HCF calculator

Deflection of Fixed Beam with Load at Center Calculator

Engineering Chemistry Financial Health More >>

↳

Mechanical Chemical Engineering Civil Electrical More >>

⤿

Strength of Materials Cryogenic Systems Fluid Mechanics Industrial Engineering More >>

⤿

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 beam is the degree to which a structural element is displaced under a load (due to its deformation).ⓘ Deflection of Fixed Beam with Load at Center [δ]

⎘ Copy

👎

Formula

Reset

👍

Download Stress and Strain Formulas PDF PDF Image

Deflection of Fixed Beam with Load at Center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Beam = (Width of Beam*Beam Length^3)/(192*Elastic Modulus*Moment of Inertia)
δ = (W_beam*L_beam^3)/(192*e*I)
This formula uses 5 Variables

Variables Used

Deflection of Beam - (Measured in Meter) - Deflection of beam is the degree to which a structural element is displaced under a load (due to its deformation).
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

δ = (W_beam*L_beam^3)/(192*e*I) --> (0.018*4.8^3)/(192*50*1.125)

Evaluating ... ...

δ = 0.00018432

STEP 3: Convert Result to Output's Unit

0.00018432 Meter -->0.18432 Millimeter (Check conversion here)

FINAL ANSWER

0.18432 Millimeter <-- Deflection of Beam

(Calculation completed in 00.007 seconds)

You are here -

Home » Engineering » Mechanical » Strength of Materials » Stress and Strain » Deflection of Fixed Beam with Load at Center

Credits

Created by Pragati Jaju

College Of Engineering (COEP), Pune

Pragati Jaju has created this Calculator and 50+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< Stress and Strain Calculators

Elongation Circular Tapered Bar

Go Elongation in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)

Moment of Inertia for Hollow Circular Shaft

Go Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))

Elongation of Prismatic Bar due to its Own Weight

Go Elongation of Prismatic Bar = (Load*Length of Bar)/(2*Area of Prismatic Bar*Elastic Modulus)

Moment of Inertia about Polar Axis

Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Deflection of Fixed Beam with Load at Center Formula

Deflection of Beam = (Width of Beam*Beam Length^3)/(192*Elastic Modulus*Moment of Inertia)
δ = (W_beam*L_beam^3)/(192*e*I)

What is Deflection?

Deflection is the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance.

The deflection distance of a member under a load can be calculated by integrating the function that mathematically describes the slope of the deflected shape of the member under that load.

How to Calculate Deflection of Fixed Beam with Load at Center?

Deflection of Fixed Beam with Load at Center calculator uses Deflection of Beam = (Width of Beam*Beam Length^3)/(192*Elastic Modulus*Moment of Inertia) to calculate the Deflection of Beam, The Deflection of Fixed Beam with Load at Center formula is defined as a measure of the maximum displacement of a fixed beam from its original position when a load is applied at its center, providing insight into the beam's stress and strain behavior under various loading conditions. Deflection of Beam is denoted by δ symbol.

How to calculate Deflection of Fixed Beam with Load at Center using this online calculator? To use this online calculator for Deflection of Fixed Beam with Load at Center, 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 Load at Center calculation can be explained with given input values -> 184.32 = (0.018*4.8^3)/(192*50*1.125).

FAQ

What is Deflection of Fixed Beam with Load at Center?

The Deflection of Fixed Beam with Load at Center formula is defined as a measure of the maximum displacement of a fixed beam from its original position when a load is applied at its center, providing insight into the beam's stress and strain behavior under various loading conditions and is represented as δ = (W_beam*L_beam^3)/(192*e*I) or Deflection of Beam = (Width of Beam*Beam Length^3)/(192*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 Load at Center?

The Deflection of Fixed Beam with Load at Center formula is defined as a measure of the maximum displacement of a fixed beam from its original position when a load is applied at its center, providing insight into the beam's stress and strain behavior under various loading conditions is calculated using Deflection of Beam = (Width of Beam*Beam Length^3)/(192*Elastic Modulus*Moment of Inertia). To calculate Deflection of Fixed Beam with Load at Center, 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.

Home

FREE PDFs

🔍 Search