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Static Deflection for Simply Supported Beam with Uniformly Distributed Load Formula

GoStatic Deflection for Cantilever Beam with Point Load at Free End Formula

GoStatic Deflection for Cantilever Beam with Uniformly Distributed Load Formula

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Static Deflection is the maximum displacement of a beam from its original position under various load conditions and types of beams. Check FAQs

δ = \frac{5 \cdot w \cdot {L SS}^{4}}{384 \cdot E \cdot J}

δ - Static Deflection?w - Load per unit Length?L_SS - Length of Simply Supported Beam?E - Young's Modulus?J - Polar Moment of Inertia?

Static Deflection for Simply Supported Beam with Uniformly Distributed Load Example

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Here is how the Static Deflection for Simply Supported Beam with Uniformly Distributed Load equation looks like with Values.

Here is how the Static Deflection for Simply Supported Beam with Uniformly Distributed Load equation looks like with Units.

Here is how the Static Deflection for Simply Supported Beam with Uniformly Distributed Load equation looks like.

0.0706 = \frac{5 \cdot 0.81 \cdot {2.6}^{4}}{384 \cdot 15 \cdot 0.455}

0.0706m = \frac{5 \cdot 0.81 \cdot {2.6m}^{4}}{384 \cdot 15N/m \cdot 0.455m⁴}

0.0706 = \frac{5 \cdot 0.81 \cdot {2.6}^{4}}{384 \cdot 15 \cdot 0.455}

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Static Deflection for Simply Supported Beam with Uniformly Distributed Load Solution

Follow our step by step solution on how to calculate Static Deflection for Simply Supported Beam with Uniformly Distributed Load?

FIRST Step Consider the formula

δ = \frac{5 \cdot w \cdot {L SS}^{4}}{384 \cdot E \cdot J}

Next Step Substitute values of Variables

∴

δ = \frac{5 \cdot 0.81 \cdot {2.6m}^{4}}{384 \cdot 15N/m \cdot 0.455m⁴}

Next Step Prepare to Evaluate

∴

δ = \frac{5 \cdot 0.81 \cdot {2.6}^{4}}{384 \cdot 15 \cdot 0.455}

Next Step Evaluate

∴

δ = 0.0706178571428572m

LAST Step Rounding Answer

∴

δ = 0.0706m

Static Deflection for Simply Supported Beam with Uniformly Distributed Load Formula Elements

Variables

Static Deflection

Static Deflection is the maximum displacement of a beam from its original position under various load conditions and types of beams.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Static Deflection

Load per unit Length

Load per unit length is the amount of load applied per unit length of a beam, used to calculate static deflection under various load conditions.

Symbol: w

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Load per unit Length

Length of Simply Supported Beam

Length of Simply Supported Beam is the maximum downward displacement of a beam under various load conditions, providing insight into its structural integrity.

Symbol: L_SS

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Simply Supported Beam

Young's Modulus

Young's Modulus is a measure of the stiffness of a solid material and is used to calculate the static deflection of beams under various load conditions.

Symbol: E

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Polar Moment of Inertia

Polar Moment of Inertia is a measure of an object's resistance to torsion, used to calculate static deflection in beams under various load conditions.

Symbol: J

Measurement: Second Moment of AreaUnit: m⁴

Note: Value can be positive or negative.

Formulas to find Polar Moment of Inertia

Other Formulas to find Static Deflection

Go Static Deflection for Cantilever Beam with Point Load at Free End

δ = \frac{W attached \cdot {L cant}^{3}}{3 \cdot E \cdot I}

Go Static Deflection for Cantilever Beam with Uniformly Distributed Load

δ = \frac{w \cdot {L cant}^{4}}{8 \cdot E \cdot I}

Go Static Deflection for Simply Supported Beam with Central Point Load

δ = \frac{w c \cdot {L SS}^{3}}{48 \cdot E \cdot I}

Go Static Deflection for Simply Supported Beam with Eccentric Point Load

δ = \frac{w e \cdot a^{2} \cdot b^{2}}{3 \cdot E \cdot I \cdot L SS}

How to Evaluate Static Deflection for Simply Supported Beam with Uniformly Distributed Load?

