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)
Wup = (δ*384*E*IA)/(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
Wup = (δ*384*E*IA)/(5*L^4) --> (48.1*384*15*9.5)/(5*5^4)
Evaluating ... ...
Wup = 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)

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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)

Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon Formula

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