Shear Stress for Rectangular Section Calculator

✖Shear Force on Beam refers to the internal force that acts parallel to the cross-section of the beam is the result of external loads, reactions at supports, and the beam’s own weight.ⓘ Shear Force on Beam [V]			+10% -10%
✖Moment of inertia of area of section is a geometric property that measures how a cross-section’s area is distributed relative to an axis for predicting a beam’s resistance to bending and deflection.ⓘ Moment of Inertia of Area of Section [I]			+10% -10%
✖Depth of rectangular section is the vertical dimension of the cross-section of the beam helps in calculating various stresses and ensuring the structural integrity of the beam.ⓘ Depth of Rectangular Section [d]			+10% -10%
✖Distance from neutral axis in a beam is the perpendicular distance from the neutral axis to a specific point within the beam’s cross-section. It is an imaginary line where the bending stress is zero.ⓘ Distance from Neutral Axis [σ]			+10% -10%

✖Shear stress in beam is the internal stress that arises from the application of shear force and acts parallel to the cross-section of the beam.ⓘ Shear Stress for Rectangular Section [𝜏]

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Shear Stress for Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
𝜏 = V/(2*I)*(d^2/4-σ^2)
This formula uses 5 Variables

Variables Used

Shear Stress in Beam - (Measured in Pascal) - Shear stress in beam is the internal stress that arises from the application of shear force and acts parallel to the cross-section of the beam.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam refers to the internal force that acts parallel to the cross-section of the beam is the result of external loads, reactions at supports, and the beam’s own weight.
Moment of Inertia of Area of Section - (Measured in Meter⁴) - Moment of inertia of area of section is a geometric property that measures how a cross-section’s area is distributed relative to an axis for predicting a beam’s resistance to bending and deflection.
Depth of Rectangular Section - (Measured in Meter) - Depth of rectangular section is the vertical dimension of the cross-section of the beam helps in calculating various stresses and ensuring the structural integrity of the beam.
Distance from Neutral Axis - (Measured in Meter) - Distance from neutral axis in a beam is the perpendicular distance from the neutral axis to a specific point within the beam’s cross-section. It is an imaginary line where the bending stress is zero.

STEP 1: Convert Input(s) to Base Unit

Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (Check conversion here)
Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Depth of Rectangular Section: 285 Millimeter --> 0.285 Meter (Check conversion here)
Distance from Neutral Axis: 5 Millimeter --> 0.005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = V/(2*I)*(d^2/4-σ^2) --> 4800/(2*0.00168)*(0.285^2/4-0.005^2)

Evaluating ... ...

𝜏 = 28973.2142857143

STEP 3: Convert Result to Output's Unit

28973.2142857143 Pascal -->0.0289732142857143 Megapascal (Check conversion here)

FINAL ANSWER

0.0289732142857143 ≈ 0.028973 Megapascal <-- Shear Stress in Beam

(Calculation completed in 00.020 seconds)

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< Shear Stress in Rectangular Section Calculators

Shear Stress for Rectangular Section

LaTeX 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

LaTeX 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)

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

LaTeX Go Distance to 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

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

Shear Stress for Rectangular Section Formula

LaTeX 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)
𝜏 = V/(2*I)*(d^2/4-σ^2)

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 for Rectangular Section?

Shear Stress for Rectangular Section calculator uses 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) to calculate the Shear Stress in Beam, Shear Stress for Rectangular Section formula is defined as a measure of the internal resisting forces that occur within a rectangular beam when an external force is applied, causing deformation and stress distribution across the beam's cross-section. Shear Stress in Beam is denoted by 𝜏 symbol.

How to calculate Shear Stress for Rectangular Section using this online calculator? To use this online calculator for Shear Stress for Rectangular Section, enter Shear Force on Beam (V), Moment of Inertia of Area of Section (I), Depth of Rectangular Section (d) & Distance from Neutral Axis (σ) and hit the calculate button. Here is how the Shear Stress for Rectangular Section calculation can be explained with given input values -> 2.9E-8 = 4800/(2*0.00168)*(0.285^2/4-0.005^2).

FAQ

What is Shear Stress for Rectangular Section?

Shear Stress for Rectangular Section formula is defined as a measure of the internal resisting forces that occur within a rectangular beam when an external force is applied, causing deformation and stress distribution across the beam's cross-section and is represented as 𝜏 = V/(2*I)*(d^2/4-σ^2) or 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 on Beam refers to the internal force that acts parallel to the cross-section of the beam is the result of external loads, reactions at supports, and the beam’s own weight, Moment of inertia of area of section is a geometric property that measures how a cross-section’s area is distributed relative to an axis for predicting a beam’s resistance to bending and deflection, Depth of rectangular section is the vertical dimension of the cross-section of the beam helps in calculating various stresses and ensuring the structural integrity of the beam & Distance from neutral axis in a beam is the perpendicular distance from the neutral axis to a specific point within the beam’s cross-section. It is an imaginary line where the bending stress is zero.

How to calculate Shear Stress for Rectangular Section?

Shear Stress for Rectangular Section formula is defined as a measure of the internal resisting forces that occur within a rectangular beam when an external force is applied, causing deformation and stress distribution across the beam's cross-section is calculated using 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). To calculate Shear Stress for Rectangular Section, you need Shear Force on Beam (V), Moment of Inertia of Area of Section (I), Depth of Rectangular Section (d) & Distance from Neutral Axis (σ). With our tool, you need to enter the respective value for Shear Force on Beam, Moment of Inertia of Area of Section, Depth of Rectangular Section & Distance from Neutral Axis 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, Moment of Inertia of Area of Section, Depth of Rectangular Section & Distance from Neutral Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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