Maximum Deflection of Simply Supported Beam 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%
✖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.ⓘ Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End [δ]

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Formula

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

Formula

`"δ" = (("M"_{"c"}*"l"^2)/(15.5884*"E"*"I"))`

Example

`"2.839986mm"=(("85kN*m"*("5000mm")^2)/(15.5884*"30000MPa"*"0.0016m⁴"))`

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Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Beam = ((Moment of Couple*Length of Beam^2)/(15.5884*Elasticity Modulus of Concrete*Area Moment of Inertia))
δ = ((M_c*l^2)/(15.5884*E*I))
This formula uses 5 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.
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)
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^2)/(15.5884*E*I)) --> ((85000*5^2)/(15.5884*30000000000*0.0016))

Evaluating ... ...

δ = 0.0028399857158742

STEP 3: Convert Result to Output's Unit

0.0028399857158742 Meter -->2.8399857158742 Millimeter (Check conversion here)

FINAL ANSWER

2.8399857158742 ≈ 2.839986 Millimeter <-- Deflection of Beam

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Strength of Materials » Slope and Deflection » Simply Supported Beam » Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End

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< 15 Simply Supported Beam Calculators

Deflection at Any Point on Simply Supported Beam carrying UDL

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

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

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

Maximum Deflection on Simply Supported Beam carrying UVL Max Intensity at Right Support

Go Deflection of Beam = (0.00652*(Uniformly Varying Load*(Length of Beam^4))/(Elasticity Modulus of Concrete*Area Moment of Inertia))

Maximum Deflection of Simply Supported Beam carrying Triangular Load with Max Intensity at Center

Go Deflection of Beam = (((Uniformly Varying Load*(Length of Beam^4))/(120*Elasticity Modulus of Concrete*Area Moment of Inertia)))

Maximum and Center Deflection of Simply Supported Beam carrying UDL over its Entire Length

Go Deflection of Beam = (5*Load per Unit Length*(Length of Beam^4))/(384*Elasticity Modulus of Concrete*Area Moment of Inertia)

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

Go Deflection of Beam = ((Moment of Couple*Length of Beam^2)/(15.5884*Elasticity Modulus of Concrete*Area Moment of Inertia))

Slope at Left End of Simply Supported Beam carrying UVL with Maximum Intensity at Right End

Go Slope of Beam = ((7*Uniformly Varying Load*Length of Beam^3)/(360*Elasticity Modulus of Concrete*Area Moment of Inertia))

Slope at Right End of Simply Supported Beam carrying UVL with Maximum Intensity at Right End

Go Slope of Beam = ((Uniformly Varying Load*Length of Beam^3)/(45*Elasticity Modulus of Concrete*Area Moment of Inertia))

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

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

Slope at Free Ends of Simply Supported Beam carrying UDL

Go Slope of Beam = ((Load per Unit Length*Length of Beam^3)/(24*Elasticity Modulus of Concrete*Area Moment of Inertia))

Maximum and Center Deflection of Simply Supported Beam carrying Point Load at Center

Go Deflection of Beam = (Point Load*(Length of Beam^3))/(48*Elasticity Modulus of Concrete*Area Moment of Inertia)

Slope at Right End of Simply Supported Beam carrying Couple at Right End

Go Slope of Beam = ((Moment of Couple*Length of Beam)/(3*Elasticity Modulus of Concrete*Area Moment of Inertia))

Slope at Left End of Simply Supported Beam carrying Couple at Right End

Go Slope of Beam = ((Moment of Couple*Length of Beam)/(6*Elasticity Modulus of Concrete*Area Moment of Inertia))

Slope at Free Ends of Simply Supported Beam carrying Concentrated Load at Center

Go Slope of Beam = ((Point Load*Length of Beam^2)/(16*Elasticity Modulus of Concrete*Area Moment of Inertia))

Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End Formula

Deflection of Beam = ((Moment of Couple*Length of Beam^2)/(15.5884*Elasticity Modulus of Concrete*Area Moment of Inertia))
δ = ((M_c*l^2)/(15.5884*E*I))

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 Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End?

Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End calculator uses Deflection of Beam = ((Moment of Couple*Length of Beam^2)/(15.5884*Elasticity Modulus of Concrete*Area Moment of Inertia)) to calculate the Deflection of Beam, The Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End formula is defined as the maximum distance between its position before and after applying couple moment. Deflection of Beam is denoted by δ symbol.

How to calculate Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End using this online calculator? To use this online calculator for Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End, enter Moment of Couple (M_c), Length of Beam (l), Elasticity Modulus of Concrete (E) & Area Moment of Inertia (I) and hit the calculate button. Here is how the Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End calculation can be explained with given input values -> 2839.986 = ((85000*5^2)/(15.5884*30000000000*0.0016)).

FAQ

What is Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End?

The Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End formula is defined as the maximum distance between its position before and after applying couple moment and is represented as δ = ((M_c*l^2)/(15.5884*E*I)) or Deflection of Beam = ((Moment of Couple*Length of Beam^2)/(15.5884*Elasticity Modulus of Concrete*Area Moment of Inertia)). 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, 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 Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End?

The Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End formula is defined as the maximum distance between its position before and after applying couple moment is calculated using Deflection of Beam = ((Moment of Couple*Length of Beam^2)/(15.5884*Elasticity Modulus of Concrete*Area Moment of Inertia)). To calculate Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End, you need Moment of Couple (M_c), Length of Beam (l), 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, 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, Elasticity Modulus of Concrete & Area Moment of Inertia. We can use 8 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 = (((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))))
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 of Beam = (Point Load*(Length of Beam^3))/(48*Elasticity Modulus of Concrete*Area Moment of Inertia)
Deflection of Beam = (5*Load per Unit Length*(Length of Beam^4))/(384*Elasticity Modulus of Concrete*Area Moment of Inertia)
Deflection of Beam = (((Uniformly Varying Load*(Length of Beam^4))/(120*Elasticity Modulus of Concrete*Area Moment of Inertia)))
Deflection of Beam = (0.00652*(Uniformly Varying Load*(Length of Beam^4))/(Elasticity Modulus of Concrete*Area Moment of Inertia))

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