Shear Force Variation across Neutral Axis for Rectangular Section Calculator

✖Shear Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Beam [𝜏_beam]			+10% -10%
✖Beam Width at Considered Level is the description of how wide the beam is at that level.ⓘ Beam Width at Considered Level [w]			+10% -10%
✖Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.ⓘ Depth of Rectangular Section [d_rec]			+10% -10%

✖Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force Variation across Neutral Axis for Rectangular Section [F_s]

⎘ Copy

👎

Formula

✖

Shear Force Variation across Neutral Axis for Rectangular Section

Formula

`"F"_{"s"} = 2/3*"𝜏"_{"beam"}*"w"*"d"_{"rec"}`

Example

`"108.3kN"=2/3*"6MPa"*"95mm"*"285mm"`

Calculator

LaTeX

Reset

👍

Download Shear Stress in Rectangular Section Formulas PDF

Shear Force Variation across Neutral Axis for Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force on Beam = 2/3*Shear Stress in Beam*Beam Width at Considered Level*Depth of Rectangular Section
F_s = 2/3*𝜏_beam*w*d_rec
This formula uses 4 Variables

Variables Used

Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
Shear Stress in Beam - (Measured in Pascal) - Shear Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Beam Width at Considered Level - (Measured in Meter) - Beam Width at Considered Level is the description of how wide the beam is at that level.
Depth of Rectangular Section - (Measured in Meter) - Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Beam: 6 Megapascal --> 6000000 Pascal (Check conversion here)
Beam Width at Considered Level: 95 Millimeter --> 0.095 Meter (Check conversion here)
Depth of Rectangular Section: 285 Millimeter --> 0.285 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = 2/3*𝜏_beam*w*d_rec --> 2/3*6000000*0.095*0.285

Evaluating ... ...

F_s = 108300

STEP 3: Convert Result to Output's Unit

108300 Newton -->108.3 Kilonewton (Check conversion here)

FINAL ANSWER

108.3 Kilonewton <-- Shear Force on Beam

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Shear Stress In Beam » Shear Stress Distribution for Different Sections » Shear Stress in Rectangular Section » Shear Force Variation across Neutral Axis for Rectangular Section

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has verified this Calculator and 400+ more calculators!

< 10+ Shear Stress in Rectangular Section Calculators

Moment of Inertia of Rectangular Section about Neutral Axis

Go Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)

Shear Stress for Rectangular Section

Go Shear Stress in Beam = Shear Force on Beam/(2*Moment of Inertia of Area of Section)*(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)

Shear Force for Rectangular Section

Go Shear Force on Beam = (2*Moment of Inertia of Area of Section*Shear Stress in Beam)/(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)

Average Shear Stress for Rectangular Section

Go Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section)

Shear Stress Variation across Neutral Axis for Rectangular Section

Go Shear Stress in Beam = 3/2*Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section)

Shear Force Variation across Neutral Axis for Rectangular Section

Go Shear Force on Beam = 2/3*Shear Stress in Beam*Beam Width at Considered Level*Depth of Rectangular Section

Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section

Go Distance of CG of Area from NA = 1/2*(Distance from Neutral Axis+Depth of Rectangular Section/2)

Distance of Considered Level from Neutral Axis for Rectangular Section

Go Distance from Neutral Axis = 2*(Distance of CG of Area from NA-Depth of Rectangular Section/4)

Average Shear Stress given Maximum Shear Stress for Rectangular Section

Go Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam

Maximum Shear Stress for Rectangular Section

Go Maximum Shear Stress on Beam = 3/2*Average Shear Stress on Beam

Shear Force Variation across Neutral Axis for Rectangular Section Formula

Shear Force on Beam = 2/3*Shear Stress in Beam*Beam Width at Considered Level*Depth of Rectangular Section
F_s = 2/3*𝜏_beam*w*d_rec

In which section maximum shear stress position is not at the neutral axis of section?

Nevertheless, the maximum shear stress does not always occur at the neutral axis. For instance, in the case of a cross section having nonparallel sides, such as a triangular section, the maximum value of Q/b (and thus τxy) occurs at mid height, h/2, while the neutral axis is located at a distance h/3 from the base.

How to Calculate Shear Force Variation across Neutral Axis for Rectangular Section?

Shear Force Variation across Neutral Axis for Rectangular Section calculator uses Shear Force on Beam = 2/3*Shear Stress in Beam*Beam Width at Considered Level*Depth of Rectangular Section to calculate the Shear Force on Beam, The Shear force variation across neutral axis for rectangular section formula is defined as a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction. Shear Force on Beam is denoted by F_s symbol.

How to calculate Shear Force Variation across Neutral Axis for Rectangular Section using this online calculator? To use this online calculator for Shear Force Variation across Neutral Axis for Rectangular Section, enter Shear Stress in Beam (𝜏_beam), Beam Width at Considered Level (w) & Depth of Rectangular Section (d_rec) and hit the calculate button. Here is how the Shear Force Variation across Neutral Axis for Rectangular Section calculation can be explained with given input values -> 0.1083 = 2/3*6000000*0.095*0.285.

FAQ

What is Shear Force Variation across Neutral Axis for Rectangular Section?

The Shear force variation across neutral axis for rectangular section formula is defined as a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction and is represented as F_s = 2/3*𝜏_beam*w*d_rec or Shear Force on Beam = 2/3*Shear Stress in Beam*Beam Width at Considered Level*Depth of Rectangular Section. Shear Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Beam Width at Considered Level is the description of how wide the beam is at that level & Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.

How to calculate Shear Force Variation across Neutral Axis for Rectangular Section?

The Shear force variation across neutral axis for rectangular section formula is defined as a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction is calculated using Shear Force on Beam = 2/3*Shear Stress in Beam*Beam Width at Considered Level*Depth of Rectangular Section. To calculate Shear Force Variation across Neutral Axis for Rectangular Section, you need Shear Stress in Beam (𝜏_beam), Beam Width at Considered Level (w) & Depth of Rectangular Section (d_rec). With our tool, you need to enter the respective value for Shear Stress in Beam, Beam Width at Considered Level & Depth of Rectangular Section 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 Shear Force on Beam?

In this formula, Shear Force on Beam uses Shear Stress in Beam, Beam Width at Considered Level & Depth of Rectangular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Force on Beam = (2*Moment of Inertia of Area of Section*Shear Stress in Beam)/(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)

Home

FREE PDFs

🔍 Search