Radial Thickness of Element given Rotation due to Shear on Arch Dam Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [F_s]			+10% -10%
✖Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K5 [K₅]			+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%
✖Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line.ⓘ Angle of Rotation [Φ]			+10% -10%

✖Horizontal Thickness of an Arch, also known as the arch thickness or arch rise, refers to the distance between the intrados and the extrados along the horizontal axis.ⓘ Radial Thickness of Element given Rotation due to Shear on Arch Dam [t]

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Radial Thickness of Element given Rotation due to Shear on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Thickness of an Arch = Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation)
t = F_s*K₅/(E*Φ)
This formula uses 5 Variables

Variables Used

Horizontal Thickness of an Arch - (Measured in Meter) - Horizontal Thickness of an Arch, also known as the arch thickness or arch rise, refers to the distance between the intrados and the extrados along the horizontal axis.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Constant K5 - Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.
Elastic Modulus of Rock - (Measured in Pascal) - Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.
Angle of Rotation - (Measured in Radian) - Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 48.5 Newton --> 48.5 Newton No Conversion Required
Constant K5: 9.5 --> No Conversion Required
Elastic Modulus of Rock: 10.2 Newton per Square Meter --> 10.2 Pascal (Check conversion here)
Angle of Rotation: 35 Radian --> 35 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = F_s*K₅/(E*Φ) --> 48.5*9.5/(10.2*35)

Evaluating ... ...

t = 1.2906162464986

STEP 3: Convert Result to Output's Unit

1.2906162464986 Meter --> No Conversion Required

FINAL ANSWER

1.2906162464986 ≈ 1.290616 Meter <-- Horizontal Thickness of an Arch

(Calculation completed in 00.006 seconds)

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< Radial Thickness of Element Calculators

Radial Thickness of Element given Deflection due to Moments on Arch Dam

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

Radial Thickness of Element given Rotation due to Twist on Arch Dam

LaTeX Go Horizontal Thickness of an Arch = (Cantilever Twisting Moment*Constant K4/(Elastic Modulus of Rock*Angle of Rotation))^0.5

Radial Thickness of Element given Rotation due to moment on Arch Dam

LaTeX Go Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5

Radial Thickness of Element given Rotation due to Shear on Arch Dam

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

Radial Thickness of Element given Rotation due to Shear on Arch Dam Formula

LaTeX Go

Horizontal Thickness of an Arch = Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation)
t = F_s*K₅/(E*Φ)

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 Radial Thickness of Element given Rotation due to Shear on Arch Dam?

Radial Thickness of Element given Rotation due to Shear on Arch Dam calculator uses Horizontal Thickness of an Arch = Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation) to calculate the Horizontal Thickness of an Arch, Radial Thickness of Element given Rotation due to Shear on Arch Dam is the measurement of its width perpendicular to the center of an arch dam, influenced by the rotation caused by shear forces acting on the structure. Horizontal Thickness of an Arch is denoted by t symbol.

How to calculate Radial Thickness of Element given Rotation due to Shear on Arch Dam using this online calculator? To use this online calculator for Radial Thickness of Element given Rotation due to Shear on Arch Dam, enter Shear Force (F_s), Constant K5 (K₅), Elastic Modulus of Rock (E) & Angle of Rotation (Φ) and hit the calculate button. Here is how the Radial Thickness of Element given Rotation due to Shear on Arch Dam calculation can be explained with given input values -> 1.290616 = 48.5*9.5/(10.2*35).

FAQ

What is Radial Thickness of Element given Rotation due to Shear on Arch Dam?

Radial Thickness of Element given Rotation due to Shear on Arch Dam is the measurement of its width perpendicular to the center of an arch dam, influenced by the rotation caused by shear forces acting on the structure and is represented as t = F_s*K₅/(E*Φ) or Horizontal Thickness of an Arch = Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation). Shear Force is the force which causes shear deformation to occur in the shear plane, Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam, Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation & Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line.

How to calculate Radial Thickness of Element given Rotation due to Shear on Arch Dam?

Radial Thickness of Element given Rotation due to Shear on Arch Dam is the measurement of its width perpendicular to the center of an arch dam, influenced by the rotation caused by shear forces acting on the structure is calculated using Horizontal Thickness of an Arch = Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation). To calculate Radial Thickness of Element given Rotation due to Shear on Arch Dam, you need Shear Force (F_s), Constant K5 (K₅), Elastic Modulus of Rock (E) & Angle of Rotation (Φ). With our tool, you need to enter the respective value for Shear Force, Constant K5, Elastic Modulus of Rock & Angle of Rotation 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 Horizontal Thickness of an Arch?

In this formula, Horizontal Thickness of an Arch uses Shear Force, Constant K5, Elastic Modulus of Rock & Angle of Rotation. We can use 3 other way(s) to calculate the same, which is/are as follows -

Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5
Horizontal Thickness of an Arch = (Cantilever Twisting Moment*Constant K4/(Elastic Modulus of Rock*Angle of Rotation))^0.5
Horizontal Thickness of an Arch = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Deflection due to Moments on Arch Dam)

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