Extreme Fiber Stress in Bending 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%
✖The width of beam is the beam width from edge to edge.ⓘ Width of Beam [b]			+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%

✖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.ⓘ Extreme Fiber Stress in Bending for Rectangular Timber Beam [f_s]

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Extreme Fiber Stress in Bending for Rectangular Timber Beam

Formula

`"f"_{"s"} = (6*"M")/("b"*"h"^2)`

Example

`"2.777778MPa"=(6*"2500N*m")/("135mm"*("200.0mm")^2)`

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Extreme Fiber Stress in Bending for Rectangular Timber Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Width of Beam - (Measured in Meter) - The width of beam is the beam width from edge to edge.
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
Width of Beam: 135 Millimeter --> 0.135 Meter (Check conversion here)
Depth of Beam: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = (6*M)/(b*h^2) --> (6*2500)/(0.135*0.2^2)

Evaluating ... ...

f_s = 2777777.77777778

STEP 3: Convert Result to Output's Unit

2777777.77777778 Pascal -->2.77777777777778 Megapascal (Check conversion here)

FINAL ANSWER

2.77777777777778 ≈ 2.777778 Megapascal <-- Maximum Fiber Stress

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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NSS College of Engineering (NSSCE), Palakkad

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< 13 Beams Calculators

Modified Total End Shear for Concentrated Loads

Go Modified Total End Shear = (10*Concentrated Load*(Span of Beam-Distance from Reaction to Concentrated Load)*((Distance from Reaction to Concentrated Load/Depth of Beam)^2))/(9*Span of Beam*(2+(Distance from Reaction to Concentrated Load/Depth of Beam)^2))

Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face

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

Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam

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

Modified Total End Shear for Uniform Loading

Go Modified Total End Shear = (Total Uniformly Distributed Load/2)*(1-((2*Depth of Beam)/Span of Beam))

Horizontal Shearing Stress in Rectangular Timber Beam

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

Beam Width given Horizontal Shearing Stress

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

Beam Depth given Horizontal Shearing Stress

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

Beam Width given Extreme Fiber Stress for Rectangular Timber Beam

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

Total Shear given Horizontal Shearing Stress

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

Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam

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

Extreme Fiber Stress in Bending for Rectangular Timber Beam

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

Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus

Go Maximum Fiber Stress = Bending Moment/Section Modulus

Section Modulus given Height and Breadth of Section

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

Extreme Fiber Stress in Bending for Rectangular Timber Beam Formula

Maximum Fiber Stress = (6*Bending Moment)/(Width of Beam*Depth of Beam^2)
f_s = (6*M)/(b*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 Extreme Fiber Stress in Bending for Rectangular Timber Beam?

Extreme Fiber Stress in Bending for Rectangular Timber Beam calculator uses Maximum Fiber Stress = (6*Bending Moment)/(Width of Beam*Depth of Beam^2) to calculate the Maximum Fiber Stress, The Extreme Fiber Stress in Bending for Rectangular Timber Beam formula is defined as the stress induced in an extreme fiber of a structural member subjected to bending. Maximum Fiber Stress is denoted by f_s symbol.

How to calculate Extreme Fiber Stress in Bending for Rectangular Timber Beam using this online calculator? To use this online calculator for Extreme Fiber Stress in Bending for Rectangular Timber Beam, enter Bending Moment (M), Width of Beam (b) & Depth of Beam (h) and hit the calculate button. Here is how the Extreme Fiber Stress in Bending for Rectangular Timber Beam calculation can be explained with given input values -> 2.8E-6 = (6*2500)/(0.135*0.2^2).

FAQ

What is Extreme Fiber Stress in Bending for Rectangular Timber Beam?

The Extreme Fiber Stress in Bending for Rectangular Timber Beam formula is defined as the stress induced in an extreme fiber of a structural member subjected to bending and is represented as f_s = (6*M)/(b*h^2) or Maximum Fiber Stress = (6*Bending Moment)/(Width of Beam*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, The width of beam is the beam width from edge to edge & 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 Extreme Fiber Stress in Bending for Rectangular Timber Beam?

The Extreme Fiber Stress in Bending for Rectangular Timber Beam formula is defined as the stress induced in an extreme fiber of a structural member subjected to bending is calculated using Maximum Fiber Stress = (6*Bending Moment)/(Width of Beam*Depth of Beam^2). To calculate Extreme Fiber Stress in Bending for Rectangular Timber Beam, you need Bending Moment (M), Width of Beam (b) & Depth of Beam (h). With our tool, you need to enter the respective value for Bending Moment, Width 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 Maximum Fiber Stress?

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

Maximum Fiber Stress = Bending Moment/Section Modulus

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