX Go Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area))

Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon

LaTeX 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

LaTeX Go Flexural Rigidity = (5/384)*((Upward Thrust*Span Length^4)/Deflection due to Moments on Arch Dam)

Deflection due to Prestressing for Parabolic Tendon Formula

LaTeX Go

Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area))
δ = (5/384)*((W_up*L^4)/(E*I_A))

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 Deflection due to Prestressing for Parabolic Tendon?

Deflection due to Prestressing for Parabolic Tendon calculator uses Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area)) to calculate the Deflection due to Moments on Arch Dam, The Deflection due to Prestressing for Parabolic Tendon is defined as the curvature or bending experienced by the tendon under stress. Deflection due to Moments on Arch Dam is denoted by δ symbol.

How to calculate Deflection due to Prestressing for Parabolic Tendon using this online calculator? To use this online calculator for Deflection due to Prestressing for Parabolic Tendon, enter Upward Thrust (W_up), Span Length (L), Young's Modulus (E) & Second Moment of Area (I_A) and hit the calculate button. Here is how the Deflection due to Prestressing for Parabolic Tendon calculation can be explained with given input values -> 48.08571 = (5/384)*((842*5^4)/(15*9.5)).

FAQ

What is Deflection due to Prestressing for Parabolic Tendon?

The Deflection due to Prestressing for Parabolic Tendon is defined as the curvature or bending experienced by the tendon under stress and is represented as δ = (5/384)*((W_up*L^4)/(E*I_A)) or Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area)). 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, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain & Second Moment of Area is a measure of the 'efficiency' of a shape to resist bending caused by loading. The second moment of area is a measure of a shape's resistance to change.

How to calculate Deflection due to Prestressing for Parabolic Tendon?

The Deflection due to Prestressing for Parabolic Tendon is defined as the curvature or bending experienced by the tendon under stress is calculated using Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area)). To calculate Deflection due to Prestressing for Parabolic Tendon, you need Upward Thrust (W_up), Span Length (L), Young's Modulus (E) & Second Moment of Area (I_A). With our tool, you need to enter the respective value for Upward Thrust, Span Length, Young's Modulus & Second Moment of Area 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 Deflection due to Moments on Arch Dam?

In this formula, Deflection due to Moments on Arch Dam uses Upward Thrust, Span Length, Young's Modulus & Second Moment of Area. We can use 2 other way(s) to calculate the same, which is/are as follows -

Deflection due to Moments on Arch Dam = (Thrust Force*Span Length^3)/(48*Young's Modulus*Moment of Inertia in Prestress)
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)

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