Beam Width given Extreme Fiber Stress for Rectangular Timber Beam Calculator

✖Bending moment is the sum of the moments of that section of all external forces acting on one side of that section.ⓘ Bending Moment [M]			+10% -10%
✖Maximum Fiber Stress can be described as the Maximum tensile or compressive stress in a homogeneous flexure or torsion test specimen. maximum fiber stress occurs at mid-span.ⓘ Maximum Fiber Stress [f_s]			+10% -10%
✖Depth of beam is the vertical distance between the uppermost deck and the bottom of the keel, measured at the middle of the overall length.ⓘ Depth of Beam [h]			+10% -10%

✖The width of beam is the beam width from edge to edge.ⓘ Beam Width given Extreme Fiber Stress for Rectangular Timber Beam [b]

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Beam Width given Extreme Fiber Stress for Rectangular Timber Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Beam = (6*Bending Moment)/(Maximum Fiber Stress*(Depth of Beam)^2)
b = (6*M)/(f_s*(h)^2)
This formula uses 4 Variables

Variables Used

Width of Beam - (Measured in Meter) - The width of beam is the beam width from edge to edge.
Bending Moment - (Measured in Newton Meter) - Bending moment is the sum of the moments of that section of all external forces acting on one side of that section.
Maximum Fiber Stress - (Measured in Pascal) - Maximum Fiber Stress can be described as the Maximum tensile or compressive stress in a homogeneous flexure or torsion test specimen. maximum fiber stress occurs at mid-span.
Depth of Beam - (Measured in Meter) - Depth of beam is the vertical distance between the uppermost deck and the bottom of the keel, measured at the middle of the overall length.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 2500 Newton Meter --> 2500 Newton Meter No Conversion Required
Maximum Fiber Stress: 2.78 Megapascal --> 2780000 Pascal (Check conversion here)
Depth of Beam: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (6*M)/(f_s*(h)^2) --> (6*2500)/(2780000*(0.2)^2)

Evaluating ... ...

b = 0.134892086330935

STEP 3: Convert Result to Output's Unit

0.134892086330935 Meter -->134.892086330935 Millimeter (Check conversion here)

FINAL ANSWER

134.892086330935 ≈ 134.8921 Millimeter <-- Width of Beam

(Calculation completed in 00.020 seconds)

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Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam

LaTeX Go Bending Moment = (Maximum Fiber Stress*Width of Beam*(Depth of Beam)^2)/6

Extreme Fiber Stress in Bending for Rectangular Timber Beam

LaTeX Go Maximum Fiber Stress = (6*Bending Moment)/(Width of Beam*Depth of Beam^2)

Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus

LaTeX Go Maximum Fiber Stress = Bending Moment/Section Modulus

Section Modulus given Height and Breadth of Section

LaTeX Go Section Modulus = (Width of Beam*Depth of Beam^2)/6

Beam Width given Extreme Fiber Stress for Rectangular Timber Beam Formula

LaTeX Go

Width of Beam = (6*Bending Moment)/(Maximum Fiber Stress*(Depth of Beam)^2)
b = (6*M)/(f_s*(h)^2)

What is Extreme Fiber Stress & how to calculate?

Extreme Fiber Stress can be defined as the stress per unit of area in an extreme fiber of a structural member subjected to bending.
Extreme fiber stress can be calculated at the extreme end of the section (rectangular timber beam) subjected to bending.

What is Timber Beam?

Timber Beam, also known as Lumber, is the raw wood material that is custom-designed and machine cut into dimensional boards according to their width, thickness, and length. Timber Beam is predominantly used for the purpose of structural construction, and several other needs.

How to Calculate Beam Width given Extreme Fiber Stress for Rectangular Timber Beam?

Beam Width given Extreme Fiber Stress for Rectangular Timber Beam calculator uses Width of Beam = (6*Bending Moment)/(Maximum Fiber Stress*(Depth of Beam)^2) to calculate the Width of Beam, The Beam Width given Extreme Fiber Stress for Rectangular Timber Beam formula is defined as the width of the beam at maximum fiber stress from the extreme end of a section. Width of Beam is denoted by b symbol.

How to calculate Beam Width given Extreme Fiber Stress for Rectangular Timber Beam using this online calculator? To use this online calculator for Beam Width given Extreme Fiber Stress for Rectangular Timber Beam, enter Bending Moment (M), Maximum Fiber Stress (f_s) & Depth of Beam (h) and hit the calculate button. Here is how the Beam Width given Extreme Fiber Stress for Rectangular Timber Beam calculation can be explained with given input values -> 134892.1 = (6*2500)/(2780000*(0.2)^2).

FAQ

What is Beam Width given Extreme Fiber Stress for Rectangular Timber Beam?

The Beam Width given Extreme Fiber Stress for Rectangular Timber Beam formula is defined as the width of the beam at maximum fiber stress from the extreme end of a section and is represented as b = (6*M)/(f_s*(h)^2) or Width of Beam = (6*Bending Moment)/(Maximum Fiber Stress*(Depth of Beam)^2). Bending moment is the sum of the moments of that section of all external forces acting on one side of that section, Maximum Fiber Stress can be described as the Maximum tensile or compressive stress in a homogeneous flexure or torsion test specimen. maximum fiber stress occurs at mid-span & Depth of beam is the vertical distance between the uppermost deck and the bottom of the keel, measured at the middle of the overall length.

How to calculate Beam Width given Extreme Fiber Stress for Rectangular Timber Beam?

The Beam Width given Extreme Fiber Stress for Rectangular Timber Beam formula is defined as the width of the beam at maximum fiber stress from the extreme end of a section is calculated using Width of Beam = (6*Bending Moment)/(Maximum Fiber Stress*(Depth of Beam)^2). To calculate Beam Width given Extreme Fiber Stress for Rectangular Timber Beam, you need Bending Moment (M), Maximum Fiber Stress (f_s) & Depth of Beam (h). With our tool, you need to enter the respective value for Bending Moment, Maximum Fiber 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.

How many ways are there to calculate Width of Beam?

In this formula, Width of Beam uses Bending Moment, Maximum Fiber Stress & Depth of Beam. We can use 1 other way(s) to calculate the same, which is/are as follows -

Width of Beam = (3*Total Shear)/(2*Depth of Beam*Horizontal Shearing Stress)

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