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Deflection for Deck Beam when Load is Distributed Formula

GoDeflection for Solid Rectangle when Load in Middle Formula

GoDeflection for Solid Rectangle when Load is Distributed Formula

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Deflection of Beam is the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance. Check FAQs

δ = \frac{W d \cdot (L^{3})}{80 \cdot A cs \cdot ({d b}^{2})}

δ - Deflection of Beam?W_d - Greatest Safe Distributed Load?L - Length of Beam?A_cs - Cross Sectional Area of Beam?d_b - Depth of Beam?

Deflection for Deck Beam when Load is Distributed Example

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Here is how the Deflection for Deck Beam when Load is Distributed equation looks like with Values.

Here is how the Deflection for Deck Beam when Load is Distributed equation looks like with Units.

Here is how the Deflection for Deck Beam when Load is Distributed equation looks like.

16682.0628 = \frac{1 \cdot ({10.02}^{3})}{80 \cdot 13 \cdot ({10.01}^{2})}

16682.0628in = \frac{1kN \cdot ({10.02ft}^{3})}{80 \cdot 13m² \cdot ({10.01in}^{2})}

16682.0628 = \frac{1 \cdot ({10.02}^{3})}{80 \cdot 13 \cdot ({10.01}^{2})}

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Deflection for Deck Beam when Load is Distributed Solution

Follow our step by step solution on how to calculate Deflection for Deck Beam when Load is Distributed?

FIRST Step Consider the formula

δ = \frac{W d \cdot (L^{3})}{80 \cdot A cs \cdot ({d b}^{2})}

Next Step Substitute values of Variables

∴

δ = \frac{1kN \cdot ({10.02ft}^{3})}{80 \cdot 13m² \cdot ({10.01in}^{2})}

Next Step Convert Units

∴

δ = \frac{1000.01N \cdot ({3.0541m}^{3})}{80 \cdot 13m² \cdot ({0.2543m}^{2})}

Next Step Prepare to Evaluate

∴

δ = \frac{1000.01 \cdot ({3.0541}^{3})}{80 \cdot 13 \cdot ({0.2543}^{2})}

Next Step Evaluate

∴

δ = 423.724394759633m

Next Step Convert to Output's Unit

∴

δ = 16682.0627857456in

LAST Step Rounding Answer

∴

δ = 16682.0628in

Deflection for Deck Beam when Load is Distributed Formula Elements

Variables

Deflection of Beam

Deflection of Beam is the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance.

Symbol: δ

Measurement: LengthUnit: in

Note: Value should be greater than 0.

Formulas to find Deflection of Beam

Greatest Safe Distributed Load

Greatest Safe Distributed Load is that load which acts over a considerable length or over a length which is measurable. Distributed load is measured as per unit length.

Symbol: W_d

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Greatest Safe Distributed Load

Length of Beam

Length of Beam is the center to center distance between the supports or the effective length of the beam.

Symbol: L

Measurement: LengthUnit: ft

Note: Value should be greater than 0.

Formulas to find Length of Beam

Cross Sectional Area of Beam

Cross Sectional Area of Beam the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Beam

Depth of Beam

Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

Symbol: d_b

Measurement: LengthUnit: in

Note: Value should be greater than 0.

Formulas to find Depth of Beam

Other Formulas to find Deflection of Beam

Go Deflection for Solid Rectangle when Load in Middle

δ = \frac{Wp \cdot L^{3}}{32 \cdot A cs \cdot {d b}^{2}}

Go Deflection for Solid Rectangle when Load is Distributed

δ = \frac{W d \cdot L^{3}}{52 \cdot A cs \cdot {d b}^{2}}

Go Deflection for Hollow Rectangle given Load in Middle

δ = \frac{Wp \cdot L^{3}}{32 \cdot ((A cs \cdot {d b}^{2}) - (a \cdot d^{2}))}

Go Deflection for Hollow Rectangle when Load is Distributed

δ = W d \cdot \frac{L^{3}}{52 \cdot (A cs \cdot {d b}^{- a} \cdot d^{2})}

How to Evaluate Deflection for Deck Beam when Load is Distributed?

Deflection for Deck Beam when Load is Distributed evaluator uses Deflection of Beam = (Greatest Safe Distributed Load*(Length of Beam^3))/(80*Cross Sectional Area of Beam*(Depth of Beam^2)) to evaluate the Deflection of Beam, The Deflection for Deck Beam when Load is Distributed formula is defines the amount of bending or sag experienced by the beam due to the load spread across its length. Deflection of Beam is denoted by δ symbol.

How to evaluate Deflection for Deck Beam when Load is Distributed using this online evaluator? To use this online evaluator for Deflection for Deck Beam when Load is Distributed, enter Greatest Safe Distributed Load (W_d), Length of Beam (L), Cross Sectional Area of Beam (A_cs) & Depth of Beam (d_b) and hit the calculate button.

FAQs on Deflection for Deck Beam when Load is Distributed

What is the formula to find Deflection for Deck Beam when Load is Distributed?

The formula of Deflection for Deck Beam when Load is Distributed is expressed as Deflection of Beam = (Greatest Safe Distributed Load*(Length of Beam^3))/(80*Cross Sectional Area of Beam*(Depth of Beam^2)). Here is an example- 656774.1 = (1000.01*(3.05409600001222^3))/(80*13*(0.254254000001017^2)).

How to calculate Deflection for Deck Beam when Load is Distributed?

With Greatest Safe Distributed Load (W_d), Length of Beam (L), Cross Sectional Area of Beam (A_cs) & Depth of Beam (d_b) we can find Deflection for Deck Beam when Load is Distributed using the formula - Deflection of Beam = (Greatest Safe Distributed Load*(Length of Beam^3))/(80*Cross Sectional Area of Beam*(Depth 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=(Greatest Safe Point Load*Length of Beam^3)/(32*Cross Sectional Area of Beam*Depth of Beam^2)
Deflection of Beam=(Greatest Safe Distributed Load*Length of Beam^3)/(52*Cross Sectional Area of Beam*Depth of Beam^2)
Deflection of Beam=(Greatest Safe Point Load*Length of Beam^3)/(32*((Cross Sectional Area of Beam*Depth of Beam^2)-(Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2)))

Can the Deflection for Deck Beam when Load is Distributed be negative?

No, the Deflection for Deck Beam when Load is Distributed, measured in Length cannot be negative.

Which unit is used to measure Deflection for Deck Beam when Load is Distributed?

Deflection for Deck Beam when Load is Distributed is usually measured using the Inch[in] for Length. Meter[in], Millimeter[in], Kilometer[in] are the few other units in which Deflection for Deck Beam when Load is Distributed can be measured.

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Deflection for Deck Beam when Load is Distributed Formula

​GoDeflection for Solid Rectangle when Load in Middle Formula

​GoDeflection for Solid Rectangle when Load is Distributed Formula

Deflection for Deck Beam when Load is Distributed Example

Deflection for Deck Beam when Load is Distributed Solution

Deflection for Deck Beam when Load is Distributed Formula Elements

Other Formulas to find Deflection of Beam

How to Evaluate Deflection for Deck Beam when Load is Distributed?

FAQs on Deflection for Deck Beam when Load is Distributed

Variable Name

GoDeflection for Solid Rectangle when Load in Middle Formula

GoDeflection for Solid Rectangle when Load is Distributed Formula