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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. Check FAQs
t=(Mt⋅K1E⋅Φ)0.5
t - Horizontal Thickness of an Arch?Mt - Moment acting on Arch Dam?K1 - Constant K1?E - Elastic Modulus of Rock?Φ - Angle of Rotation?

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

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Here is how the Radial Thickness of Element given Rotation due to moment on Arch Dam equation looks like with Values.

Here is how the Radial Thickness of Element given Rotation due to moment on Arch Dam equation looks like with Units.

Here is how the Radial Thickness of Element given Rotation due to moment on Arch Dam equation looks like.

1.2362Edit=(54.5Edit⋅10.01Edit10.2Edit⋅35Edit)0.5
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Radial Thickness of Element given Rotation due to moment on Arch Dam Solution

Follow our step by step solution on how to calculate Radial Thickness of Element given Rotation due to moment on Arch Dam?

FIRST Step Consider the formula
t=(Mt⋅K1E⋅Φ)0.5
Next Step Substitute values of Variables
∴ t=(54.5N*m⋅10.0110.2N/m²⋅35rad)0.5
Next Step Convert Units
∴ t=(54.5J⋅10.0110.2Pa⋅35rad)0.5
Next Step Prepare to Evaluate
∴ t=(54.5⋅10.0110.2⋅35)0.5
Next Step Evaluate
∴t=1.23617848828636m
LAST Step Rounding Answer
∴t=1.2362m

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

Variables
Horizontal Thickness of an Arch
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.
Symbol: t
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Horizontal Thickness of an ArchOpen Variable
Moment acting on Arch Dam
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.
Symbol: Mt
Measurement: EnergyUnit: N*m
Note: Value can be positive or negative.
Formulas to find Moment acting on Arch DamOpen Variable
Constant K1
Constant K1 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.
Symbol: K1
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Constant K1Open Variable
Elastic Modulus of Rock
Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.
Symbol: E
Measurement: PressureUnit: N/m²
Note: Value can be positive or negative.
Formulas to find Elastic Modulus of RockOpen Variable
Angle of Rotation
Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line.
Symbol: Φ
Measurement: AngleUnit: rad
Note: Value should be greater than 0.
Formulas to find Angle of RotationOpen Variable

Other Formulas to find Horizontal Thickness of an Arch

​Go Radial Thickness of Element given Rotation due to Twist on Arch Dam
t=(M⋅K4E⋅Φ)0.5
​Go Radial Thickness of Element given Rotation due to Shear on Arch Dam
t=Fs⋅K5E⋅Φ
​Go Radial Thickness of Element given Deflection due to Moments on Arch Dam
t=Mt⋅K5E⋅δ

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

Radial Thickness of Element given Rotation due to moment on Arch Dam evaluator uses Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5 to evaluate the Horizontal Thickness of an Arch, Radial Thickness of Element given Rotation due to moment on Arch Dam is defined as thickness along particular direction. Horizontal Thickness of an Arch is denoted by t symbol.

How to evaluate Radial Thickness of Element given Rotation due to moment on Arch Dam using this online evaluator? To use this online evaluator for Radial Thickness of Element given Rotation due to moment on Arch Dam, enter Moment acting on Arch Dam (Mt), Constant K1 (K1), Elastic Modulus of Rock (E) & Angle of Rotation (Φ) and hit the calculate button.

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

What is the formula to find Radial Thickness of Element given Rotation due to moment on Arch Dam?
The formula of Radial Thickness of Element given Rotation due to moment on Arch Dam is expressed as Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5. Here is an example- 1.236178 = (54.5*10.01/(10.2*35))^0.5.
How to calculate Radial Thickness of Element given Rotation due to moment on Arch Dam?
With Moment acting on Arch Dam (Mt), Constant K1 (K1), Elastic Modulus of Rock (E) & Angle of Rotation (Φ) we can find Radial Thickness of Element given Rotation due to moment on Arch Dam using the formula - Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5.
What are the other ways to Calculate Horizontal Thickness of an Arch?
Here are the different ways to Calculate Horizontal Thickness of an Arch-
  • Horizontal Thickness of an Arch=(Cantilever Twisting Moment*Constant K4/(Elastic Modulus of Rock*Angle of Rotation))^0.5OpenImg
  • Horizontal Thickness of an Arch=Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation)OpenImg
  • Horizontal Thickness of an Arch=Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Deflection due to Moments on Arch Dam)OpenImg
Can the Radial Thickness of Element given Rotation due to moment on Arch Dam be negative?
No, the Radial Thickness of Element given Rotation due to moment on Arch Dam, measured in Length cannot be negative.
Which unit is used to measure Radial Thickness of Element given Rotation due to moment on Arch Dam?
Radial Thickness of Element given Rotation due to moment on Arch Dam is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radial Thickness of Element given Rotation due to moment on Arch Dam can be measured.
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