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
V = 2/3*𝜏*b*d
This formula uses 4 Variables
Variables Used
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.
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.
Beam Width at Considered Level - (Measured in Meter) - Beam width at considered level refers to the width of the beam’s cross-section at the point where shear stress or other forces are being analyzed.
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.
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
V = 2/3*𝜏*b*d --> 2/3*6000000*0.095*0.285
Evaluating ... ...
V = 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 00.020 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 Force Variation across Neutral Axis for Rectangular Section Formula

​LaTeX ​Go
Shear Force on Beam = 2/3*Shear Stress in Beam*Beam Width at Considered Level*Depth of Rectangular Section
V = 2/3*𝜏*b*d

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, Shear Force Variation across Neutral Axis for Rectangular Section formula is defined as a measure of the variation in shear force across the neutral axis of a rectangular section, which is essential in understanding the structural behavior of beams under load. Shear Force on Beam is denoted by V 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 Width at Considered Level (b) & Depth of Rectangular Section (d) 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?
Shear Force Variation across Neutral Axis for Rectangular Section formula is defined as a measure of the variation in shear force across the neutral axis of a rectangular section, which is essential in understanding the structural behavior of beams under load and is represented as V = 2/3*𝜏*b*d 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 the internal stress that arises from the application of shear force and acts parallel to the cross-section of the beam, Beam width at considered level refers to the width of the beam’s cross-section at the point where shear stress or other forces are being analyzed & 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.
How to calculate Shear Force Variation across Neutral Axis for Rectangular Section?
Shear Force Variation across Neutral Axis for Rectangular Section formula is defined as a measure of the variation in shear force across the neutral axis of a rectangular section, which is essential in understanding the structural behavior of beams under load 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 Width at Considered Level (b) & Depth of Rectangular Section (d). 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)
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