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

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

GoDeflection at Any Point on Simply Supported carrying Couple Moment at Right End 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 = (0.00651 \cdot \frac{q \cdot (l^{4})}{E \cdot I})

δ - Deflection of Beam?q - Uniformly Varying Load?l - Length of Beam?E - Elasticity Modulus of Concrete?I - Area Moment of Inertia?

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

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Here is how the Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support equation looks like with Values.

Here is how the Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support equation looks like with Units.

Here is how the Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support equation looks like.

3.1787 = (0.00651 \cdot \frac{37.5 \cdot (5000^{4})}{30000 \cdot 0.0016})

3.1787mm = (0.00651 \cdot \frac{37.5kN/m \cdot ({5000mm}^{4})}{30000MPa \cdot 0.0016m⁴})

3.1787 = (0.00651 \cdot \frac{37.5 \cdot (5000^{4})}{30000 \cdot 0.0016})

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Strength of Materials » fx Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support

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

Follow our step by step solution on how to calculate Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δ = (0.00651 \cdot \frac{37.5kN/m \cdot ({5000mm}^{4})}{30000MPa \cdot 0.0016m⁴})

Next Step Convert Units

∴

δ = (0.00651 \cdot \frac{37500N/m \cdot ({5m}^{4})}{3E+10Pa \cdot 0.0016m⁴})

Next Step Prepare to Evaluate

∴

δ = (0.00651 \cdot \frac{37500 \cdot (5^{4})}{3E+10 \cdot 0.0016})

Next Step Evaluate

∴

δ = 0.0031787109375m

Next Step Convert to Output's Unit

∴

δ = 3.1787109375mm

LAST Step Rounding Answer

∴

δ = 3.1787mm

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

Uniformly Varying Load

Uniformly varying load is the load whose magnitude varies uniformly along the length of the structure.

Symbol: q

Measurement: Surface TensionUnit: kN/m

Note: Value can be positive or negative.

Formulas to find Uniformly Varying Load

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

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

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

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

Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support evaluator uses Deflection of Beam = (0.00651*(Uniformly Varying Load*(Length of Beam^4))/(Elasticity Modulus of Concrete*Area Moment of Inertia)) to evaluate the Deflection of Beam, The Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support is defined as as displacement, which can occur from externally applied loads i.e., uniformly varying load in this case. Deflection of Beam is denoted by δ symbol.

How to evaluate Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support using this online evaluator? To use this online evaluator for Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support, enter Uniformly Varying Load (q), Length of Beam (l), Elasticity Modulus of Concrete (E) & Area Moment of Inertia (I) and hit the calculate button.

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

What is the formula to find Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support?

The formula of Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support is expressed as Deflection of Beam = (0.00651*(Uniformly Varying Load*(Length of Beam^4))/(Elasticity Modulus of Concrete*Area Moment of Inertia)). Here is an example- 3178.711 = (0.00651*(37500*(5^4))/(30000000000*0.0016)).

How to calculate Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support?

With Uniformly Varying Load (q), Length of Beam (l), Elasticity Modulus of Concrete (E) & Area Moment of Inertia (I) we can find Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support using the formula - Deflection of Beam = (0.00651*(Uniformly Varying Load*(Length of Beam^4))/(Elasticity Modulus of Concrete*Area Moment of Inertia)).

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=(((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))))

Can the Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support be negative?

No, the Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support, measured in Length cannot be negative.

Which unit is used to measure Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support?

Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support can be measured.

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

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

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

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

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

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

Other Formulas to find Deflection of Beam

Other formulas in Simply Supported Beam category

How to Evaluate Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support?

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

Variable Name

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

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