Deflection due to Prestressing given Doubly Harped Tendon Calculator

✖Part of Span Length is described as the part of the beam length.ⓘ Part of Span Length [a]			+10% -10%
✖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%
✖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%

✖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 given Doubly Harped Tendon [δ]

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Deflection due to Prestressing given Doubly Harped Tendon Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
δ = (a*(a^2)*Ft*L^3)/(24*E*I_p)
This formula uses 6 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).
Part of Span Length - Part of Span Length is described as the part of the beam length.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Part of Span Length: 0.8 --> No Conversion Required
Thrust Force: 311.6 Newton --> 311.6 Newton No Conversion Required
Span Length: 5 Meter --> 5 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (a*(a^2)*Ft*L^3)/(24*E*I_p) --> (0.8*(0.8^2)*311.6*5^3)/(24*15*1.125)

Evaluating ... ...

δ = 49.2404938271605

STEP 3: Convert Result to Output's Unit

49.2404938271605 Meter --> No Conversion Required

FINAL ANSWER

49.2404938271605 ≈ 49.24049 Meter <-- Deflection due to Moments on Arch Dam

(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)

Deflection due to Prestressing given Doubly Harped Tendon Formula

LaTeX 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)
δ = (a*(a^2)*Ft*L^3)/(24*E*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 Deflection due to Prestressing given Doubly Harped Tendon?

Deflection due to Prestressing given Doubly Harped Tendon calculator uses 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) to calculate the Deflection due to Moments on Arch Dam, The Deflection due to Prestressing given Doubly Harped Tendon is defined as the bending or deformation caused by tensioned cables arranged in a zigzag pattern. Deflection due to Moments on Arch Dam is denoted by δ symbol.

How to calculate Deflection due to Prestressing given Doubly Harped Tendon using this online calculator? To use this online calculator for Deflection due to Prestressing given Doubly Harped Tendon, enter Part of Span Length (a), Thrust Force (Ft), Span Length (L), Young's Modulus (E) & Moment of Inertia in Prestress (I_p) and hit the calculate button. Here is how the Deflection due to Prestressing given Doubly Harped Tendon calculation can be explained with given input values -> 49.24049 = (0.8*(0.8^2)*311.6*5^3)/(24*15*1.125).

FAQ

What is Deflection due to Prestressing given Doubly Harped Tendon?

The Deflection due to Prestressing given Doubly Harped Tendon is defined as the bending or deformation caused by tensioned cables arranged in a zigzag pattern and is represented as δ = (a*(a^2)*Ft*L^3)/(24*E*I_p) or 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). Part of Span Length is described as the part of the beam length, Thrust Force acting perpendicular to the job piece, 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 & 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 Deflection due to Prestressing given Doubly Harped Tendon?

The Deflection due to Prestressing given Doubly Harped Tendon is defined as the bending or deformation caused by tensioned cables arranged in a zigzag pattern is calculated using 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). To calculate Deflection due to Prestressing given Doubly Harped Tendon, you need Part of Span Length (a), Thrust Force (Ft), Span Length (L), Young's Modulus (E) & Moment of Inertia in Prestress (I_p). With our tool, you need to enter the respective value for Part of Span Length, Thrust Force, Span Length, Young's Modulus & 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 Deflection due to Moments on Arch Dam?

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

Deflection due to Moments on Arch Dam = (5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area))
Deflection due to Moments on Arch Dam = (Thrust Force*Span Length^3)/(48*Young's Modulus*Moment of Inertia in Prestress)

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