Uplift Thrust given Deflection due to Prestressing for Doubly Harped 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%
✖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.ⓘ Moment of Inertia in Prestress [I_p]			+10% -10%
✖Part of Span Length is described as the part of the beam length.ⓘ Part of Span Length [a]			+10% -10%
✖Span Length is the end to end distance between any beam or slab.ⓘ Span Length [L]			+10% -10%

✖Thrust Force acting perpendicular to the job piece.ⓘ Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon [Ft]

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Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon

Formula

`"Ft" = ("δ"*24*"E"*"I"_{"p"})/("a"*(3-4*"a"^2)*"L"^3)`

Example

`"442.7386N"= ("48.1m"*24*"15Pa"*"1.125kg·m²")/("0.8"*(3-4*("0.8")^2)*("5m")^3)`

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Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Ft = (δ*24*E*I_p)/(a*(3-4*a^2)*L^3)
This formula uses 6 Variables

Variables Used

Thrust Force - (Measured in Newton) - Thrust Force acting perpendicular to the job piece.
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.
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.
Part of Span Length - Part of Span Length is described as the part of the beam length.
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
Moment of Inertia in Prestress: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Part of Span Length: 0.8 --> No Conversion Required
Span Length: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ft = (δ*24*E*I_p)/(a*(3-4*a^2)*L^3) --> (48.1*24*15*1.125)/(0.8*(3-4*0.8^2)*5^3)

Evaluating ... ...

Ft = 442.738636363637

STEP 3: Convert Result to Output's Unit

442.738636363637 Newton --> No Conversion Required

FINAL ANSWER

442.738636363637 ≈ 442.7386 Newton <-- Thrust Force

(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

Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon Formula

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 given Deflection due to Prestressing for Doubly Harped Tendon?

Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon calculator uses 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) to calculate the Thrust Force, The Uplift Thrust given Deflection due to Prestressing for Doubly Harped 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. Thrust Force is denoted by Ft symbol.

How to calculate Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon using this online calculator? To use this online calculator for Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon, enter Deflection due to Moments on Arch Dam (δ), Young's Modulus (E), Moment of Inertia in Prestress (I_p), Part of Span Length (a) & Span Length (L) and hit the calculate button. Here is how the Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon calculation can be explained with given input values -> 442.7386 = (48.1*24*15*1.125)/(0.8*(3-4*0.8^2)*5^3).

FAQ

What is Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon?

The Uplift Thrust given Deflection due to Prestressing for Doubly Harped 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 Ft = (δ*24*E*I_p)/(a*(3-4*a^2)*L^3) or 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). 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, 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, Part of Span Length is described as the part of the beam length & Span Length is the end to end distance between any beam or slab.

How to calculate Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon?

The Uplift Thrust given Deflection due to Prestressing for Doubly Harped 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 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). To calculate Uplift Thrust given Deflection due to Prestressing for Doubly Harped Tendon, you need Deflection due to Moments on Arch Dam (δ), Young's Modulus (E), Moment of Inertia in Prestress (I_p), Part of Span Length (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, Moment of Inertia in Prestress, Part of Span Length & Span Length 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 Thrust Force?

In this formula, Thrust Force uses Deflection due to Moments on Arch Dam, Young's Modulus, Moment of Inertia in Prestress, Part of Span Length & Span Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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