Constant K3 given Deflection due to Shear 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%
✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [F_s]			+10% -10%

✖Constant K3 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K3 given Deflection due to Shear on Arch Dam [K₃]

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Formula

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Constant K3 given Deflection due to Shear on Arch Dam

Formula

`"K"_{"3"} = "δ"*"E"/"F"_{"s"}`

Example

`"10.11588"="48.1m"*"10.2N/m²"/"48.5N"`

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Constant K3 given Deflection due to Shear on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant K3 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Shear Force
K₃ = δ*E/F_s
This formula uses 4 Variables

Variables Used

Constant K3 - Constant K3 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.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.

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)
Shear Force: 48.5 Newton --> 48.5 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K₃ = δ*E/F_s --> 48.1*10.2/48.5

Evaluating ... ...

K₃ = 10.1158762886598

STEP 3: Convert Result to Output's Unit

10.1158762886598 --> No Conversion Required

FINAL ANSWER

10.1158762886598 ≈ 10.11588 <-- Constant K3

(Calculation completed in 00.020 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 K3 given Deflection due to Shear on Arch Dam Formula

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

What is Shear Force ?

Shearing forces are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction. When the forces are colinear, they are called compression forces.

How to Calculate Constant K3 given Deflection due to Shear on Arch Dam?

Constant K3 given Deflection due to Shear on Arch Dam calculator uses Constant K3 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Shear Force to calculate the Constant K3, Constant K3 given Deflection due to Shear on Arch Dam formula, which is a measure of the deformation caused by shear forces acting on the dam structure. Constant K3 is denoted by K₃ symbol.

How to calculate Constant K3 given Deflection due to Shear on Arch Dam using this online calculator? To use this online calculator for Constant K3 given Deflection due to Shear on Arch Dam, enter Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Shear Force (F_s) and hit the calculate button. Here is how the Constant K3 given Deflection due to Shear on Arch Dam calculation can be explained with given input values -> 10.11588 = 48.1*10.2/48.5.

FAQ

What is Constant K3 given Deflection due to Shear on Arch Dam?

Constant K3 given Deflection due to Shear on Arch Dam formula, which is a measure of the deformation caused by shear forces acting on the dam structure and is represented as K₃ = δ*E/F_s or Constant K3 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Shear Force. 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 & Shear Force is the force which causes shear deformation to occur in the shear plane.

How to calculate Constant K3 given Deflection due to Shear on Arch Dam?

Constant K3 given Deflection due to Shear on Arch Dam formula, which is a measure of the deformation caused by shear forces acting on the dam structure is calculated using Constant K3 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Shear Force. To calculate Constant K3 given Deflection due to Shear on Arch Dam, you need Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Shear Force (F_s). With our tool, you need to enter the respective value for Deflection due to Moments on Arch Dam, Elastic Modulus of Rock & Shear Force 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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