Section Modulus given Height and Breadth of Section Calculator

✖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%

✖Section modulus of a beam is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus given Height and Breadth of Section [S]

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Formula

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Section Modulus given Height and Breadth of Section

Formula

`"S" = ("b"*"h"^2)/6`

Example

`"900000mm³"=("135mm"*("200.0mm")^2)/6`

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Section Modulus given Height and Breadth of Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus = (Width of Beam*Depth of Beam^2)/6
S = (b*h^2)/6
This formula uses 3 Variables

Variables Used

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.
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

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

S = (b*h^2)/6 --> (0.135*0.2^2)/6

Evaluating ... ...

S = 0.0009

STEP 3: Convert Result to Output's Unit

0.0009 Cubic Meter -->900000 Cubic Millimeter (Check conversion here)

FINAL ANSWER

900000 Cubic Millimeter <-- Section Modulus

(Calculation completed in 00.004 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 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

Section Modulus given Height and Breadth of Section Formula

Section Modulus = (Width of Beam*Depth of Beam^2)/6
S = (b*h^2)/6

How to calculate section modulus?

Section modulus can be calculated by using the dimensions of the section applying the above formula for rectangular section.

How to Calculate Section Modulus given Height and Breadth of Section?

Section Modulus given Height and Breadth of Section calculator uses Section Modulus = (Width of Beam*Depth of Beam^2)/6 to calculate the Section Modulus, The Section Modulus given Height and Breadth of Section formula is defined as a geometric property of the cross-section used for designing beams and flexural members. Section Modulus is denoted by S symbol.

How to calculate Section Modulus given Height and Breadth of Section using this online calculator? To use this online calculator for Section Modulus given Height and Breadth of Section, enter Width of Beam (b) & Depth of Beam (h) and hit the calculate button. Here is how the Section Modulus given Height and Breadth of Section calculation can be explained with given input values -> 9E+14 = (0.135*0.2^2)/6.

FAQ

What is Section Modulus given Height and Breadth of Section?

The Section Modulus given Height and Breadth of Section formula is defined as a geometric property of the cross-section used for designing beams and flexural members and is represented as S = (b*h^2)/6 or Section Modulus = (Width of Beam*Depth of Beam^2)/6. 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 Section Modulus given Height and Breadth of Section?

The Section Modulus given Height and Breadth of Section formula is defined as a geometric property of the cross-section used for designing beams and flexural members is calculated using Section Modulus = (Width of Beam*Depth of Beam^2)/6. To calculate Section Modulus given Height and Breadth of Section, you need Width of Beam (b) & Depth of Beam (h). With our tool, you need to enter the respective value for 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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