Beam Width for Uniform Strength in Bending Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Beam = 3*Load on Beam*Length of Beam/(2*Allowable Bending Stress*Depth of Beam^2)
bBeam = 3*w*L/(2*f*dBeam^2)
This formula uses 5 Variables
Variables Used
Width of Beam - (Measured in Millimeter) - Width of Beam is the horizontal dimension between its opposite surfaces or edges, perpendicular to its depth and length.
Load on Beam - (Measured in Newton) - Load on Beam is the external force or weight applied to the beam, potentially causing deformation or stress.
Length of Beam - (Measured in Millimeter) - Length of Beam is the dimension that measures the span or extent along the longitudinal axis, from one end to another.
Allowable Bending Stress - (Measured in Megapascal) - Allowable Bending Stress is the maximum stress a material can endure without exceeding its elastic limit under bending deformation.
Depth of Beam - (Measured in Millimeter) - Depth of Beam is the vertical measurement between its upper and lower surfaces, perpendicular to its length and width.
STEP 1: Convert Input(s) to Base Unit
Load on Beam: 50 Kilonewton --> 50000 Newton (Check conversion ​here)
Length of Beam: 5000 Millimeter --> 5000 Millimeter No Conversion Required
Allowable Bending Stress: 120 Megapascal --> 120 Megapascal No Conversion Required
Depth of Beam: 100 Millimeter --> 100 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
bBeam = 3*w*L/(2*f*dBeam^2) --> 3*50000*5000/(2*120*100^2)
Evaluating ... ...
bBeam = 312.5
STEP 3: Convert Result to Output's Unit
0.3125 Meter -->312.5 Millimeter (Check conversion ​here)
FINAL ANSWER
312.5 Millimeter <-- Width of Beam
(Calculation completed in 00.006 seconds)

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The National Institute of Engineering (NIE), Mysuru
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Section Modulus for Various Shapes Calculators

Section Modulus of Hollow Rectangular Shape
​ LaTeX ​ Go Section Modulus = ((Outer Breadth of Hollow Rectangular Section*Outer Depth of Hollow Rectangular Section^3)-(Inner Breadth of Hollow Rectangular Section*Inner Depth of Hollow Rectangular Section^3))/(6*Outer Depth of Hollow Rectangular Section)
Depth of Rectangular Shape given Section Modulus
​ LaTeX ​ Go Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section)
Breadth of Rectangular Shape given Section Modulus
​ LaTeX ​ Go Width of Cross Section = (6*Section Modulus)/Depth of Cross Section^2
Section Modulus of Rectangular Shape
​ LaTeX ​ Go Section Modulus = (Width of Cross Section*Depth of Cross Section^2)/6

Beam Width for Uniform Strength in Bending Stress Formula

​LaTeX ​Go
Width of Beam = 3*Load on Beam*Length of Beam/(2*Allowable Bending Stress*Depth of Beam^2)
bBeam = 3*w*L/(2*f*dBeam^2)

What is the purpose of calculating the Beam Width for Uniform Strength in Bending Stress?

The purpose is to determine the minimum width necessary to prevent uneven stress distribution and potential structural failure.

How to Calculate Beam Width for Uniform Strength in Bending Stress?

Beam Width for Uniform Strength in Bending Stress calculator uses Width of Beam = 3*Load on Beam*Length of Beam/(2*Allowable Bending Stress*Depth of Beam^2) to calculate the Width of Beam, The Beam Width for Uniform Strength in Bending Stress formula is defined as the required width ensuring consistent stress distribution under applied load. Width of Beam is denoted by bBeam symbol.

How to calculate Beam Width for Uniform Strength in Bending Stress using this online calculator? To use this online calculator for Beam Width for Uniform Strength in Bending Stress, enter Load on Beam (w), Length of Beam (L), Allowable Bending Stress (f) & Depth of Beam (dBeam) and hit the calculate button. Here is how the Beam Width for Uniform Strength in Bending Stress calculation can be explained with given input values -> 31250 = 3*50*5/(2*120000000*0.1^2).

FAQ

What is Beam Width for Uniform Strength in Bending Stress?
The Beam Width for Uniform Strength in Bending Stress formula is defined as the required width ensuring consistent stress distribution under applied load and is represented as bBeam = 3*w*L/(2*f*dBeam^2) or Width of Beam = 3*Load on Beam*Length of Beam/(2*Allowable Bending Stress*Depth of Beam^2). Load on Beam is the external force or weight applied to the beam, potentially causing deformation or stress, Length of Beam is the dimension that measures the span or extent along the longitudinal axis, from one end to another, Allowable Bending Stress is the maximum stress a material can endure without exceeding its elastic limit under bending deformation & Depth of Beam is the vertical measurement between its upper and lower surfaces, perpendicular to its length and width.
How to calculate Beam Width for Uniform Strength in Bending Stress?
The Beam Width for Uniform Strength in Bending Stress formula is defined as the required width ensuring consistent stress distribution under applied load is calculated using Width of Beam = 3*Load on Beam*Length of Beam/(2*Allowable Bending Stress*Depth of Beam^2). To calculate Beam Width for Uniform Strength in Bending Stress, you need Load on Beam (w), Length of Beam (L), Allowable Bending Stress (f) & Depth of Beam (dBeam). With our tool, you need to enter the respective value for Load on Beam, Length of Beam, Allowable Bending Stress & Depth of Beam 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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