Constant K2 given Deflection due to Thrust on Arch Dam 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%
✖Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.ⓘ Elastic Modulus of Rock [E]			+10% -10%
✖Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments.ⓘ Thrust of Abutments [F]			+10% -10%

✖Constant K2 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K2 given Deflection due to Thrust on Arch Dam [K₂]

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Formula

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Constant K2 given Deflection due to Thrust on Arch Dam

Formula

`"K"_{"2"} = "δ"*"E"/"F"`

Example

`"7.72022"="48.1m"*"10.2N/m²"/"63.55N"`

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Constant K2 given Deflection due to Thrust on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant K2 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Thrust of Abutments
K₂ = δ*E/F
This formula uses 4 Variables

Variables Used

Constant K2 - Constant K2 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.
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).
Elastic Modulus of Rock - (Measured in Pascal) - Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.
Thrust of Abutments - (Measured in Newton) - Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments.

STEP 1: Convert Input(s) to Base Unit

Deflection due to Moments on Arch Dam: 48.1 Meter --> 48.1 Meter No Conversion Required
Elastic Modulus of Rock: 10.2 Newton per Square Meter --> 10.2 Pascal (Check conversion here)
Thrust of Abutments: 63.55 Newton --> 63.55 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K₂ = δ*E/F --> 48.1*10.2/63.55

Evaluating ... ...

K₂ = 7.72022029897718

STEP 3: Convert Result to Output's Unit

7.72022029897718 --> No Conversion Required

FINAL ANSWER

7.72022029897718 ≈ 7.72022 <-- Constant K2

(Calculation completed in 00.004 seconds)

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< 6 Constant Thickness on Arch Dam Calculators

Constant K1 given Rotation due to Moment on Arch Dam

Go Constant K1 = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Moment acting on Arch Dam

Constant K5 given Deflection due to Moments on Arch Dam

Go Constant K5 = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Moment acting on Arch Dam

Constant K4 given Rotation due to Twist on Arch Dam

Go Constant K4 = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Cantilever Twisting Moment

Constant K5 given Rotation due to Shear on Arch Dam

Go Constant K5 = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force

Constant K2 given Deflection due to Thrust on Arch Dam

Go Constant K2 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Thrust of Abutments

Constant K3 given Deflection due to Shear on Arch Dam

Go Constant K3 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Shear Force

Constant K2 given Deflection due to Thrust on Arch Dam Formula

Constant K2 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Thrust of Abutments
K₂ = δ*E/F

What is an Arch Dam ?

An Arch dam is a concrete dam that is curved upstream in plan. The arch dam is designed so that the force of the water against it, known as hydrostatic pressure, presses against the arch, causing the arch to straighten slightly and strengthening the structure as it pushes into its foundation or abutments.

How to Calculate Constant K2 given Deflection due to Thrust on Arch Dam?

Constant K2 given Deflection due to Thrust on Arch Dam calculator uses Constant K2 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Thrust of Abutments to calculate the Constant K2, Constant K2 given Deflection due to Thrust on Arch Dam formula represents the relationship between the thrust force and the resulting deflection, allowing engineers to assess the structural behavior and stability of the dam. Constant K2 is denoted by K₂ symbol.

How to calculate Constant K2 given Deflection due to Thrust on Arch Dam using this online calculator? To use this online calculator for Constant K2 given Deflection due to Thrust on Arch Dam, enter Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Thrust of Abutments (F) and hit the calculate button. Here is how the Constant K2 given Deflection due to Thrust on Arch Dam calculation can be explained with given input values -> 7.72022 = 48.1*10.2/63.55.

FAQ

What is Constant K2 given Deflection due to Thrust on Arch Dam?

Constant K2 given Deflection due to Thrust on Arch Dam formula represents the relationship between the thrust force and the resulting deflection, allowing engineers to assess the structural behavior and stability of the dam and is represented as K₂ = δ*E/F or Constant K2 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Thrust of Abutments. 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), Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation & Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments.

How to calculate Constant K2 given Deflection due to Thrust on Arch Dam?

Constant K2 given Deflection due to Thrust on Arch Dam formula represents the relationship between the thrust force and the resulting deflection, allowing engineers to assess the structural behavior and stability of the dam is calculated using Constant K2 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Thrust of Abutments. To calculate Constant K2 given Deflection due to Thrust on Arch Dam, you need Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Thrust of Abutments (F). With our tool, you need to enter the respective value for Deflection due to Moments on Arch Dam, Elastic Modulus of Rock & Thrust of Abutments 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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