Length of Beam for Cantilever 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 Cantilever Beam is the value of length of beam for various types of beams and under various load conditions, providing critical structural information.ⓘ Load in Cantilever Beam [w_CB]			+10% -10%

✖Length of Cantilever Beam is the distance from the fixed end to the free end of a beam under various load conditions and beam types.ⓘ Length of Beam for Cantilever Beam with Uniformly Distributed Load [L_CB]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Longitudinal and Transverse Vibrations Formula PDF PDF Image

Length of Beam for Cantilever Beam with Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cantilever Beam = ((8*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Cantilever Beam))^(1/4)
L_CB = ((8*E*I*δ)/(w_CB))^(1/4)
This formula uses 5 Variables

Variables Used

Length of Cantilever Beam - (Measured in Meter) - Length of Cantilever Beam is the distance from the fixed end to the free end of a beam under various load conditions and beam types.
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 Cantilever Beam - Load in Cantilever Beam is the value of length of beam for various types of beams and under various load conditions, providing critical structural information.

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 Cantilever Beam: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_CB = ((8*E*I*δ)/(w_CB))^(1/4) --> ((8*15*6*0.072)/(0.8))^(1/4)

Evaluating ... ...

L_CB = 2.83722482700953

STEP 3: Convert Result to Output's Unit

2.83722482700953 Meter --> No Conversion Required

FINAL ANSWER

2.83722482700953 ≈ 2.837225 Meter <-- Length of Cantilever Beam

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Mechanical » Values of length of beam for the various types of beams and under various load conditions » Length of Beam for Cantilever Beam with Uniformly Distributed Load

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has verified this Calculator and 400+ more calculators!

< 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 Cantilever Beam with Uniformly Distributed Load Formula

LaTeX Go

Length of Cantilever Beam = ((8*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Cantilever Beam))^(1/4)
L_CB = ((8*E*I*δ)/(w_CB))^(1/4)

What is Column?

A column is a vertical structural element that primarily supports compressive loads. It transfers the weight from the structure above, such as floors or roofs, to the foundation or other supporting structures below. Columns are essential in maintaining the stability and strength of buildings, bridges, and other structures. They are typically designed to resist buckling and can be made of materials like steel, concrete, or wood, depending on the structural requirements. Columns are commonly used in frameworks to provide vertical support and distribute loads evenly.

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

Length of Beam for Cantilever Beam with Uniformly Distributed Load calculator uses Length of Cantilever Beam = ((8*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Cantilever Beam))^(1/4) to calculate the Length of Cantilever Beam, The Length of beam for cantilever beam with uniformly distributed load formula is simply the total length of the member. Length of Cantilever Beam is denoted by L_CB symbol.

How to calculate Length of Beam for Cantilever Beam with Uniformly Distributed Load using this online calculator? To use this online calculator for Length of Beam for Cantilever Beam with Uniformly Distributed Load, enter Young's Modulus (E), Moment of Inertia of Beam (I), Static Deflection (δ) & Load in Cantilever Beam (w_CB) and hit the calculate button. Here is how the Length of Beam for Cantilever Beam with Uniformly Distributed Load calculation can be explained with given input values -> 2.837225 = ((8*15*6*0.072)/(0.8))^(1/4).

FAQ

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

The Length of beam for cantilever beam with uniformly distributed load formula is simply the total length of the member and is represented as L_CB = ((8*E*I*δ)/(w_CB))^(1/4) or Length of Cantilever Beam = ((8*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Cantilever 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 Cantilever Beam is the value of length of beam for various types of beams and under various load conditions, providing critical structural information.

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

The Length of beam for cantilever beam with uniformly distributed load formula is simply the total length of the member is calculated using Length of Cantilever Beam = ((8*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Cantilever Beam))^(1/4). To calculate Length of Beam for Cantilever Beam with Uniformly Distributed Load, you need Young's Modulus (E), Moment of Inertia of Beam (I), Static Deflection (δ) & Load in Cantilever Beam (w_CB). With our tool, you need to enter the respective value for Young's Modulus, Moment of Inertia of Beam, Static Deflection & Load in Cantilever 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 Cantilever Beam?

In this formula, Length of Cantilever Beam uses Young's Modulus, Moment of Inertia of Beam, Static Deflection & Load in Cantilever Beam. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Cantilever Beam = ((3*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load Attached to Free End of Constraint))^(1/3)

Home

FREE PDFs

🔍 Search