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Shear Force is the force which causes shear deformation to occur in the shear plane. Check FAQs
Fs=δEK3
Fs - Shear Force?δ - Deflection due to Moments on Arch Dam?E - Elastic Modulus of Rock?K3 - Constant K3?

Shear Force given Deflection due to Shear on Arch Dam Example

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

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

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

49.1111Edit=48.1Edit10.2Edit9.99Edit
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Shear Force given Deflection due to Shear on Arch Dam Solution

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

FIRST Step Consider the formula
Fs=δEK3
Next Step Substitute values of Variables
Fs=48.1m10.2N/m²9.99
Next Step Convert Units
Fs=48.1m10.2Pa9.99
Next Step Prepare to Evaluate
Fs=48.110.29.99
Next Step Evaluate
Fs=49.1111111111111N
LAST Step Rounding Answer
Fs=49.1111N

Shear Force given Deflection due to Shear on Arch Dam Formula Elements

Variables
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.
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.
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.
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.

Other Formulas to find Shear Force

​Go Shear Force given Rotation due to Shear on Arch Dam
Fs=ΦEtK5

Other formulas in Arch Dams category

​Go Radius to centerline given Thrust at Abutments of Arch Dam
r=P-Fcos(θ)1-cos(θ)Pv
​Go Angle between Crown and Abutments given Thrust at Abutments of Arch Dam
θ=acos(P-Pvr-Pvr+F)
​Go Intrados Stresses on Arch Dam
S=(Ft)+(6Mtt2)
​Go Extrados Stresses on Arch Dam
S=(Ft)-(6Mtt2)

How to Evaluate Shear Force given Deflection due to Shear on Arch Dam?

Shear Force given Deflection due to Shear on Arch Dam evaluator uses Shear Force = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K3 to evaluate the Shear Force, Shear Force given Deflection due to Shear on Arch Dam refers to the internal force that is perpendicular to the longitudinal axis of the dam and is generated due to the deflection caused by the applied shear forces, such as water pressure. Shear Force is denoted by Fs symbol.

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

FAQs on Shear Force given Deflection due to Shear on Arch Dam

What is the formula to find Shear Force given Deflection due to Shear on Arch Dam?
The formula of Shear Force given Deflection due to Shear on Arch Dam is expressed as Shear Force = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K3. Here is an example- 49.11111 = 48.1*10.2/9.99.
How to calculate Shear Force given Deflection due to Shear on Arch Dam?
With Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Constant K3 (K3) we can find Shear Force given Deflection due to Shear on Arch Dam using the formula - Shear Force = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K3.
What are the other ways to Calculate Shear Force?
Here are the different ways to Calculate Shear Force-
  • Shear Force=Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5OpenImg
Can the Shear Force given Deflection due to Shear on Arch Dam be negative?
Yes, the Shear Force given Deflection due to Shear on Arch Dam, measured in Force can be negative.
Which unit is used to measure Shear Force given Deflection due to Shear on Arch Dam?
Shear Force given Deflection due to Shear on Arch Dam is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Shear Force given Deflection due to Shear on Arch Dam can be measured.
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