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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=Mt⋅K5E⋅t
δ - Deflection due to Moments on Arch Dam?Mt - Moment acting on Arch Dam?K5 - Constant K5?E - Elastic Modulus of Rock?t - Horizontal Thickness of an Arch?

Deflection due to Moments on Arch Dam Example

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With units
Only example

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

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

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

42.2998Edit=54.5Edit⋅9.5Edit10.2Edit⋅1.2Edit
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Deflection due to Moments on Arch Dam Solution

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

FIRST Step Consider the formula
δ=Mt⋅K5E⋅t
Next Step Substitute values of Variables
∴ δ=54.5N*m⋅9.510.2N/m²⋅1.2m
Next Step Convert Units
∴ δ=54.5J⋅9.510.2Pa⋅1.2m
Next Step Prepare to Evaluate
∴ δ=54.5⋅9.510.2⋅1.2
Next Step Evaluate
∴δ=42.2998366013072m
LAST Step Rounding Answer
∴δ=42.2998m

Deflection due to Moments 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
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 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
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

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 Shear on Arch Dam
δ=Fs⋅K3E

How to Evaluate Deflection due to Moments on Arch Dam?

Deflection due to Moments on Arch Dam evaluator uses Deflection due to Moments on Arch Dam = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Horizontal Thickness of an Arch) to evaluate the Deflection due to Moments on Arch Dam, Deflection due to Moments on Arch Dam refers to the bending or deformation experienced by the dam structure in response to applied moments. Deflection due to Moments on Arch Dam is denoted by δ symbol.

How to evaluate Deflection due to Moments on Arch Dam using this online evaluator? To use this online evaluator for Deflection due to Moments on Arch Dam, enter Moment acting on Arch Dam (Mt), Constant K5 (K5), Elastic Modulus of Rock (E) & Horizontal Thickness of an Arch (t) and hit the calculate button.

FAQs on Deflection due to Moments on Arch Dam

What is the formula to find Deflection due to Moments on Arch Dam?
The formula of Deflection due to Moments on Arch Dam is expressed as Deflection due to Moments on Arch Dam = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Horizontal Thickness of an Arch). Here is an example- 42.29984 = 54.5*9.5/(10.2*1.2).
How to calculate Deflection due to Moments on Arch Dam?
With Moment acting on Arch Dam (Mt), Constant K5 (K5), Elastic Modulus of Rock (E) & Horizontal Thickness of an Arch (t) we can find Deflection due to Moments on Arch Dam using the formula - Deflection due to Moments on Arch Dam = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Horizontal Thickness of an Arch).
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=Shear Force*Constant K3/Elastic Modulus of RockOpenImg
Can the Deflection due to Moments on Arch Dam be negative?
No, the Deflection due to Moments on Arch Dam, measured in Length cannot be negative.
Which unit is used to measure Deflection due to Moments on Arch Dam?
Deflection due to Moments 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 Moments on Arch Dam can be measured.
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