Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon Calculator

✖Thrust Force acting perpendicular to the job piece.ⓘ Thrust Force [Ft]			+10% -10%
✖Span Length is the end to end distance between any beam or slab.ⓘ Span Length [L]			+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 Moments on Arch Dam [δ]			+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%

✖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 given Deflection due to Prestressing for Singly Harped Tendon [E]

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Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress)
E = (Ft*L^3)/(48*δ*I_p)
This formula uses 5 Variables

Variables Used

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.
Thrust Force - (Measured in Newton) - Thrust Force acting perpendicular to the job piece.
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).
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.

STEP 1: Convert Input(s) to Base Unit

Thrust Force: 311.6 Newton --> 311.6 Newton No Conversion Required
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
Moment of Inertia in Prestress: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (Ft*L^3)/(48*δ*I_p) --> (311.6*5^3)/(48*48.1*1.125)

Evaluating ... ...

E = 14.995764995765

STEP 3: Convert Result to Output's Unit

14.995764995765 Pascal --> No Conversion Required

FINAL ANSWER

14.995764995765 ≈ 14.99576 Pascal <-- Young's Modulus

(Calculation completed in 00.020 seconds)

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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)

Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon Formula

LaTeX Go

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

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 Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon?

Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon calculator uses Young's Modulus = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress) to calculate the Young's Modulus, The Young's Modulus given Deflection Due to Prestressing for Singly Harped Tendon is defined as the relationship between stress and strain. Young's Modulus is denoted by E symbol.

How to calculate Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon using this online calculator? To use this online calculator for Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon, enter Thrust Force (Ft), Span Length (L), Deflection due to Moments on Arch Dam (δ) & Moment of Inertia in Prestress (I_p) and hit the calculate button. Here is how the Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon calculation can be explained with given input values -> 14.99576 = (311.6*5^3)/(48*48.1*1.125).

FAQ

What is Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon?

The Young's Modulus given Deflection Due to Prestressing for Singly Harped Tendon is defined as the relationship between stress and strain and is represented as E = (Ft*L^3)/(48*δ*I_p) or Young's Modulus = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress). Thrust Force acting perpendicular to the job piece, 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) & 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.

How to calculate Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon?

The Young's Modulus given Deflection Due to Prestressing for Singly Harped Tendon is defined as the relationship between stress and strain is calculated using Young's Modulus = (Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress). To calculate Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon, you need Thrust Force (Ft), Span Length (L), Deflection due to Moments on Arch Dam (δ) & Moment of Inertia in Prestress (I_p). With our tool, you need to enter the respective value for Thrust Force, Span Length, Deflection due to Moments on Arch Dam & Moment of Inertia in Prestress 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 Young's Modulus?

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

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

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