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Deflection of Fixed Beam with Uniformly Distributed Load Calculator

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Stress and Strain Strain Stress

✖Width of Beam is the horizontal measurement taken perpendicular to the length of beam.ⓘ Width of Beam [W_beam]			+10% -10%
✖Beam Length is the center to center distance between the supports or the effective length of the beam.ⓘ Beam Length [L_beam]			+10% -10%
✖The Elastic Modulus is a fundamental property that quantifies the stiffness of a material. It is defined as the ratio of stress to strain within the elastic range of a material.ⓘ Elastic Modulus [e]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%

✖Deflection of Fixed Beam with UDL is the deflection in the fixed beam caused due to the uniformly distributed load.ⓘ Deflection of Fixed Beam with Uniformly Distributed Load [d]

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Deflection of Fixed Beam with Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Fixed Beam with UDL = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia)
d = (W_beam*L_beam^4)/(384*e*I)
This formula uses 5 Variables

Variables Used

Deflection of Fixed Beam with UDL - (Measured in Meter) - Deflection of Fixed Beam with UDL is the deflection in the fixed beam caused due to the uniformly distributed load.
Width of Beam - (Measured in Meter) - Width of Beam is the horizontal measurement taken perpendicular to the length of beam.
Beam Length - (Measured in Meter) - Beam Length is the center to center distance between the supports or the effective length of the beam.
Elastic Modulus - (Measured in Pascal) - The Elastic Modulus is a fundamental property that quantifies the stiffness of a material. It is defined as the ratio of stress to strain within the elastic range of a material.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

STEP 1: Convert Input(s) to Base Unit

Width of Beam: 18 Millimeter --> 0.018 Meter (Check conversion here)
Beam Length: 4800 Millimeter --> 4.8 Meter (Check conversion here)
Elastic Modulus: 50 Pascal --> 50 Pascal No Conversion Required
Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (W_beam*L_beam^4)/(384*e*I) --> (0.018*4.8^4)/(384*50*1.125)

Evaluating ... ...

d = 0.000442368

STEP 3: Convert Result to Output's Unit

0.000442368 Meter -->0.442368 Millimeter (Check conversion here)

FINAL ANSWER

0.442368 Millimeter <-- Deflection of Fixed Beam with UDL

(Calculation completed in 00.014 seconds)

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Deflection of Fixed Beam with Uniformly Distributed Load Formula

LaTeX Go

Deflection of Fixed Beam with UDL = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia)
d = (W_beam*L_beam^4)/(384*e*I)

What is Deflection?

Deflection is the degree to which a structural element is displaced under a load (due to its deformation). The deflection of beam elements is usually calculated on the basis of the Euler–Bernoulli beam equation while that of a plate or shell element is calculated using plate or shell theory.

How to Calculate Deflection of Fixed Beam with Uniformly Distributed Load?

Deflection of Fixed Beam with Uniformly Distributed Load calculator uses Deflection of Fixed Beam with UDL = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia) to calculate the Deflection of Fixed Beam with UDL, The Deflection of Fixed Beam with Uniformly Distributed Load formula is defined as a measure of the maximum displacement of a fixed beam under a uniformly distributed load, providing insight into the beam's stress and strain characteristics, and is essential in structural analysis and design. Deflection of Fixed Beam with UDL is denoted by d symbol.

How to calculate Deflection of Fixed Beam with Uniformly Distributed Load using this online calculator? To use this online calculator for Deflection of Fixed Beam with Uniformly Distributed Load, enter Width of Beam (W_beam), Beam Length (L_beam), Elastic Modulus (e) & Moment of Inertia (I) and hit the calculate button. Here is how the Deflection of Fixed Beam with Uniformly Distributed Load calculation can be explained with given input values -> 442.368 = (0.018*4.8^4)/(384*50*1.125).

FAQ

What is Deflection of Fixed Beam with Uniformly Distributed Load?

The Deflection of Fixed Beam with Uniformly Distributed Load formula is defined as a measure of the maximum displacement of a fixed beam under a uniformly distributed load, providing insight into the beam's stress and strain characteristics, and is essential in structural analysis and design and is represented as d = (W_beam*L_beam^4)/(384*e*I) or Deflection of Fixed Beam with UDL = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia). Width of Beam is the horizontal measurement taken perpendicular to the length of beam, Beam Length is the center to center distance between the supports or the effective length of the beam, The Elastic Modulus is a fundamental property that quantifies the stiffness of a material. It is defined as the ratio of stress to strain within the elastic range of a material & Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

How to calculate Deflection of Fixed Beam with Uniformly Distributed Load?

The Deflection of Fixed Beam with Uniformly Distributed Load formula is defined as a measure of the maximum displacement of a fixed beam under a uniformly distributed load, providing insight into the beam's stress and strain characteristics, and is essential in structural analysis and design is calculated using Deflection of Fixed Beam with UDL = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia). To calculate Deflection of Fixed Beam with Uniformly Distributed Load, you need Width of Beam (W_beam), Beam Length (L_beam), Elastic Modulus (e) & Moment of Inertia (I). With our tool, you need to enter the respective value for Width of Beam, Beam Length, Elastic Modulus & Moment of Inertia and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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