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Deflection for I Beam when Load in Middle Formula

2

GoDeflection for Solid Rectangle when Load in Middle Formula

3

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{Wp \cdot (L^{3})}{58 \cdot A cs \cdot ({d b}^{2})}

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

Deflection for I Beam when Load in Middle Example

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With units

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Here is how the Deflection for I Beam when Load in Middle equation looks like with Values.

Here is how the Deflection for I Beam when Load in Middle equation looks like with Units.

Here is how the Deflection for I Beam when Load in Middle equation looks like.

28761.8896 = \frac{1.25 \cdot ({10.02}^{3})}{58 \cdot 13 \cdot ({10.01}^{2})}

28761.8896in = \frac{1.25kN \cdot ({10.02ft}^{3})}{58 \cdot 13m² \cdot ({10.01in}^{2})}

28761.8896 = \frac{1.25 \cdot ({10.02}^{3})}{58 \cdot 13 \cdot ({10.01}^{2})}

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Deflection for I Beam when Load in Middle Solution

Follow our step by step solution on how to calculate Deflection for I Beam when Load in Middle?

FIRST Step Consider the formula

δ = \frac{Wp \cdot (L^{3})}{58 \cdot A cs \cdot ({d b}^{2})}

Next Step Substitute values of Variables

∴

δ = \frac{1.25kN \cdot ({10.02ft}^{3})}{58 \cdot 13m² \cdot ({10.01in}^{2})}

Next Step Convert Units

∴

δ = \frac{1250N \cdot ({3.0541m}^{3})}{58 \cdot 13m² \cdot ({0.2543m}^{2})}

Next Step Prepare to Evaluate

∴

δ = \frac{1250 \cdot ({3.0541}^{3})}{58 \cdot 13 \cdot ({0.2543}^{2})}

Next Step Evaluate

∴

δ = 730.551995789753m

Next Step Convert to Output's Unit

∴

δ = 28761.8895979067in

LAST Step Rounding Answer

∴

δ = 28761.8896in

Deflection for I Beam when Load in Middle 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.

Greatest Safe Point Load

The Greatest Safe Point Load refers to the maximum weight or force that can be applied to a structure without causing failure or damage, ensuring structural integrity and safety.

Symbol: Wp

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

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.

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.

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.

Credits

Creator Image

Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has created this Formula and 100+ more formulas!

Verifier Image

Verified by Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has verified this Formula and 50+ more formulas!

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})}

See More

How to Evaluate Deflection for I Beam when Load in Middle?

Deflection for I Beam when Load in Middle evaluator uses Deflection of Beam = (Greatest Safe Point Load*(Length of Beam^3))/(58*Cross Sectional Area of Beam*(Depth of Beam^2)) to evaluate the Deflection of Beam, The Deflection for I Beam when Load in Middle formula is defined as the vertical displacement or bending experienced by the beam under the load. Deflection of Beam is denoted by δ symbol.

How to evaluate Deflection for I Beam when Load in Middle using this online evaluator? To use this online evaluator for Deflection for I Beam when Load in Middle, enter Greatest Safe Point Load (Wp), 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 I Beam when Load in Middle

What is the formula to find Deflection for I Beam when Load in Middle?

The formula of Deflection for I Beam when Load in Middle is expressed as Deflection of Beam = (Greatest Safe Point Load*(Length of Beam^3))/(58*Cross Sectional Area of Beam*(Depth of Beam^2)). Here is an example- 1.1E+6 = (1250*(3.05409600001222^3))/(58*13*(0.254254000001017^2)).

How to calculate Deflection for I Beam when Load in Middle?

With Greatest Safe Point Load (Wp), Length of Beam (L), Cross Sectional Area of Beam (A_cs) & Depth of Beam (d_b) we can find Deflection for I Beam when Load in Middle using the formula - Deflection of Beam = (Greatest Safe Point Load*(Length of Beam^3))/(58*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 I Beam when Load in Middle be negative?

No, the Deflection for I Beam when Load in Middle, measured in Length cannot be negative.

Which unit is used to measure Deflection for I Beam when Load in Middle?

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

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