Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam Calculator

✖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 [K₂]			+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%

✖Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.ⓘ Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam [E]

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Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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).

STEP 1: Convert Input(s) to Base Unit

Thrust of Abutments: 63.55 Newton --> 63.55 Newton No Conversion Required
Constant K2: 10.1 --> No Conversion Required
Deflection due to Moments on Arch Dam: 48.1 Meter --> 48.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = F*K₂/(δ) --> 63.55*10.1/(48.1)

Evaluating ... ...

E = 13.3441787941788

STEP 3: Convert Result to Output's Unit

13.3441787941788 Pascal -->13.3441787941788 Newton per Square Meter (Check conversion here)

FINAL ANSWER

13.3441787941788 ≈ 13.34418 Newton per Square Meter <-- Elastic Modulus of Rock

(Calculation completed in 00.008 seconds)

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< Elastic Modulus of Rock Calculators

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam

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

Elastic Modulus of Rock given Rotation due to Twist on Arch Dam

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

Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam

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

Elastic Modulus of Rock given Deflection due to Shear on Arch Dam

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

Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam Formula

LaTeX Go

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

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 Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam?

Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam calculator uses Elastic Modulus of Rock = Thrust of Abutments*Constant K2/(Deflection due to Moments on Arch Dam) to calculate the Elastic Modulus of Rock, Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam refers to its ability to resist deformation when subjected to thrust or pressure, as seen in arch dam structures. It quantifies the stiffness of the rock material and is determined by measuring the deflection caused by the applied force. Elastic Modulus of Rock is denoted by E symbol.

How to calculate Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam using this online calculator? To use this online calculator for Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam, enter Thrust of Abutments (F), Constant K2 (K₂) & Deflection due to Moments on Arch Dam (δ) and hit the calculate button. Here is how the Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam calculation can be explained with given input values -> 13.34418 = 63.55*10.1/(48.1).

FAQ

What is Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam?

Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam refers to its ability to resist deformation when subjected to thrust or pressure, as seen in arch dam structures. It quantifies the stiffness of the rock material and is determined by measuring the deflection caused by the applied force and is represented as E = F*K₂/(δ) or Elastic Modulus of Rock = Thrust of Abutments*Constant K2/(Deflection due to Moments on Arch Dam). Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments, Constant K2 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam & 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).

How to calculate Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam?

Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam refers to its ability to resist deformation when subjected to thrust or pressure, as seen in arch dam structures. It quantifies the stiffness of the rock material and is determined by measuring the deflection caused by the applied force is calculated using Elastic Modulus of Rock = Thrust of Abutments*Constant K2/(Deflection due to Moments on Arch Dam). To calculate Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam, you need Thrust of Abutments (F), Constant K2 (K₂) & Deflection due to Moments on Arch Dam (δ). With our tool, you need to enter the respective value for Thrust of Abutments, Constant K2 & Deflection due to Moments on Arch Dam 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 Elastic Modulus of Rock?

In this formula, Elastic Modulus of Rock uses Thrust of Abutments, Constant K2 & Deflection due to Moments on Arch Dam. We can use 3 other way(s) to calculate the same, which is/are as follows -

Elastic Modulus of Rock = Moment acting on Arch Dam*Constant K1/(Angle of Rotation*Thickness of Circular Arch*Horizontal Thickness of an Arch)
Elastic Modulus of Rock = Shear Force*Constant K3/Deflection due to Moments on Arch Dam
Elastic Modulus of Rock = Cantilever Twisting Moment*Constant K4/(Angle of Rotation*Thickness of Circular Arch^2)

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