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Static Deflection for Fixed Beam with Central Point 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{w c \cdot {L fix}^{3}}{192 \cdot E \cdot I}

δ - Static Deflection?w_c - Central Point Load?L_fix - Length of Fixed Beam?E - Young's Modulus?I - Moment of Inertia of Beam?

Static Deflection for Fixed Beam with Central Point Load Example

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Here is how the Static Deflection for Fixed Beam with Central Point Load equation looks like with Values.

Here is how the Static Deflection for Fixed Beam with Central Point Load equation looks like with Units.

Here is how the Static Deflection for Fixed Beam with Central Point Load equation looks like.

0.0708 = \frac{2.5 \cdot {7.88}^{3}}{192 \cdot 15 \cdot 6}

0.0708m = \frac{2.5kg \cdot {7.88m}^{3}}{192 \cdot 15N/m \cdot 6m⁴/m}

0.0708 = \frac{2.5 \cdot {7.88}^{3}}{192 \cdot 15 \cdot 6}

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Static Deflection for Fixed Beam with Central Point Load Solution

Follow our step by step solution on how to calculate Static Deflection for Fixed Beam with Central Point Load?

FIRST Step Consider the formula

δ = \frac{w c \cdot {L fix}^{3}}{192 \cdot E \cdot I}

Next Step Substitute values of Variables

∴

δ = \frac{2.5kg \cdot {7.88m}^{3}}{192 \cdot 15N/m \cdot 6m⁴/m}

Next Step Prepare to Evaluate

∴

δ = \frac{2.5 \cdot {7.88}^{3}}{192 \cdot 15 \cdot 6}

Next Step Evaluate

∴

δ = 0.0707904907407407m

LAST Step Rounding Answer

∴

δ = 0.0708m

Static Deflection for Fixed Beam with Central Point 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

Central Point Load

Central point load is the deflection of a beam under a point load applied at the center of the beam, affecting its structural integrity.

Symbol: w_c

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Central Point Load

Length of Fixed Beam

Length of Fixed Beam is the maximum deflection of a fixed beam under various load conditions, providing insight into beam's stress and deformation behavior.

Symbol: L_fix

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Fixed 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

Moment of Inertia of Beam

Moment of Inertia of Beam is a measure of the beam's resistance to bending under various load conditions, providing insight into its structural behavior.

Symbol: I

Measurement: Moment of Inertia per Unit LengthUnit: m⁴/m

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Beam

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 Fixed Beam with Central Point Load?

Static Deflection for Fixed Beam with Central Point Load evaluator uses Static Deflection = (Central Point Load*Length of Fixed Beam^3)/(192*Young's Modulus*Moment of Inertia of Beam) to evaluate the Static Deflection, Static Deflection for Fixed Beam with Central Point Load formula is defined as a measure of the maximum displacement of a fixed beam under a central point load, providing insight into the beam's ability to withstand external forces and maintain its structural integrity. Static Deflection is denoted by δ symbol.

How to evaluate Static Deflection for Fixed Beam with Central Point Load using this online evaluator? To use this online evaluator for Static Deflection for Fixed Beam with Central Point Load, enter Central Point Load (w_c), Length of Fixed Beam (L_fix), Young's Modulus (E) & Moment of Inertia of Beam (I) and hit the calculate button.

FAQs on Static Deflection for Fixed Beam with Central Point Load

What is the formula to find Static Deflection for Fixed Beam with Central Point Load?

The formula of Static Deflection for Fixed Beam with Central Point Load is expressed as Static Deflection = (Central Point Load*Length of Fixed Beam^3)/(192*Young's Modulus*Moment of Inertia of Beam). Here is an example- 0.072147 = (2.5*7.88^3)/(192*15*6).

How to calculate Static Deflection for Fixed Beam with Central Point Load?

With Central Point Load (w_c), Length of Fixed Beam (L_fix), Young's Modulus (E) & Moment of Inertia of Beam (I) we can find Static Deflection for Fixed Beam with Central Point Load using the formula - Static Deflection = (Central Point Load*Length of Fixed Beam^3)/(192*Young's Modulus*Moment of Inertia of Beam).

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 Fixed Beam with Central Point Load be negative?

No, the Static Deflection for Fixed Beam with Central Point Load, measured in Length cannot be negative.

Which unit is used to measure Static Deflection for Fixed Beam with Central Point Load?

Static Deflection for Fixed Beam with Central Point 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 Fixed Beam with Central Point Load can be measured.

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Static Deflection for Fixed Beam with Central Point 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 Fixed Beam with Central Point Load Example

Static Deflection for Fixed Beam with Central Point Load Solution

Static Deflection for Fixed Beam with Central Point Load Formula Elements

Other Formulas to find Static Deflection

How to Evaluate Static Deflection for Fixed Beam with Central Point Load?

FAQs on Static Deflection for Fixed Beam with Central Point 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