Shear Stress Variation across Neutral Axis for Rectangular Section Calculator

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

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Shear Stress Variation across Neutral Axis for Rectangular Section

Formula

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

Example

`"0.265928MPa"=3/2*"4.8kN"/("95mm"*"285mm")`

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Shear Stress Variation across Neutral Axis for Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
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 Force on Beam: 4.8 Kilonewton --> 4800 Newton (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

𝜏_beam = 3/2*F_s/(w*d_rec) --> 3/2*4800/(0.095*0.285)

Evaluating ... ...

𝜏_beam = 265927.977839335

STEP 3: Convert Result to Output's Unit

265927.977839335 Pascal -->0.265927977839335 Megapascal (Check conversion here)

FINAL ANSWER

0.265927977839335 ≈ 0.265928 Megapascal <-- Shear Stress in Beam

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 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 Stress Variation across Neutral Axis for Rectangular Section Formula

Shear Stress in Beam = 3/2*Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section)
𝜏_beam = 3/2*F_s/(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 Stress Variation across Neutral Axis for Rectangular Section?

Shear Stress Variation across Neutral Axis for Rectangular Section calculator uses Shear Stress in Beam = 3/2*Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section) to calculate the Shear Stress in Beam, The Shear stress variation across neutral axis for rectangular section formula is defined as force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear Stress in Beam is denoted by 𝜏_beam symbol.

How to calculate Shear Stress Variation across Neutral Axis for Rectangular Section using this online calculator? To use this online calculator for Shear Stress Variation across Neutral Axis for Rectangular Section, enter Shear Force on Beam (F_s), Beam Width at Considered Level (w) & Depth of Rectangular Section (d_rec) and hit the calculate button. Here is how the Shear Stress Variation across Neutral Axis for Rectangular Section calculation can be explained with given input values -> 2.7E-7 = 3/2*4800/(0.095*0.285).

FAQ

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

The Shear stress variation across neutral axis for rectangular section formula is defined as force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as 𝜏_beam = 3/2*F_s/(w*d_rec) or Shear Stress in Beam = 3/2*Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section). Shear Force on Beam is the force which causes shear deformation to occur in the shear plane, 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 Stress Variation across Neutral Axis for Rectangular Section?

The Shear stress variation across neutral axis for rectangular section formula is defined as force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress is calculated using Shear Stress in Beam = 3/2*Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section). To calculate Shear Stress Variation across Neutral Axis for Rectangular Section, you need Shear Force on Beam (F_s), Beam Width at Considered Level (w) & Depth of Rectangular Section (d_rec). With our tool, you need to enter the respective value for Shear Force on 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 Stress in Beam?

In this formula, Shear Stress in Beam uses Shear Force on 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 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)

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