Deflection for Deck Beam when Load is Distributed Calculator

✖Greatest Safe Distributed Load is that load which acts over a considerable length or over a length which is measurable. Distributed load is measured as per unit length.ⓘ Greatest Safe Distributed Load [W_d]			+10% -10%
✖Length of Beam is the center to center distance between the supports or the effective length of the beam.ⓘ Length of Beam [L]			+10% -10%
✖Cross Sectional Area of Beam the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area of Beam [A_cs]			+10% -10%
✖Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.ⓘ Depth of Beam [d_b]			+10% -10%

✖Deflection of Beam 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.ⓘ Deflection for Deck Beam when Load is Distributed [δ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Moving Loads and Influence Lines for Beams Formulas PDF PDF Image

Deflection for Deck Beam when Load is Distributed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Beam = (Greatest Safe Distributed Load*(Length of Beam^3))/(80*Cross Sectional Area of Beam*(Depth of Beam^2))
δ = (W_d*(L^3))/(80*A_cs*(d_b^2))
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). It may refer to an angle or a distance.
Greatest Safe Distributed Load - (Measured in Newton) - Greatest Safe Distributed Load is that load which acts over a considerable length or over a length which is measurable. Distributed load is measured as per unit length.
Length of Beam - (Measured in Meter) - Length of Beam is the center to center distance between the supports or the effective length of the beam.
Cross Sectional Area of Beam - (Measured in Square Meter) - Cross Sectional Area of Beam the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Depth of Beam - (Measured in Meter) - Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

STEP 1: Convert Input(s) to Base Unit

Greatest Safe Distributed Load: 1.00001 Kilonewton --> 1000.01 Newton (Check conversion here)
Length of Beam: 10.02 Foot --> 3.05409600001222 Meter (Check conversion here)
Cross Sectional Area of Beam: 13 Square Meter --> 13 Square Meter No Conversion Required
Depth of Beam: 10.01 Inch --> 0.254254000001017 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (W_d*(L^3))/(80*A_cs*(d_b^2)) --> (1000.01*(3.05409600001222^3))/(80*13*(0.254254000001017^2))

Evaluating ... ...

δ = 423.724394759633

STEP 3: Convert Result to Output's Unit

423.724394759633 Meter -->16682.0627857456 Inch (Check conversion here)

FINAL ANSWER

16682.0627857456 ≈ 16682.06 Inch <-- Deflection of Beam

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Structural Analysis » Moving Loads and Influence Lines for Beams » Calculation of Deflection » Deflection for Deck Beam when Load is Distributed

Credits

Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has created this Calculator and 100+ more calculators!

Verified by Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has verified this Calculator and 50+ more calculators!

< Calculation of Deflection Calculators

Deflection for Hollow Rectangle when Load is Distributed

LaTeX Go Deflection of Beam = Greatest Safe Distributed Load*(Length of Beam^3)/(52*(Cross Sectional Area of Beam*Depth of Beam^-Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2))

Deflection for Hollow Rectangle given Load in Middle

LaTeX Go Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*((Cross Sectional Area of Beam*Depth of Beam^2)-(Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2)))

Deflection for Solid Rectangle when Load is Distributed

LaTeX Go Deflection of Beam = (Greatest Safe Distributed Load*Length of Beam^3)/(52*Cross Sectional Area of Beam*Depth of Beam^2)

Deflection for Solid Rectangle when Load in Middle

LaTeX Go Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*Cross Sectional Area of Beam*Depth of Beam^2)

Deflection for Deck Beam when Load is Distributed Formula

LaTeX Go

Deflection of Beam = (Greatest Safe Distributed Load*(Length of Beam^3))/(80*Cross Sectional Area of Beam*(Depth of Beam^2))
δ = (W_d*(L^3))/(80*A_cs*(d_b^2))

What is Deflection?

Deflection is the degree to which a structural element is displaced under a load. 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. Standard formulas exist for the deflection of common beam configurations and load cases at discrete locations. Otherwise methods such as virtual work, direct integration, Castigliano's method, Macaulay's method or the direct stiffness method are used.

How to Calculate Deflection for Deck Beam when Load is Distributed?

Deflection for Deck Beam when Load is Distributed calculator uses Deflection of Beam = (Greatest Safe Distributed Load*(Length of Beam^3))/(80*Cross Sectional Area of Beam*(Depth of Beam^2)) to calculate the Deflection of Beam, The Deflection for Deck Beam when Load is Distributed formula is defines the amount of bending or sag experienced by the beam due to the load spread across its length. Deflection of Beam is denoted by δ symbol.

How to calculate Deflection for Deck Beam when Load is Distributed using this online calculator? To use this online calculator for Deflection for Deck Beam when Load is Distributed, enter Greatest Safe Distributed Load (W_d), Length of Beam (L), Cross Sectional Area of Beam (A_cs) & Depth of Beam (d_b) and hit the calculate button. Here is how the Deflection for Deck Beam when Load is Distributed calculation can be explained with given input values -> 656774.1 = (1000.01*(3.05409600001222^3))/(80*13*(0.254254000001017^2)).

FAQ

What is Deflection for Deck Beam when Load is Distributed?

The Deflection for Deck Beam when Load is Distributed formula is defines the amount of bending or sag experienced by the beam due to the load spread across its length and is represented as δ = (W_d*(L^3))/(80*A_cs*(d_b^2)) or Deflection of Beam = (Greatest Safe Distributed Load*(Length of Beam^3))/(80*Cross Sectional Area of Beam*(Depth of Beam^2)). Greatest Safe Distributed Load is that load which acts over a considerable length or over a length which is measurable. Distributed load is measured as per unit length, Length of Beam is the center to center distance between the supports or the effective length of the beam, Cross Sectional Area of Beam the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

How to calculate Deflection for Deck Beam when Load is Distributed?

The Deflection for Deck Beam when Load is Distributed formula is defines the amount of bending or sag experienced by the beam due to the load spread across its length is calculated using Deflection of Beam = (Greatest Safe Distributed Load*(Length of Beam^3))/(80*Cross Sectional Area of Beam*(Depth of Beam^2)). To calculate Deflection for Deck Beam when Load is Distributed, you need Greatest Safe Distributed Load (W_d), Length of Beam (L), Cross Sectional Area of Beam (A_cs) & Depth of Beam (d_b). With our tool, you need to enter the respective value for Greatest Safe Distributed Load, Length of Beam, Cross Sectional Area of Beam & Depth of 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 Deflection of Beam?

In this formula, Deflection of Beam uses Greatest Safe Distributed Load, Length of Beam, Cross Sectional Area of Beam & Depth of Beam. We can use 3 other way(s) to calculate the same, which is/are as follows -

Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*Cross Sectional Area of Beam*Depth of Beam^2)
Deflection of Beam = (Greatest Safe Distributed Load*Length of Beam^3)/(52*Cross Sectional Area of Beam*Depth of Beam^2)
Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*((Cross Sectional Area of Beam*Depth of Beam^2)-(Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2)))

Home

FREE PDFs

🔍 Search