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Deflection for Solid Rectangle when Load in Middle Formula

GoDeflection for Solid Rectangle when Load is Distributed Formula

GoDeflection for Hollow Rectangle given Load in Middle 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}}{32 \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 Solid Rectangle when Load in Middle Example

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

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

Here is how the Deflection for Solid Rectangle when Load in Middle equation looks like.

52130.9249 = \frac{1.25 \cdot {10.02}^{3}}{32 \cdot 13 \cdot {10.01}^{2}}

52130.9249in = \frac{1.25kN \cdot {10.02ft}^{3}}{32 \cdot 13m² \cdot {10.01in}^{2}}

52130.9249 = \frac{1.25 \cdot {10.02}^{3}}{32 \cdot 13 \cdot {10.01}^{2}}

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Deflection for Solid Rectangle when Load in Middle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δ = \frac{1.25kN \cdot {10.02ft}^{3}}{32 \cdot 13m² \cdot {10.01in}^{2}}

Next Step Convert Units

∴

δ = \frac{1250N \cdot {3.0541m}^{3}}{32 \cdot 13m² \cdot {0.2543m}^{2}}

Next Step Prepare to Evaluate

∴

δ = \frac{1250 \cdot {3.0541}^{3}}{32 \cdot 13 \cdot {0.2543}^{2}}

Next Step Evaluate

∴

δ = 1324.12549236893m

Next Step Convert to Output's Unit

∴

δ = 52130.924896206in

LAST Step Rounding Answer

∴

δ = 52130.9249in

Deflection for Solid Rectangle 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.

Formulas to find Deflection of Beam

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.

Formulas to find Greatest Safe Point 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 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})}

Go Deflection for Solid Cylinder when Load in Middle

δ = \frac{Wp \cdot {L c}^{3}}{24 \cdot A cs \cdot {d b}^{2}}

How to Evaluate Deflection for Solid Rectangle when Load in Middle?

Deflection for Solid Rectangle when Load in Middle evaluator uses Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*Cross Sectional Area of Beam*Depth of Beam^2) to evaluate the Deflection of Beam, The Deflection for Solid Rectangle when Load in Middle is defined as the middle is the vertical displacement or bending that occurs due to the applied force. Deflection of Beam is denoted by δ symbol.

How to evaluate Deflection for Solid Rectangle when Load in Middle using this online evaluator? To use this online evaluator for Deflection for Solid Rectangle 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 Solid Rectangle when Load in Middle

What is the formula to find Deflection for Solid Rectangle when Load in Middle?

The formula of Deflection for Solid Rectangle when Load in Middle is expressed as Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*Cross Sectional Area of Beam*Depth of Beam^2). Here is an example- 2.1E+6 = (1250*3.05409600001222^3)/(32*13*0.254254000001017^2).

How to calculate Deflection for Solid Rectangle 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 Solid Rectangle when Load in Middle using the formula - Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*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 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)))
Deflection of Beam=Greatest Safe Distributed Load*(Length of Beam^3)/(52*(Cross Sectional Area of Beam*Depth of Beam^-Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2))

Can the Deflection for Solid Rectangle when Load in Middle be negative?

No, the Deflection for Solid Rectangle when Load in Middle, measured in Length cannot be negative.

Which unit is used to measure Deflection for Solid Rectangle when Load in Middle?

Deflection for Solid Rectangle 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 Solid Rectangle when Load in Middle can be measured.

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Deflection for Solid Rectangle when Load in Middle Formula

​GoDeflection for Solid Rectangle when Load is Distributed Formula

​GoDeflection for Hollow Rectangle given Load in Middle Formula

Deflection for Solid Rectangle when Load in Middle Example

Deflection for Solid Rectangle when Load in Middle Solution

Deflection for Solid Rectangle when Load in Middle Formula Elements

Other Formulas to find Deflection of Beam

How to Evaluate Deflection for Solid Rectangle when Load in Middle?

FAQs on Deflection for Solid Rectangle when Load in Middle

Variable Name

GoDeflection for Solid Rectangle when Load is Distributed Formula

GoDeflection for Hollow Rectangle given Load in Middle Formula