Deflection at Any Point on Simply Supported carrying Couple Moment at Right End Calculator

✖Moment of couple is equal to the product of either of forces and the perpendicular distance between the forces.ⓘ Moment of Couple [M_c]			+10% -10%
✖Length of Beam is defined as the distance between the supports.ⓘ Length of Beam [l]			+10% -10%
✖Distance x from Support is the length of a beam from the support to any point on the beam.ⓘ Distance x from Support [x]			+10% -10%
✖Elasticity modulus of Concrete (Ec) is the ratio of the applied stress to the corresponding strain.ⓘ Elasticity Modulus of Concrete [E]			+10% -10%
✖Area Moment of Inertia is a moment about the centroidal axis without considering mass.ⓘ Area Moment of Inertia [I]			+10% -10%

✖Deflection of Beam Deflection is the movement of a beam or node from its original position. It happens due to the forces and loads being applied to the body.ⓘ Deflection at Any Point on Simply Supported carrying Couple Moment at Right End [δ]

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Deflection at Any Point on Simply Supported carrying Couple Moment at Right End Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Beam = (((Moment of Couple*Length of Beam*Distance x from Support)/(6*Elasticity Modulus of Concrete*Area Moment of Inertia))*(1-((Distance x from Support^2)/(Length of Beam^2))))
δ = (((M_c*l*x)/(6*E*I))*(1-((x^2)/(l^2))))
This formula uses 6 Variables

Variables Used

Deflection of Beam - (Measured in Meter) - Deflection of Beam Deflection is the movement of a beam or node from its original position. It happens due to the forces and loads being applied to the body.
Moment of Couple - (Measured in Newton Meter) - Moment of couple is equal to the product of either of forces and the perpendicular distance between the forces.
Length of Beam - (Measured in Meter) - Length of Beam is defined as the distance between the supports.
Distance x from Support - (Measured in Meter) - Distance x from Support is the length of a beam from the support to any point on the beam.
Elasticity Modulus of Concrete - (Measured in Pascal) - Elasticity modulus of Concrete (Ec) is the ratio of the applied stress to the corresponding strain.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a moment about the centroidal axis without considering mass.

STEP 1: Convert Input(s) to Base Unit

Moment of Couple: 85 Kilonewton Meter --> 85000 Newton Meter (Check conversion here)
Length of Beam: 5000 Millimeter --> 5 Meter (Check conversion here)
Distance x from Support: 1300 Millimeter --> 1.3 Meter (Check conversion here)
Elasticity Modulus of Concrete: 30000 Megapascal --> 30000000000 Pascal (Check conversion here)
Area Moment of Inertia: 0.0016 Meter⁴ --> 0.0016 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (((M_c*l*x)/(6*E*I))*(1-((x^2)/(l^2)))) --> (((85000*5*1.3)/(6*30000000000*0.0016))*(1-((1.3^2)/(5^2))))

Evaluating ... ...

δ = 0.00178871875

STEP 3: Convert Result to Output's Unit

0.00178871875 Meter -->1.78871875 Millimeter (Check conversion here)

FINAL ANSWER

1.78871875 ≈ 1.788719 Millimeter <-- Deflection of Beam

(Calculation completed in 00.004 seconds)

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< Simply Supported Beam Calculators

Deflection at Any Point on Simply Supported Beam carrying UDL

LaTeX Go Deflection of Beam = ((((Load per Unit Length*Distance x from Support)/(24*Elasticity Modulus of Concrete*Area Moment of Inertia))*((Length of Beam^3)-(2*Length of Beam*Distance x from Support^2)+(Distance x from Support^3))))

Deflection at Any Point on Simply Supported carrying Couple Moment at Right End

LaTeX Go Deflection of Beam = (((Moment of Couple*Length of Beam*Distance x from Support)/(6*Elasticity Modulus of Concrete*Area Moment of Inertia))*(1-((Distance x from Support^2)/(Length of Beam^2))))

Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support

LaTeX Go Deflection of Beam = (0.00651*(Uniformly Varying Load*(Length of Beam^4))/(Elasticity Modulus of Concrete*Area Moment of Inertia))

Center Deflection of Simply Supported Beam carrying Couple Moment at Right End

LaTeX Go Deflection of Beam = ((Moment of Couple*Length of Beam^2)/(16*Elasticity Modulus of Concrete*Area Moment of Inertia))

Deflection at Any Point on Simply Supported carrying Couple Moment at Right End Formula

LaTeX Go

What is Beam Deflection?

