Horizontal Shearing Stress in Rectangular Timber Beam Calculator

✖Total Shear is defined as the total shear force acting on the body.ⓘ Total Shear [V]			+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%

✖Horizontal Shearing Stress is defined as all the forces induced(bending moment, shear stress) in the upper part of the section.ⓘ Horizontal Shearing Stress in Rectangular Timber Beam [H]

⎘ Copy

👎

Formula

✖

Horizontal Shearing Stress in Rectangular Timber Beam

Formula

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

Example

`"36.66667MPa"= (3*"660000N")/(2*"135mm"*"200.0mm")`

Calculator

LaTeX

Reset

👍

Download Timber Beams and Columns Formulas PDF

Horizontal Shearing Stress in Rectangular Timber Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Shearing Stress = (3*Total Shear)/(2*Width of Beam*Depth of Beam)
H = (3*V)/(2*b*h)
This formula uses 4 Variables

Variables Used

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.
Total Shear - (Measured in Newton) - Total Shear is defined as the total shear force acting on the body.
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

Total Shear: 660000 Newton --> 660000 Newton 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

H = (3*V)/(2*b*h) --> (3*660000)/(2*0.135*0.2)

Evaluating ... ...

H = 36666666.6666667

STEP 3: Convert Result to Output's Unit

36666666.6666667 Pascal -->36.6666666666667 Megapascal (Check conversion here)

FINAL ANSWER

36.6666666666667 ≈ 36.66667 Megapascal <-- Horizontal Shearing Stress

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Timber Engineering » Timber Beams and Columns » Beams » Horizontal Shearing Stress in Rectangular Timber Beam

Credits

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

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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

Horizontal Shearing Stress in Rectangular Timber Beam Formula

Horizontal Shearing Stress = (3*Total Shear)/(2*Width of Beam*Depth of Beam)
H = (3*V)/(2*b*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 Horizontal Shearing Stress in Rectangular Timber Beam?

Horizontal Shearing Stress in Rectangular Timber Beam calculator uses Horizontal Shearing Stress = (3*Total Shear)/(2*Width of Beam*Depth of Beam) to calculate the Horizontal Shearing Stress, The Horizontal Shearing Stress in Rectangular Timber Beam formula is defined as the shear stress acting along the rectangular section on the top of the section. Horizontal Shearing Stress is denoted by H symbol.

How to calculate Horizontal Shearing Stress in Rectangular Timber Beam using this online calculator? To use this online calculator for Horizontal Shearing Stress in Rectangular Timber Beam, enter Total Shear (V), Width of Beam (b) & Depth of Beam (h) and hit the calculate button. Here is how the Horizontal Shearing Stress in Rectangular Timber Beam calculation can be explained with given input values -> 3.7E-5 = (3*660000)/(2*0.135*0.2).

FAQ

What is Horizontal Shearing Stress in Rectangular Timber Beam?

The Horizontal Shearing Stress in Rectangular Timber Beam formula is defined as the shear stress acting along the rectangular section on the top of the section and is represented as H = (3*V)/(2*b*h) or Horizontal Shearing Stress = (3*Total Shear)/(2*Width of Beam*Depth of Beam). Total Shear is defined as the total shear force acting on the body, 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 Horizontal Shearing Stress in Rectangular Timber Beam?

The Horizontal Shearing Stress in Rectangular Timber Beam formula is defined as the shear stress acting along the rectangular section on the top of the section is calculated using Horizontal Shearing Stress = (3*Total Shear)/(2*Width of Beam*Depth of Beam). To calculate Horizontal Shearing Stress in Rectangular Timber Beam, you need Total Shear (V), Width of Beam (b) & Depth of Beam (h). With our tool, you need to enter the respective value for Total Shear, 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 Horizontal Shearing Stress?

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

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

Home

FREE PDFs

🔍 Search