Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam Calculator

✖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%
✖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%

✖Bending moment is the sum of the moments of that section of all external forces acting on one side of that section.ⓘ Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam [M]

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Formula

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Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam

Formula

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

Example

`"2502N*m"=("2.78MPa"*"135mm"*("200.0mm")^2)/6`

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Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

Maximum Fiber Stress: 2.78 Megapascal --> 2780000 Pascal (Check conversion here)
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

M = (f_s*b*(h)^2)/6 --> (2780000*0.135*(0.2)^2)/6

Evaluating ... ...

M = 2502

STEP 3: Convert Result to Output's Unit

2502 Newton Meter --> No Conversion Required

FINAL ANSWER

2502 Newton Meter <-- Bending Moment

(Calculation completed in 00.009 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

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

Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam Formula

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

How to calculate the Bending Moment?

Bending moment can be calculated based on the force exerted at extreme fiber end upon the section by using the above formula

What is Extreme Fiber Stress & Timber Beam?

Extreme Fiber Stress can be defined as the stress per unit of area in an extreme fiber of a structural member subjected to bending.
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 Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam?

Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam calculator uses Bending Moment = (Maximum Fiber Stress*Width of Beam*(Depth of Beam)^2)/6 to calculate the Bending Moment, The Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam formula is defined as the reaction induced in a structural element when an external force is applied to the section causing the section to bend. Bending Moment is denoted by M symbol.

How to calculate Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam using this online calculator? To use this online calculator for Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam, enter Maximum Fiber Stress (f_s), Width of Beam (b) & Depth of Beam (h) and hit the calculate button. Here is how the Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam calculation can be explained with given input values -> 2502 = (2780000*0.135*(0.2)^2)/6.

FAQ

What is Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam?

The Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam formula is defined as the reaction induced in a structural element when an external force is applied to the section causing the section to bend and is represented as M = (f_s*b*(h)^2)/6 or Bending Moment = (Maximum Fiber Stress*Width of Beam*(Depth of Beam)^2)/6. 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, 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 Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam?

The Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam formula is defined as the reaction induced in a structural element when an external force is applied to the section causing the section to bend is calculated using Bending Moment = (Maximum Fiber Stress*Width of Beam*(Depth of Beam)^2)/6. To calculate Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam, you need Maximum Fiber Stress (f_s), Width of Beam (b) & Depth of Beam (h). With our tool, you need to enter the respective value for Maximum Fiber Stress, 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.

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