Linear Shear Stress Distribution in Beams Calculator

✖Shear Force on Beam is the internal force that occurs in a beam when it is subjected to transverse loading, causing deformation and stress.ⓘ Shear Force on Beam [F]			+10% -10%
✖Breadth of Rectangular Beam is the horizontal distance of a rectangular beam's cross-section, perpendicular to its length, in bending beam applications.ⓘ Breadth of Rectangular Beam [b]			+10% -10%
✖Depth of Rectangular Beam is the vertical distance from the neutral axis to the bottom of the beam, used to calculate bending stresses and moments.ⓘ Depth of Rectangular Beam [d]			+10% -10%

✖Linear Shear Stress distribution in Beams is the stress that occurs in beams due to the bending force, causing deformation and affecting the beam's structural integrity.ⓘ Linear Shear Stress Distribution in Beams [ζ_linear]

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Linear Shear Stress Distribution in Beams Solution

STEP 0: Pre-Calculation Summary

Formula Used

Linear Shear Stress distribution in Beams = (3*Shear Force on Beam)/(2*Breadth of Rectangular Beam*Depth of Rectangular Beam)
ζ_linear = (3*F)/(2*b*d)
This formula uses 4 Variables

Variables Used

Linear Shear Stress distribution in Beams - (Measured in Pascal) - Linear Shear Stress distribution in Beams is the stress that occurs in beams due to the bending force, causing deformation and affecting the beam's structural integrity.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the internal force that occurs in a beam when it is subjected to transverse loading, causing deformation and stress.
Breadth of Rectangular Beam - (Measured in Meter) - Breadth of Rectangular Beam is the horizontal distance of a rectangular beam's cross-section, perpendicular to its length, in bending beam applications.
Depth of Rectangular Beam - (Measured in Meter) - Depth of Rectangular Beam is the vertical distance from the neutral axis to the bottom of the beam, used to calculate bending stresses and moments.

STEP 1: Convert Input(s) to Base Unit

Shear Force on Beam: 50000000 Kilogram-Force --> 490332499.999965 Newton (Check conversion here)
Breadth of Rectangular Beam: 80 Millimeter --> 0.08 Meter (Check conversion here)
Depth of Rectangular Beam: 20 Millimeter --> 0.02 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ_linear = (3*F)/(2*b*d) --> (3*490332499.999965)/(2*0.08*0.02)

Evaluating ... ...

ζ_linear = 459686718749.967

STEP 3: Convert Result to Output's Unit

459686718749.967 Pascal -->459686.718749967 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

459686.718749967 ≈ 459686.7 Newton per Square Millimeter <-- Linear Shear Stress distribution in Beams

(Calculation completed in 00.020 seconds)

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< Shear Stress Distribution in Beams Calculators

Shear Stress Distribution in Beams

LaTeX Go Shear Stress distribution in Beams = Shear Force on Beam/Nth Moment of Inertia*(((Depth of Rectangular Beam/2)^(Material Constant+1)-Depth Yielded Plastically^(Material Constant+1))/(Material Constant+1))

Linear Shear Stress Distribution in Beams

LaTeX Go Linear Shear Stress distribution in Beams = (3*Shear Force on Beam)/(2*Breadth of Rectangular Beam*Depth of Rectangular Beam)

Linear Shear Stress Distribution in Beams Formula

LaTeX Go

Linear Shear Stress distribution in Beams = (3*Shear Force on Beam)/(2*Breadth of Rectangular Beam*Depth of Rectangular Beam)
ζ_linear = (3*F)/(2*b*d)

What is the Effect of Shear Stress on Beam?

Shear stress in a beam affects its structural integrity and load-bearing capacity. As shear stress acts parallel to the cross-section, it causes internal forces that can lead to deformation or even failure if excessive. In rectangular and I-beams, shear stress is highest near the center and decreases toward the edges. This distribution can cause shear distortion, especially in shorter, thicker beams, which can lead to horizontal cracking or shear failure. Engineers must consider shear stress in beam design to ensure stability and prevent material fatigue or unexpected failure under load.

How to Calculate Linear Shear Stress Distribution in Beams?

Linear Shear Stress Distribution in Beams calculator uses Linear Shear Stress distribution in Beams = (3*Shear Force on Beam)/(2*Breadth of Rectangular Beam*Depth of Rectangular Beam) to calculate the Linear Shear Stress distribution in Beams, Linear Shear Stress Distribution in Beams formula is defined as a measure of the distribution of shear stress across the cross-section of a beam, which is essential in understanding the behavior of beams under bending loads, particularly in determining the maximum shear stress that a beam can withstand. Linear Shear Stress distribution in Beams is denoted by ζ_linear symbol.

How to calculate Linear Shear Stress Distribution in Beams using this online calculator? To use this online calculator for Linear Shear Stress Distribution in Beams, enter Shear Force on Beam (F), Breadth of Rectangular Beam (b) & Depth of Rectangular Beam (d) and hit the calculate button. Here is how the Linear Shear Stress Distribution in Beams calculation can be explained with given input values -> 0.459687 = (3*490332499.999965)/(2*0.08*0.02).

FAQ

What is Linear Shear Stress Distribution in Beams?

Linear Shear Stress Distribution in Beams formula is defined as a measure of the distribution of shear stress across the cross-section of a beam, which is essential in understanding the behavior of beams under bending loads, particularly in determining the maximum shear stress that a beam can withstand and is represented as ζ_linear = (3*F)/(2*b*d) or Linear Shear Stress distribution in Beams = (3*Shear Force on Beam)/(2*Breadth of Rectangular Beam*Depth of Rectangular Beam). Shear Force on Beam is the internal force that occurs in a beam when it is subjected to transverse loading, causing deformation and stress, Breadth of Rectangular Beam is the horizontal distance of a rectangular beam's cross-section, perpendicular to its length, in bending beam applications & Depth of Rectangular Beam is the vertical distance from the neutral axis to the bottom of the beam, used to calculate bending stresses and moments.

How to calculate Linear Shear Stress Distribution in Beams?

Linear Shear Stress Distribution in Beams formula is defined as a measure of the distribution of shear stress across the cross-section of a beam, which is essential in understanding the behavior of beams under bending loads, particularly in determining the maximum shear stress that a beam can withstand is calculated using Linear Shear Stress distribution in Beams = (3*Shear Force on Beam)/(2*Breadth of Rectangular Beam*Depth of Rectangular Beam). To calculate Linear Shear Stress Distribution in Beams, you need Shear Force on Beam (F), Breadth of Rectangular Beam (b) & Depth of Rectangular Beam (d). With our tool, you need to enter the respective value for Shear Force on Beam, Breadth of Rectangular Beam & Depth of Rectangular Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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