Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon Calculator

✖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%
✖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%
✖Span Length is the end to end distance between any beam or slab.ⓘ Span Length [L]			+10% -10%

✖Upward Thrust for parabolic tendon can be described as the force per unit length of the tendon.ⓘ Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon [W_up]

⎘ Copy

👎

Formula

✖

Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon

Formula

`"W"_{"up"} = ("δ"*384*"E"*"I"_{"A"})/(5*"L"^4)`

Example

`"0.84225kN/m"= ("48.1m"*384*"15Pa"*"9.5m⁴")/(5*("5m")^4)`

Calculator

LaTeX

Reset

👍

Download Crack Width and Deflection of Prestress Concrete Members Formulas PDF

Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Upward Thrust - (Measured in Newton per Meter) - Upward Thrust for parabolic tendon can be described as the force per unit length of the tendon.
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).
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.
Span Length - (Measured in Meter) - Span Length is the end to end distance between any beam or slab.

STEP 1: Convert Input(s) to Base Unit

Deflection due to Moments on Arch Dam: 48.1 Meter --> 48.1 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
Span Length: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_up = (δ*384*E*I_A)/(5*L^4) --> (48.1*384*15*9.5)/(5*5^4)

Evaluating ... ...

W_up = 842.25024

STEP 3: Convert Result to Output's Unit

842.25024 Newton per Meter -->0.84225024 Kilonewton per Meter (Check conversion here)

FINAL ANSWER

0.84225024 ≈ 0.84225 Kilonewton per Meter <-- Upward Thrust

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Crack Width and Deflection of Prestress Concrete Members » Deflection » Deflection due to Prestressing Force » Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon

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

Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon Formula

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

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 Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon?

Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon calculator uses Upward Thrust = (Deflection due to Moments on Arch Dam*384*Young's Modulus*Second Moment of Area)/(5*Span Length^4) to calculate the Upward Thrust, The Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon is defined as force or push. when system pushes or accelerates mass in one direction, there is thrust (force) just as large in opposite direction. Upward Thrust is denoted by W_up symbol.

How to calculate Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon using this online calculator? To use this online calculator for Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon, enter Deflection due to Moments on Arch Dam (δ), Young's Modulus (E), Second Moment of Area (I_A) & Span Length (L) and hit the calculate button. Here is how the Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon calculation can be explained with given input values -> 0.000842 = (48.1*384*15*9.5)/(5*5^4).

FAQ

What is Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon?

The Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon is defined as force or push. when system pushes or accelerates mass in one direction, there is thrust (force) just as large in opposite direction and is represented as W_up = (δ*384*E*I_A)/(5*L^4) or Upward Thrust = (Deflection due to Moments on Arch Dam*384*Young's Modulus*Second Moment of Area)/(5*Span Length^4). 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), 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 & Span Length is the end to end distance between any beam or slab.

How to calculate Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon?

The Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon is defined as force or push. when system pushes or accelerates mass in one direction, there is thrust (force) just as large in opposite direction is calculated using Upward Thrust = (Deflection due to Moments on Arch Dam*384*Young's Modulus*Second Moment of Area)/(5*Span Length^4). To calculate Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon, you need Deflection due to Moments on Arch Dam (δ), Young's Modulus (E), Second Moment of Area (I_A) & Span Length (L). With our tool, you need to enter the respective value for Deflection due to Moments on Arch Dam, Young's Modulus, Second Moment of Area & Span Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search