FormulaDen logo
FormulaDen.com
Search
Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health
Fx Copy
LaTeX Copy
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=Fs⋅K5E⋅Φ
t - Horizontal Thickness of an Arch?Fs - Shear Force?K5 - Constant K5?E - Elastic Modulus of Rock?Φ - Angle of Rotation?

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

With values
With units
Only example

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

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

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

1.2906Edit=48.5Edit⋅9.5Edit10.2Edit⋅35Edit
Solution
Copy
Reset
Share
You are here -
HomeIcon Home » Category Engineering » Category Civil » Category Hydraulics and Waterworks » fx Radial Thickness of Element given Rotation due to Shear on Arch Dam

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

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

FIRST Step Consider the formula
t=Fs⋅K5E⋅Φ
Next Step Substitute values of Variables
∴ t=48.5N⋅9.510.2N/m²⋅35rad
Next Step Convert Units
∴ t=48.5N⋅9.510.2Pa⋅35rad
Next Step Prepare to Evaluate
∴ t=48.5⋅9.510.2⋅35
Next Step Evaluate
∴t=1.2906162464986m
LAST Step Rounding Answer
∴t=1.2906m

Radial Thickness of Element given Rotation due to Shear 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
Shear Force
Shear Force is the force which causes shear deformation to occur in the shear plane.
Symbol: Fs
Measurement: ForceUnit: N
Note: Value can be positive or negative.
Formulas to find Shear ForceOpen Variable
Constant K5
Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.
Symbol: K5
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Constant K5Open 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 moment on Arch Dam
t=(Mt⋅K1E⋅Φ)0.5
​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 Deflection due to Moments on Arch Dam
t=Mt⋅K5E⋅δ

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

Radial Thickness of Element given Rotation due to Shear on Arch Dam evaluator uses Horizontal Thickness of an Arch = Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation) to evaluate 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 evaluate Radial Thickness of Element given Rotation due to Shear on Arch Dam using this online evaluator? To use this online evaluator for Radial Thickness of Element given Rotation due to Shear on Arch Dam, enter Shear Force (Fs), Constant K5 (K5), Elastic Modulus of Rock (E) & Angle of Rotation (Φ) and hit the calculate button.

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

What is the formula to find Radial Thickness of Element given Rotation due to Shear on Arch Dam?
The formula of Radial Thickness of Element given Rotation due to Shear on Arch Dam is expressed as Horizontal Thickness of an Arch = Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation). Here is an example- 1.290616 = 48.5*9.5/(10.2*35).
How to calculate Radial Thickness of Element given Rotation due to Shear on Arch Dam?
With Shear Force (Fs), Constant K5 (K5), Elastic Modulus of Rock (E) & Angle of Rotation (Φ) we can find Radial Thickness of Element given Rotation due to Shear on Arch Dam using the formula - Horizontal Thickness of an Arch = Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation).
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=(Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5OpenImg
  • Horizontal Thickness of an Arch=(Cantilever Twisting Moment*Constant K4/(Elastic Modulus of Rock*Angle of Rotation))^0.5OpenImg
  • 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 Shear on Arch Dam be negative?
No, the Radial Thickness of Element given Rotation due to Shear on Arch Dam, measured in Length cannot be negative.
Which unit is used to measure 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 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 Shear on Arch Dam can be measured.
About | Contact | Disclaimer | Terms | Privacy Policy
© 2024. Developed & Maintained by softUsvista Inc.
Copied!