Beam Depth given Horizontal Shearing Stress 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%
✖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%

✖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.ⓘ Beam Depth given Horizontal Shearing Stress [h]

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Beam Depth given Horizontal Shearing Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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
Width of Beam: 135 Millimeter --> 0.135 Meter (Check conversion here)
Horizontal Shearing Stress: 36.67 Megapascal --> 36670000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (3*V)/(2*b*H) --> (3*660000)/(2*0.135*36670000)

Evaluating ... ...

h = 0.19998181983456

STEP 3: Convert Result to Output's Unit

0.19998181983456 Meter -->199.98181983456 Millimeter (Check conversion here)

FINAL ANSWER

199.98181983456 ≈ 199.9818 Millimeter <-- Depth 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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< Beams Calculators

Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam

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

Extreme Fiber Stress in Bending for Rectangular Timber Beam

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

Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus

LaTeX Go Maximum Fiber Stress = Bending Moment/Section Modulus

Section Modulus given Height and Breadth of Section

LaTeX Go Section Modulus = (Width of Beam*Depth of Beam^2)/6

Beam Depth given Horizontal Shearing Stress Formula

LaTeX Go

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

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

How to calculate Beam Depth given Horizontal Shearing Stress using this online calculator? To use this online calculator for Beam Depth given Horizontal Shearing Stress, enter Total Shear (V), Width of Beam (b) & Horizontal Shearing Stress (H) and hit the calculate button. Here is how the Beam Depth given Horizontal Shearing Stress calculation can be explained with given input values -> 199981.8 = (3*660000)/(2*0.135*36670000).

FAQ

What is Beam Depth given Horizontal Shearing Stress?

The Beam Depth given Horizontal Shearing Stress is defined as the height of the beam in a given section when horizontal shearing stress is induced and is represented as h = (3*V)/(2*b*H) or Depth of Beam = (3*Total Shear)/(2*Width of Beam*Horizontal Shearing Stress). 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 & 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 Depth given Horizontal Shearing Stress?

The Beam Depth given Horizontal Shearing Stress is defined as the height of the beam in a given section when horizontal shearing stress is induced is calculated using Depth of Beam = (3*Total Shear)/(2*Width of Beam*Horizontal Shearing Stress). To calculate Beam Depth given Horizontal Shearing Stress, you need Total Shear (V), Width of Beam (b) & Horizontal Shearing Stress (H). With our tool, you need to enter the respective value for Total Shear, Width 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 Depth of Beam?

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

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

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