Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face 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 above Notch is the distance between beam and the notch.ⓘ Depth of Beam above Notch [d_notch]			+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 given Notch in Lower Face [H]

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Formula

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Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face

Formula

`"H" = ((3*"V")/(2*"b"*"d"_{"notch"}))*("h"/"d"_{"notch"})`

Example

`"38.57112MPa"=((3*"660000N")/(2*"135mm"*"195mm"))*("200.0mm"/"195mm")`

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Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Shearing Stress = ((3*Total Shear)/(2*Width of Beam*Depth of Beam above Notch))*(Depth of Beam/Depth of Beam above Notch)
H = ((3*V)/(2*b*d_notch))*(h/d_notch)
This formula uses 5 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 above Notch - (Measured in Meter) - Depth of Beam above Notch is the distance between beam and the notch.
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 above Notch: 195 Millimeter --> 0.195 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*d_notch))*(h/d_notch) --> ((3*660000)/(2*0.135*0.195))*(0.2/0.195)

Evaluating ... ...

H = 38571115.4941924

STEP 3: Convert Result to Output's Unit

38571115.4941924 Pascal -->38.5711154941924 Megapascal (Check conversion here)

FINAL ANSWER

38.5711154941924 ≈ 38.57112 Megapascal <-- Horizontal Shearing Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Timber Engineering » Timber Beams and Columns » Beams » Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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Osmania University (OU), Hyderabad

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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

Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face Formula

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

What is Horizontal Shearing Stress?

A shear also comes in two forms either vertical or horizontal. The first is called a horizontal shear as it leaves the y coordinate of each point alone, skewing the points horizontally.

How to Calculate Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face?

Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face calculator uses Horizontal Shearing Stress = ((3*Total Shear)/(2*Width of Beam*Depth of Beam above Notch))*(Depth of Beam/Depth of Beam above Notch) to calculate the Horizontal Shearing Stress, The Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face formula is defined as it calculates the shearing stress acting horizontally to the section. Horizontal Shearing Stress is denoted by H symbol.

How to calculate Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face using this online calculator? To use this online calculator for Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face, enter Total Shear (V), Width of Beam (b), Depth of Beam above Notch (d_notch) & Depth of Beam (h) and hit the calculate button. Here is how the Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face calculation can be explained with given input values -> 3.9E-5 = ((3*660000)/(2*0.135*0.195))*(0.2/0.195).

FAQ

What is Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face?

The Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face formula is defined as it calculates the shearing stress acting horizontally to the section and is represented as H = ((3*V)/(2*b*d_notch))*(h/d_notch) or Horizontal Shearing Stress = ((3*Total Shear)/(2*Width of Beam*Depth of Beam above Notch))*(Depth of Beam/Depth of Beam above Notch). 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 above Notch is the distance between beam and the notch & 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 given Notch in Lower Face?

The Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face formula is defined as it calculates the shearing stress acting horizontally to the section is calculated using Horizontal Shearing Stress = ((3*Total Shear)/(2*Width of Beam*Depth of Beam above Notch))*(Depth of Beam/Depth of Beam above Notch). To calculate Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face, you need Total Shear (V), Width of Beam (b), Depth of Beam above Notch (d_notch) & Depth of Beam (h). With our tool, you need to enter the respective value for Total Shear, Width of Beam, Depth of Beam above Notch & 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 above Notch & 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)

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