Static Deflection for Simply Supported Beam with Uniformly Distributed Load evaluator uses Static Deflection = (5*Load per unit Length*Length of Simply Supported Beam^4)/(384*Young's Modulus*Polar Moment of Inertia) to evaluate the Static Deflection, Static Deflection for Simply Supported Beam with Uniformly Distributed Load formula is defined as a measure of the maximum displacement of a simply supported beam under a uniformly distributed load, providing insight into the beam's structural integrity and ability to withstand external forces. Static Deflection is denoted by δ symbol.

How to evaluate Static Deflection for Simply Supported Beam with Uniformly Distributed Load using this online evaluator? To use this online evaluator for Static Deflection for Simply Supported Beam with Uniformly Distributed Load, enter Load per unit Length (w), Length of Simply Supported Beam (L_SS), Young's Modulus (E) & Polar Moment of Inertia (J) and hit the calculate button.

FAQs on Static Deflection for Simply Supported Beam with Uniformly Distributed Load

What is the formula to find Static Deflection for Simply Supported Beam with Uniformly Distributed Load?

The formula of Static Deflection for Simply Supported Beam with Uniformly Distributed Load is expressed as Static Deflection = (5*Load per unit Length*Length of Simply Supported Beam^4)/(384*Young's Modulus*Polar Moment of Inertia). Here is an example- 0.001397 = (5*0.81*2.6^4)/(384*15*0.455).

How to calculate Static Deflection for Simply Supported Beam with Uniformly Distributed Load?

With Load per unit Length (w), Length of Simply Supported Beam (L_SS), Young's Modulus (E) & Polar Moment of Inertia (J) we can find Static Deflection for Simply Supported Beam with Uniformly Distributed Load using the formula - Static Deflection = (5*Load per unit Length*Length of Simply Supported Beam^4)/(384*Young's Modulus*Polar Moment of Inertia).

What are the other ways to Calculate Static Deflection?

Here are the different ways to Calculate Static Deflection-

Static Deflection=(Load Attached to Free End of Constraint*Length of Cantilever Beam^3)/(3*Young's Modulus*Moment of Inertia of Beam)
Static Deflection=(Load per unit Length*Length of Cantilever Beam^4)/(8*Young's Modulus*Moment of Inertia of Beam)
Static Deflection=(Central Point Load*Length of Simply Supported Beam^3)/(48*Young's Modulus*Moment of Inertia of Beam)

Can the Static Deflection for Simply Supported Beam with Uniformly Distributed Load be negative?

No, the Static Deflection for Simply Supported Beam with Uniformly Distributed Load, measured in Length cannot be negative.

Which unit is used to measure Static Deflection for Simply Supported Beam with Uniformly Distributed Load?

Static Deflection for Simply Supported Beam with Uniformly Distributed Load is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Static Deflection for Simply Supported Beam with Uniformly Distributed Load can be measured.

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Static Deflection for Simply Supported Beam with Uniformly Distributed Load Formula

​GoStatic Deflection for Cantilever Beam with Point Load at Free End Formula

​GoStatic Deflection for Cantilever Beam with Uniformly Distributed Load Formula

Static Deflection for Simply Supported Beam with Uniformly Distributed Load Example

Static Deflection for Simply Supported Beam with Uniformly Distributed Load Solution

Static Deflection for Simply Supported Beam with Uniformly Distributed Load Formula Elements

Other Formulas to find Static Deflection

How to Evaluate Static Deflection for Simply Supported Beam with Uniformly Distributed Load?

FAQs on Static Deflection for Simply Supported Beam with Uniformly Distributed Load

Variable Name

GoStatic Deflection for Cantilever Beam with Point Load at Free End Formula

GoStatic Deflection for Cantilever Beam with Uniformly Distributed Load Formula