The Deformation of a Beam is usually expressed in terms of its deflection from its original unloaded position. The deflection is measured from the original neutral surface of the beam to the neutral surface of the deformed beam. The configuration assumed by the deformed neutral surface is known as the elastic curve of the beam.

What is Moment of couple?

The Tendency of a Force is to rotate a body. It is measured by the moment of the force. The product of one of the two forces of a Couple and the perpendicular distance between their lines of action (called the arm of the Couple) is called the Moment of Couple.

How to Calculate Deflection at Any Point on Simply Supported carrying Couple Moment at Right End?

Deflection at Any Point on Simply Supported carrying Couple Moment at Right End calculator uses Deflection of Beam = (((Moment of Couple*Length of Beam*Distance x from Support)/(6*Elasticity Modulus of Concrete*Area Moment of Inertia))*(1-((Distance x from Support^2)/(Length of Beam^2)))) to calculate the Deflection of Beam, The Deflection at Any Point on Simply Supported carrying Couple Moment at Right End formula is defined as the distance between its position before and after loading. Deflection of Beam is denoted by δ symbol.

How to calculate Deflection at Any Point on Simply Supported carrying Couple Moment at Right End using this online calculator? To use this online calculator for Deflection at Any Point on Simply Supported carrying Couple Moment at Right End, enter Moment of Couple (M_c), Length of Beam (l), Distance x from Support (x), Elasticity Modulus of Concrete (E) & Area Moment of Inertia (I) and hit the calculate button. Here is how the Deflection at Any Point on Simply Supported carrying Couple Moment at Right End calculation can be explained with given input values -> 1788.719 = (((85000*5*1.3)/(6*30000000000*0.0016))*(1-((1.3^2)/(5^2)))).

FAQ

What is Deflection at Any Point on Simply Supported carrying Couple Moment at Right End?

The Deflection at Any Point on Simply Supported carrying Couple Moment at Right End formula is defined as the distance between its position before and after loading and is represented as δ = (((M_c*l*x)/(6*E*I))*(1-((x^2)/(l^2)))) or Deflection of Beam = (((Moment of Couple*Length of Beam*Distance x from Support)/(6*Elasticity Modulus of Concrete*Area Moment of Inertia))*(1-((Distance x from Support^2)/(Length of Beam^2)))). Moment of couple is equal to the product of either of forces and the perpendicular distance between the forces, Length of Beam is defined as the distance between the supports, Distance x from Support is the length of a beam from the support to any point on the beam, Elasticity modulus of Concrete (Ec) is the ratio of the applied stress to the corresponding strain & Area Moment of Inertia is a moment about the centroidal axis without considering mass.

How to calculate Deflection at Any Point on Simply Supported carrying Couple Moment at Right End?

The Deflection at Any Point on Simply Supported carrying Couple Moment at Right End formula is defined as the distance between its position before and after loading is calculated using Deflection of Beam = (((Moment of Couple*Length of Beam*Distance x from Support)/(6*Elasticity Modulus of Concrete*Area Moment of Inertia))*(1-((Distance x from Support^2)/(Length of Beam^2)))). To calculate Deflection at Any Point on Simply Supported carrying Couple Moment at Right End, you need Moment of Couple (M_c), Length of Beam (l), Distance x from Support (x), Elasticity Modulus of Concrete (E) & Area Moment of Inertia (I). With our tool, you need to enter the respective value for Moment of Couple, Length of Beam, Distance x from Support, Elasticity Modulus of Concrete & Area Moment of Inertia and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Deflection of Beam?

In this formula, Deflection of Beam uses Moment of Couple, Length of Beam, Distance x from Support, Elasticity Modulus of Concrete & Area Moment of Inertia. We can use 3 other way(s) to calculate the same, which is/are as follows -

Deflection of Beam = ((Moment of Couple*Length of Beam^2)/(16*Elasticity Modulus of Concrete*Area Moment of Inertia))
Deflection of Beam = (0.00651*(Uniformly Varying Load*(Length of Beam^4))/(Elasticity Modulus of Concrete*Area Moment of Inertia))
Deflection of Beam = ((((Load per Unit Length*Distance x from Support)/(24*Elasticity Modulus of Concrete*Area Moment of Inertia))*((Length of Beam^3)-(2*Length of Beam*Distance x from Support^2)+(Distance x from Support^3))))

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