Length of Beam for Fixed Beam with Uniformly Distributed Load Calculator

✖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.ⓘ Young's Modulus [E]			+10% -10%
✖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.ⓘ Moment of Inertia of Beam [I]			+10% -10%
✖Static Deflection is the maximum displacement of a beam from its original position under various load conditions, providing values for different types of beams.ⓘ Static Deflection [δ]			+10% -10%
✖Load in Fixed Beam is the value of length of beam for various types of beams and under different load conditions, providing essential information for structural analysis.ⓘ Load in Fixed Beam [w_FB]			+10% -10%

✖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.ⓘ Length of Beam for Fixed Beam with Uniformly Distributed Load [L_FB]

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Length of Beam for Fixed Beam with Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Fixed Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Fixed Beam))^(1/4)
L_FB = ((384*E*I*δ)/(w_FB))^(1/4)
This formula uses 5 Variables

Variables Used

Length of Fixed Beam - (Measured in Meter) - 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.
Young's Modulus - (Measured in Newton per Meter) - 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.
Moment of Inertia of Beam - (Measured in Meter⁴ per Meter) - 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.
Static Deflection - (Measured in Meter) - Static Deflection is the maximum displacement of a beam from its original position under various load conditions, providing values for different types of beams.
Load in Fixed Beam - Load in Fixed Beam is the value of length of beam for various types of beams and under different load conditions, providing essential information for structural analysis.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required
Moment of Inertia of Beam: 6 Meter⁴ per Meter --> 6 Meter⁴ per Meter No Conversion Required
Static Deflection: 0.072 Meter --> 0.072 Meter No Conversion Required
Load in Fixed Beam: 2.12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_FB = ((384*E*I*δ)/(w_FB))^(1/4) --> ((384*15*6*0.072)/(2.12))^(1/4)

Evaluating ... ...

L_FB = 5.85318960080944

STEP 3: Convert Result to Output's Unit

5.85318960080944 Meter --> No Conversion Required

FINAL ANSWER

5.85318960080944 ≈ 5.85319 Meter <-- Length of Fixed Beam

(Calculation completed in 00.020 seconds)

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< Values of length of beam for the various types of beams and under various load conditions Calculators

Length of Fixed Beam with Eccentric Point Load

LaTeX Go 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)

Length of Beam for Simply Supported Beam with Uniformly Distributed Load

LaTeX Go Length of Simply Supported Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(5*Load in Simply Supported Beam))^(1/4)

Length of Beam for Fixed Beam with Uniformly Distributed Load

LaTeX Go Length of Fixed Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Fixed Beam))^(1/4)

Length of Beam for Fixed Beam with Central Point Load

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

Length of Beam for Fixed Beam with Uniformly Distributed Load Formula

LaTeX Go

Length of Fixed Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Fixed Beam))^(1/4)
L_FB = ((384*E*I*δ)/(w_FB))^(1/4)

What is Uniformly Distributed Load?

A uniformly distributed load (UDL) is a type of load that is spread evenly across the entire length of a structural element, such as a beam. This means that every unit of length along the beam experiences the same load intensity. UDLs are commonly used to model loads like the weight of floors, roofs, or other evenly spread materials. By distributing the load evenly, it ensures more balanced stress and deflection, helping to maintain the structural integrity and stability of beams or other elements.

How to Calculate Length of Beam for Fixed Beam with Uniformly Distributed Load?

Length of Beam for Fixed Beam with Uniformly Distributed Load calculator uses Length of Fixed Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Fixed Beam))^(1/4) to calculate the Length of Fixed Beam, The Length of beam for fixed beam with uniformly distributed load formula is simply the total length of the member. Length of Fixed Beam is denoted by L_FB symbol.

How to calculate Length of Beam for Fixed Beam with Uniformly Distributed Load using this online calculator? To use this online calculator for Length of Beam for Fixed Beam with Uniformly Distributed Load, enter Young's Modulus (E), Moment of Inertia of Beam (I), Static Deflection (δ) & Load in Fixed Beam (w_FB) and hit the calculate button. Here is how the Length of Beam for Fixed Beam with Uniformly Distributed Load calculation can be explained with given input values -> 5.860112 = ((384*15*6*0.072)/(2.12))^(1/4).

FAQ

What is Length of Beam for Fixed Beam with Uniformly Distributed Load?

The Length of beam for fixed beam with uniformly distributed load formula is simply the total length of the member and is represented as L_FB = ((384*E*I*δ)/(w_FB))^(1/4) or Length of Fixed Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Fixed Beam))^(1/4). 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, 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, Static Deflection is the maximum displacement of a beam from its original position under various load conditions, providing values for different types of beams & Load in Fixed Beam is the value of length of beam for various types of beams and under different load conditions, providing essential information for structural analysis.

How to calculate Length of Beam for Fixed Beam with Uniformly Distributed Load?

The Length of beam for fixed beam with uniformly distributed load formula is simply the total length of the member is calculated using Length of Fixed Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Fixed Beam))^(1/4). To calculate Length of Beam for Fixed Beam with Uniformly Distributed Load, you need Young's Modulus (E), Moment of Inertia of Beam (I), Static Deflection (δ) & Load in Fixed Beam (w_FB). With our tool, you need to enter the respective value for Young's Modulus, Moment of Inertia of Beam, Static Deflection & Load in Fixed Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Fixed Beam?

In this formula, Length of Fixed Beam uses Young's Modulus, Moment of Inertia of Beam, Static Deflection & Load in Fixed Beam. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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