Beam Width given Horizontal Shearing Stress Calculator

✖Total Shear is defined as the total shear force acting on the body.ⓘ Total Shear [V]			+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%
✖Horizontal Shearing Stress is defined as all the forces induced(bending moment, shear stress) in the upper part of the section.ⓘ Horizontal Shearing Stress [H]			+10% -10%

✖The width of beam is the beam width from edge to edge.ⓘ Beam Width given Horizontal Shearing Stress [b]

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Formula

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Beam Width given Horizontal Shearing Stress

Formula

`"b" = (3*"V")/(2*"h"*"H")`

Example

`"134.9877mm"=(3*"660000N")/(2*"200.0mm"*"36.67MPa")`

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Beam Width given Horizontal Shearing Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Beam = (3*Total Shear)/(2*Depth of Beam*Horizontal Shearing Stress)
b = (3*V)/(2*h*H)
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.
Total Shear - (Measured in Newton) - Total Shear is defined as the total shear force acting on the body.
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.
Horizontal Shearing Stress - (Measured in Pascal) - Horizontal Shearing Stress is defined as all the forces induced(bending moment, shear stress) in the upper part of the section.

STEP 1: Convert Input(s) to Base Unit

Total Shear: 660000 Newton --> 660000 Newton No Conversion Required
Depth of Beam: 200 Millimeter --> 0.2 Meter (Check conversion here)
Horizontal Shearing Stress: 36.67 Megapascal --> 36670000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (3*V)/(2*h*H) --> (3*660000)/(2*0.2*36670000)

Evaluating ... ...

b = 0.134987728388328

STEP 3: Convert Result to Output's Unit

0.134987728388328 Meter -->134.987728388328 Millimeter (Check conversion here)

FINAL ANSWER

134.987728388328 ≈ 134.9877 Millimeter <-- Width of Beam

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Bhilai Institute of Technology (BIT), Raipur

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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

Beam Width given Horizontal Shearing Stress Formula

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

What is Shear Stress?

Shear stress, the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. The resultant shear is of great importance in nature, being intimately related to the downslope movement of earth materials and to earthquakes.

How to calculate the Depth and Width of Beam?

The Depth of the beam (or) height of the beam can be calculated by using the horizontal shearing stress and total shear and the width of the beam applied in the above formula.
The Width of the beam can be calculated by using horizontal shearing stress, total shear and the width of the beam could be applied to the above formula.

How to Calculate Beam Width given Horizontal Shearing Stress?

Beam Width given Horizontal Shearing Stress calculator uses Width of Beam = (3*Total Shear)/(2*Depth of Beam*Horizontal Shearing Stress) to calculate the Width of Beam, The Beam Width given Horizontal Shearing Stress formula is defined as the width of the beam in a given section when horizontal shearing stress is induced. Width of Beam is denoted by b symbol.

How to calculate Beam Width given Horizontal Shearing Stress using this online calculator? To use this online calculator for Beam Width given Horizontal Shearing Stress, enter Total Shear (V), Depth of Beam (h) & Horizontal Shearing Stress (H) and hit the calculate button. Here is how the Beam Width given Horizontal Shearing Stress calculation can be explained with given input values -> 134987.7 = (3*660000)/(2*0.2*36670000).

FAQ

What is Beam Width given Horizontal Shearing Stress?

The Beam Width given Horizontal Shearing Stress formula is defined as the width of the beam in a given section when horizontal shearing stress is induced and is represented as b = (3*V)/(2*h*H) or Width of Beam = (3*Total Shear)/(2*Depth of Beam*Horizontal Shearing Stress). Total Shear is defined as the total shear force acting on the body, 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 & Horizontal Shearing Stress is defined as all the forces induced(bending moment, shear stress) in the upper part of the section.

How to calculate Beam Width given Horizontal Shearing Stress?

The Beam Width given Horizontal Shearing Stress formula is defined as the width of the beam in a given section when horizontal shearing stress is induced is calculated using Width of Beam = (3*Total Shear)/(2*Depth of Beam*Horizontal Shearing Stress). To calculate Beam Width given Horizontal Shearing Stress, you need Total Shear (V), Depth of Beam (h) & Horizontal Shearing Stress (H). With our tool, you need to enter the respective value for Total Shear, Depth of Beam & Horizontal Shearing Stress 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 Total Shear, Depth of Beam & Horizontal Shearing Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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