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Length of Fixed Beam with Eccentric Point Load Formula

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GoLength of Beam for Fixed Beam with Uniformly Distributed Load Formula

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GoLength of Beam for Fixed Beam with Central Point Load Formula

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Length of Fixed Beam is the distance of a fixed beam under various load conditions, used to determine the beam's stability and structural integrity. Check FAQs

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

L_FB - Length of Fixed Beam?w_e - Eccentric Point Load for Fixed Beam?a - Distance of Load from One End?b - Distance of Load from Other End?E - Young's Modulus?I - Moment of Inertia of Beam?δ - Static Deflection?

Length of Fixed Beam with Eccentric Point Load Example

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Here is how the Length of Fixed Beam with Eccentric Point Load equation looks like with Values.

Here is how the Length of Fixed Beam with Eccentric Point Load equation looks like with Units.

Here is how the Length of Fixed Beam with Eccentric Point Load equation looks like.

5.8539 = \frac{0.648 \cdot 4^{3} \cdot {1.4}^{3}}{3 \cdot 15 \cdot 6 \cdot 0.072}

5.8539m = \frac{0.648kg \cdot {4m}^{3} \cdot {1.4m}^{3}}{3 \cdot 15N/m \cdot 6m⁴/m \cdot 0.072m}

5.8539 = \frac{0.648 \cdot 4^{3} \cdot {1.4}^{3}}{3 \cdot 15 \cdot 6 \cdot 0.072}

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Length of Fixed Beam with Eccentric Point Load Solution

Follow our step by step solution on how to calculate Length of Fixed Beam with Eccentric Point Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L FB = \frac{0.648kg \cdot {4m}^{3} \cdot {1.4m}^{3}}{3 \cdot 15N/m \cdot 6m⁴/m \cdot 0.072m}

Next Step Prepare to Evaluate

∴

L FB = \frac{0.648 \cdot 4^{3} \cdot {1.4}^{3}}{3 \cdot 15 \cdot 6 \cdot 0.072}

Next Step Evaluate

∴

L FB = 5.85386666666667m

LAST Step Rounding Answer

∴

L FB = 5.8539m

Length of Fixed Beam with Eccentric Point Load Formula Elements

Variables

Length of Fixed Beam

Length of Fixed Beam is the distance of a fixed beam under various load conditions, used to determine the beam's stability and structural integrity.

Symbol: L_FB

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Eccentric Point Load for Fixed Beam

Eccentric Point Load for Fixed Beam is the length of a beam under eccentric point load, varying with beam type and load conditions.

Symbol: w_e

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Distance of Load from One End

Distance of Load from One End is the length of a beam measured from one end, considering various types of beams and load conditions.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Distance of Load from Other End

Distance of Load from Other End is the length of a beam measured from the point of load application to the other end of the beam under various load conditions.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Young's Modulus

Young's Modulus is a measure of the stiffness of a solid material, used to calculate the length of a beam under various load conditions and beam types.

Symbol: E

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Moment of Inertia of Beam

Moment of Inertia of Beam is a measure of the beam's resistance to bending under various load conditions, depending on its length and type.

Symbol: I

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

Note: Value should be greater than 0.

Static Deflection

Static Deflection is the maximum displacement of a beam from its original position under various load conditions, providing values for different types of beams.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Credits

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Formula and 2000+ more formulas!

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Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has verified this Formula and 400+ more formulas!

Other Formulas to find Length of Fixed Beam

Go Length of Beam for Fixed Beam with Uniformly Distributed Load

L FB = {(\frac{384 \cdot E \cdot I \cdot δ}{w FB})}^{\frac{1}{4}}

Go Length of Beam for Fixed Beam with Central Point Load

L FB = {(\frac{192 \cdot E \cdot I \cdot δ}{w c})}^{\frac{1}{3}}

Other formulas in Values of length of beam for the various types of beams and under various load conditions category

Go Length of Beam for Simply Supported Beam with Uniformly Distributed Load

L SSB = {(\frac{384 \cdot E \cdot I \cdot δ}{5 \cdot w SSB})}^{\frac{1}{4}}

Go Length of Beam for Simply Supported Beam with Central Point Load

L SSB = {(\frac{48 \cdot E \cdot I \cdot δ}{w c})}^{\frac{1}{3}}

See More

How to Evaluate Length of Fixed Beam with Eccentric Point Load?

Length of Fixed Beam with Eccentric Point Load evaluator uses Length of Fixed Beam = (Eccentric Point Load for Fixed Beam*Distance of Load from One End^3*Distance of Load from Other End^3)/(3*Young's Modulus*Moment of Inertia of Beam*Static Deflection) to evaluate the Length of Fixed Beam, The Length of Fixed Beam with Eccentric Point Load formula is simply the total length of the member. Length of Fixed Beam is denoted by L_FB symbol.

How to evaluate Length of Fixed Beam with Eccentric Point Load using this online evaluator? To use this online evaluator for Length of Fixed Beam with Eccentric Point Load, enter Eccentric Point Load for Fixed Beam (w_e), Distance of Load from One End (a), Distance of Load from Other End (b), Young's Modulus (E), Moment of Inertia of Beam (I) & Static Deflection (δ) and hit the calculate button.

FAQs on Length of Fixed Beam with Eccentric Point Load

What is the formula to find Length of Fixed Beam with Eccentric Point Load?

The formula of Length of Fixed Beam with Eccentric Point Load is expressed as Length of Fixed Beam = (Eccentric Point Load for Fixed Beam*Distance of Load from One End^3*Distance of Load from Other End^3)/(3*Young's Modulus*Moment of Inertia of Beam*Static Deflection). Here is an example- 5.8629 = (0.648*4^3*1.4^3)/(3*15*6*0.072).

How to calculate Length of Fixed Beam with Eccentric Point Load?

With Eccentric Point Load for Fixed Beam (w_e), Distance of Load from One End (a), Distance of Load from Other End (b), Young's Modulus (E), Moment of Inertia of Beam (I) & Static Deflection (δ) we can find Length of Fixed Beam with Eccentric Point Load using the formula - Length of Fixed Beam = (Eccentric Point Load for Fixed Beam*Distance of Load from One End^3*Distance of Load from Other End^3)/(3*Young's Modulus*Moment of Inertia of Beam*Static Deflection).

What are the other ways to Calculate Length of Fixed Beam?

Here are the different ways to Calculate Length of Fixed Beam-

Length of Fixed Beam=((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Fixed Beam))^(1/4)
Length of Fixed Beam=((192*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Central Point Load))^(1/3)

Can the Length of Fixed Beam with Eccentric Point Load be negative?

No, the Length of Fixed Beam with Eccentric Point Load, measured in Length cannot be negative.

Which unit is used to measure Length of Fixed Beam with Eccentric Point Load?

Length of Fixed Beam with Eccentric Point Load is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Fixed Beam with Eccentric Point Load can be measured.

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