Moments given Deflection due to Moments 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%
✖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.ⓘ Horizontal Thickness of an Arch [t]			+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%

✖Moment acting on Arch Dam is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.ⓘ Moments given Deflection due to Moments on Arch Dam [M_t]

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Moments given Deflection due to Moments on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment acting on Arch Dam = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5
M_t = δ*(E*t)/K₅
This formula uses 5 Variables

Variables Used

Moment acting on Arch Dam - (Measured in Joule) - Moment acting on Arch Dam is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.
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.
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.
Constant K5 - Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

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)
Horizontal Thickness of an Arch: 1.2 Meter --> 1.2 Meter No Conversion Required
Constant K5: 9.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_t = δ*(E*t)/K₅ --> 48.1*(10.2*1.2)/9.5

Evaluating ... ...

M_t = 61.9730526315789

STEP 3: Convert Result to Output's Unit

61.9730526315789 Joule -->61.9730526315789 Newton Meter (Check conversion here)

FINAL ANSWER

61.9730526315789 ≈ 61.97305 Newton Meter <-- Moment acting on Arch Dam

(Calculation completed in 00.004 seconds)

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< Moments acting on Arch Dam Calculators

Moment at Abutments of Arch Dam

LaTeX Go Moment acting on Arch Dam = Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(sin(Angle between Crown and Abundant Radii)/(Angle between Crown and Abundant Radii)-cos(Angle between Crown and Abundant Radii))

Moment at Crown of Arch Dam

LaTeX Go Moment acting on Arch Dam = -Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(1-((sin(Angle between Crown and Abundant Radii))/Angle between Crown and Abundant Radii))

Moments given Intrados Stresses on Arch Dam

LaTeX Go Moment acting on Arch Dam = (Intrados Stresses*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch-Thrust of Abutments*Horizontal Thickness of an Arch)/6

Moments given Extrados Stresses on Arch Dam

LaTeX Go Moment acting on Arch Dam = Extrados Stress*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch+Thrust of Abutments*Horizontal Thickness of an Arch/6

Moments given Deflection due to Moments on Arch Dam Formula

LaTeX Go

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

What is Elastic Modulus of Rock ?

The elastic modulus describes the linear elastic deformation response of rock under deformation. The static elastic modulus of an intact rock, Ei, is typically calculated as the slope of the stress–strain curve of a rock deforming under uniaxial compression (Ulusay and Hudson 2007).

How to Calculate Moments given Deflection due to Moments on Arch Dam?

Moments given Deflection due to Moments on Arch Dam calculator uses Moment acting on Arch Dam = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5 to calculate the Moment acting on Arch Dam, Moments given Deflection due to Moments on Arch Dam is defined as applied external moment on abutment of dam. Moment acting on Arch Dam is denoted by M_t symbol.

How to calculate Moments given Deflection due to Moments on Arch Dam using this online calculator? To use this online calculator for Moments given Deflection due to Moments on Arch Dam, enter Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Constant K5 (K₅) and hit the calculate button. Here is how the Moments given Deflection due to Moments on Arch Dam calculation can be explained with given input values -> 61.97305 = 48.1*(10.2*1.2)/9.5.

FAQ

What is Moments given Deflection due to Moments on Arch Dam?

Moments given Deflection due to Moments on Arch Dam is defined as applied external moment on abutment of dam and is represented as M_t = δ*(E*t)/K₅ or Moment acting on Arch Dam = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5. 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, 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 & Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

How to calculate Moments given Deflection due to Moments on Arch Dam?

Moments given Deflection due to Moments on Arch Dam is defined as applied external moment on abutment of dam is calculated using Moment acting on Arch Dam = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5. To calculate Moments given Deflection due to Moments on Arch Dam, you need Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Constant K5 (K₅). With our tool, you need to enter the respective value for Deflection due to Moments on Arch Dam, Elastic Modulus of Rock, Horizontal Thickness of an Arch & Constant K5 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 Moment acting on Arch Dam?

In this formula, Moment acting on Arch Dam uses Deflection due to Moments on Arch Dam, Elastic Modulus of Rock, Horizontal Thickness of an Arch & Constant K5. We can use 3 other way(s) to calculate the same, which is/are as follows -

Moment acting on Arch Dam = -Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(1-((sin(Angle between Crown and Abundant Radii))/Angle between Crown and Abundant Radii))
Moment acting on Arch Dam = Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(sin(Angle between Crown and Abundant Radii)/(Angle between Crown and Abundant Radii)-cos(Angle between Crown and Abundant Radii))
Moment acting on Arch Dam = (Intrados Stresses*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch-Thrust of Abutments*Horizontal Thickness of an Arch)/6

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