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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). Check FAQs
δ=Fs⋅K3E
δ - Deflection due to Moments on Arch Dam?Fs - Shear Force?K3 - Constant K3?E - Elastic Modulus of Rock?

Deflection due to Shear on Arch Dam Example

With values
With units
Only example

Here is how the Deflection due to Shear on Arch Dam equation looks like with Values.

Here is how the Deflection due to Shear on Arch Dam equation looks like with Units.

Here is how the Deflection due to Shear on Arch Dam equation looks like.

47.5015Edit=48.5Edit⋅9.99Edit10.2Edit
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Deflection due to Shear on Arch Dam Solution

Follow our step by step solution on how to calculate Deflection due to Shear on Arch Dam?

FIRST Step Consider the formula
δ=Fs⋅K3E
Next Step Substitute values of Variables
∴ δ=48.5N⋅9.9910.2N/m²
Next Step Convert Units
∴ δ=48.5N⋅9.9910.2Pa
Next Step Prepare to Evaluate
∴ δ=48.5⋅9.9910.2
Next Step Evaluate
∴δ=47.5014705882353m
LAST Step Rounding Answer
∴δ=47.5015m

Deflection due to Shear on Arch Dam Formula Elements

Variables
Deflection due to Moments on Arch Dam
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).
Symbol: δ
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Deflection due to Moments on Arch DamOpen 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 K3
Constant K3 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.
Symbol: K3
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Constant K3Open 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

Other Formulas to find Deflection due to Moments on Arch Dam

​Go Deflection due to Thrust on Arch Dam
δ=F⋅K2E
​Go Deflection due to Moments on Arch Dam
δ=Mt⋅K5E⋅t

How to Evaluate Deflection due to Shear on Arch Dam?

Deflection due to Shear on Arch Dam evaluator uses Deflection due to Moments on Arch Dam = Shear Force*Constant K3/Elastic Modulus of Rock to evaluate the Deflection due to Moments on Arch Dam, Deflection due to Shear on Arch Dam refers to the bending or deformation of the dam structure caused by the horizontal forces generated by water pressure. Deflection due to Moments on Arch Dam is denoted by δ symbol.

How to evaluate Deflection due to Shear on Arch Dam using this online evaluator? To use this online evaluator for Deflection due to Shear on Arch Dam, enter Shear Force (Fs), Constant K3 (K3) & Elastic Modulus of Rock (E) and hit the calculate button.

FAQs on Deflection due to Shear on Arch Dam

What is the formula to find Deflection due to Shear on Arch Dam?
The formula of Deflection due to Shear on Arch Dam is expressed as Deflection due to Moments on Arch Dam = Shear Force*Constant K3/Elastic Modulus of Rock. Here is an example- 47.50147 = 48.5*9.99/10.2.
How to calculate Deflection due to Shear on Arch Dam?
With Shear Force (Fs), Constant K3 (K3) & Elastic Modulus of Rock (E) we can find Deflection due to Shear on Arch Dam using the formula - Deflection due to Moments on Arch Dam = Shear Force*Constant K3/Elastic Modulus of Rock.
What are the other ways to Calculate Deflection due to Moments on Arch Dam?
Here are the different ways to Calculate Deflection due to Moments on Arch Dam-
  • Deflection due to Moments on Arch Dam=Thrust of Abutments*Constant K2/(Elastic Modulus of Rock)OpenImg
  • Deflection due to Moments on Arch Dam=Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Horizontal Thickness of an Arch)OpenImg
Can the Deflection due to Shear on Arch Dam be negative?
No, the Deflection due to Shear on Arch Dam, measured in Length cannot be negative.
Which unit is used to measure Deflection due to Shear on Arch Dam?
Deflection 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 Deflection due to Shear on Arch Dam can be measured.
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