Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Fiber Stress = Bending Moment/Section Modulus
fs = M/S
This formula uses 3 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.
Section Modulus - (Measured in Cubic Meter) - Section modulus of a beam is a geometric property for a given cross-section used in the design of beams or flexural members.
STEP 1: Convert Input(s) to Base Unit
Bending Moment: 2500 Newton Meter --> 2500 Newton Meter No Conversion Required
Section Modulus: 900000 Cubic Millimeter --> 0.0009 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fs = M/S --> 2500/0.0009
Evaluating ... ...
fs = 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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National Institute of Technology (NIT), Warangal
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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 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
Beam Width given Horizontal Shearing Stress
Go Width of Beam = (3*Total Shear)/(2*Depth of Beam*Horizontal Shearing Stress)
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 for Rectangular Timber Beam given Section Modulus Formula

Maximum Fiber Stress = Bending Moment/Section Modulus
fs = M/S

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 Section Modulus?

Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

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

Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus calculator uses Maximum Fiber Stress = Bending Moment/Section Modulus to calculate the Maximum Fiber Stress, The Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus formula is defined as the stress induced on the extreme fiber of a structural member subjected to bending. Maximum Fiber Stress is denoted by fs symbol.

How to calculate Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus using this online calculator? To use this online calculator for Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus, enter Bending Moment (M) & Section Modulus (S) and hit the calculate button. Here is how the Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus calculation can be explained with given input values -> 2.8E-6 = 2500/0.0009.

FAQ

What is Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus?
The Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus formula is defined as the stress induced on the extreme fiber of a structural member subjected to bending and is represented as fs = M/S or Maximum Fiber Stress = Bending Moment/Section Modulus. Bending moment is the sum of the moments of that section of all external forces acting on one side of that section & Section modulus of a beam is a geometric property for a given cross-section used in the design of beams or flexural members.
How to calculate Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus?
The Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus formula is defined as the stress induced on the extreme fiber of a structural member subjected to bending is calculated using Maximum Fiber Stress = Bending Moment/Section Modulus. To calculate Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus, you need Bending Moment (M) & Section Modulus (S). With our tool, you need to enter the respective value for Bending Moment & Section Modulus 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 & Section Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Maximum Fiber Stress = (6*Bending Moment)/(Width of Beam*Depth of Beam^2)
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