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

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

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

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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. Check FAQs

δ = ((\frac{M c \cdot l \cdot x}{6 \cdot E \cdot I}) \cdot (1 - (\frac{x^{2}}{l^{2}})))

δ - Deflection of Beam?M_c - Moment of Couple?l - Length of Beam?x - Distance x from Support?E - Elasticity Modulus of Concrete?I - Area Moment of Inertia?

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

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Here is how the Deflection at Any Point on Simply Supported carrying Couple Moment at Right End equation looks like with Values.

Here is how the Deflection at Any Point on Simply Supported carrying Couple Moment at Right End equation looks like with Units.

Here is how the Deflection at Any Point on Simply Supported carrying Couple Moment at Right End equation looks like.

1.7887 = ((\frac{85 \cdot 5000 \cdot 1300}{6 \cdot 30000 \cdot 0.0016}) \cdot (1 - (\frac{1300^{2}}{5000^{2}})))

1.7887mm = ((\frac{85kN*m \cdot 5000mm \cdot 1300mm}{6 \cdot 30000MPa \cdot 0.0016m⁴}) \cdot (1 - (\frac{{1300mm}^{2}}{{5000mm}^{2}})))

1.7887 = ((\frac{85 \cdot 5000 \cdot 1300}{6 \cdot 30000 \cdot 0.0016}) \cdot (1 - (\frac{1300^{2}}{5000^{2}})))

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

Follow our step by step solution on how to calculate Deflection at Any Point on Simply Supported carrying Couple Moment at Right End?

FIRST Step Consider the formula

δ = ((\frac{M c \cdot l \cdot x}{6 \cdot E \cdot I}) \cdot (1 - (\frac{x^{2}}{l^{2}})))

Next Step Substitute values of Variables

∴

δ = ((\frac{85kN*m \cdot 5000mm \cdot 1300mm}{6 \cdot 30000MPa \cdot 0.0016m⁴}) \cdot (1 - (\frac{{1300mm}^{2}}{{5000mm}^{2}})))

Next Step Convert Units

∴

δ = ((\frac{85000N*m \cdot 5m \cdot 1.3m}{6 \cdot 3E+10Pa \cdot 0.0016m⁴}) \cdot (1 - (\frac{{1.3m}^{2}}{{5m}^{2}})))

Next Step Prepare to Evaluate

∴

δ = ((\frac{85000 \cdot 5 \cdot 1.3}{6 \cdot 3E+10 \cdot 0.0016}) \cdot (1 - (\frac{{1.3}^{2}}{5^{2}})))

Next Step Evaluate

∴

δ = 0.00178871875m

Next Step Convert to Output's Unit

∴

δ = 1.78871875mm

LAST Step Rounding Answer

∴

δ = 1.7887mm

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

Variables

Deflection of Beam

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.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Beam

Moment of Couple

Moment of couple is equal to the product of either of forces and the perpendicular distance between the forces.

Symbol: M_c

Measurement: Moment of ForceUnit: kN*m

Note: Value can be positive or negative.

Formulas to find Moment of Couple

Length of Beam

Length of Beam is defined as the distance between the supports.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Beam

Distance x from Support

Distance x from Support is the length of a beam from the support to any point on the beam.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance x from Support

Elasticity Modulus of Concrete

Elasticity modulus of Concrete (Ec) is the ratio of the applied stress to the corresponding strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Elasticity Modulus of Concrete

Area Moment of Inertia

Area Moment of Inertia is a moment about the centroidal axis without considering mass.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Other Formulas to find Deflection of Beam

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

δ = (\frac{M c \cdot l^{2}}{16 \cdot E \cdot I})

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

δ = (0.00651 \cdot \frac{q \cdot (l^{4})}{E \cdot I})

Go Deflection at Any Point on Simply Supported Beam carrying UDL

δ = (((\frac{w' \cdot x}{24 \cdot E \cdot I}) \cdot ((l^{3}) - (2 \cdot l \cdot x^{2}) + (x^{3}))))

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

δ = \frac{P \cdot (l^{3})}{48 \cdot E \cdot I}

Other formulas in Simply Supported Beam category

Go Slope at Free Ends of Simply Supported Beam carrying UDL

θ = (\frac{w' \cdot l^{3}}{24 \cdot E \cdot I})

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

θ = (\frac{P \cdot l^{2}}{16 \cdot E \cdot I})

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

θ = (\frac{M c \cdot l}{6 \cdot E \cdot I})

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

θ = (\frac{7 \cdot q \cdot l^{3}}{360 \cdot E \cdot I})

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Deflection at Any Point on Simply Supported carrying Couple Moment at Right End using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Deflection at Any Point on Simply Supported carrying Couple Moment at Right End?

The formula of Deflection at Any Point on Simply Supported carrying Couple Moment at Right End is expressed as 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)))). Here is an example- 1788.719 = (((85000*5*1.3)/(6*30000000000*0.0016))*(1-((1.3^2)/(5^2)))).

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

With Moment of Couple (M_c), Length of Beam (l), Distance x from Support (x), Elasticity Modulus of Concrete (E) & Area Moment of Inertia (I) we can find Deflection at Any Point on Simply Supported carrying Couple Moment at Right End using the formula - 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)))).

What are the other ways to Calculate Deflection of Beam?

Here are the different ways to Calculate Deflection of Beam-

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))))

Can the Deflection at Any Point on Simply Supported carrying Couple Moment at Right End be negative?

No, the Deflection at Any Point on Simply Supported carrying Couple Moment at Right End, measured in Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Deflection at Any Point on Simply Supported carrying Couple Moment at Right End can be measured.

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

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

​GoCenter Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support Formula

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

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

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

Other Formulas to find Deflection of Beam

Other formulas in Simply Supported Beam category

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

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

Variable Name

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

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