Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Force = Average Shear Stress*pi*Radius of Circular Section^2
V = qavg*pi*r^2
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Average Shear Stress - (Measured in Pascal) - Average Shear Stress on a beam is the shear load divided by the area.
Radius of Circular Section - (Measured in Meter) - Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere.
STEP 1: Convert Input(s) to Base Unit
Average Shear Stress: 0.1837 Megapascal --> 183700 Pascal (Check conversion here)
Radius of Circular Section: 207 Millimeter --> 0.207 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = qavg*pi*r^2 --> 183700*pi*0.207^2
Evaluating ... ...
V = 24728.610833831
STEP 3: Convert Result to Output's Unit
24728.610833831 Newton -->24.728610833831 Kilonewton (Check conversion here)
FINAL ANSWER
24.728610833831 24.72861 Kilonewton <-- Shear Force
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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6 Longitudinal Shear Stress for Solid Circular Section Calculators

Radius given Maximum Longitudinal Shear Stress for Solid Circular Section
Go Radius of Circular Section = sqrt((4*Shear Force)/(3*pi*Maximum Longitudinal Shear Stress))
Radius given Average Longitudinal Shear Stress for Solid Circular Section
Go Radius of Circular Section = sqrt(Shear Force/(pi*Average Shear Stress))
Maximum Longitudinal Shear Stress for Solid Circular Section
Go Maximum Longitudinal Shear Stress = (4*Shear Force)/(3*pi*Radius of Circular Section^2)
Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section
Go Shear Force = (Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4
Average Longitudinal Shear Stress for Solid Circular Section
Go Average Shear Stress = Shear Force/(pi*Radius of Circular Section^2)
Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section
Go Shear Force = Average Shear Stress*pi*Radius of Circular Section^2

Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section Formula

Shear Force = Average Shear Stress*pi*Radius of Circular Section^2
V = qavg*pi*r^2

What is Longitudinal Shear Stress?

The longitudinal shear stress in a beam occurs along the longitudinal axis and is visualized by a slip in the layers of the beam. In addition to the transverse shear force, a longitudinal shear force also exists in the beam. This load produces a shear stress called the longitudinal (or horizontal) shear stress.

How to Calculate Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section?

Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section calculator uses Shear Force = Average Shear Stress*pi*Radius of Circular Section^2 to calculate the Shear Force, Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section formula is defined as shearing force that induced stress. Shear Force is denoted by V symbol.

How to calculate Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section using this online calculator? To use this online calculator for Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section, enter Average Shear Stress (qavg) & Radius of Circular Section (r) and hit the calculate button. Here is how the Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section calculation can be explained with given input values -> 0.024729 = 183700*pi*0.207^2.

FAQ

What is Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section?
Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section formula is defined as shearing force that induced stress and is represented as V = qavg*pi*r^2 or Shear Force = Average Shear Stress*pi*Radius of Circular Section^2. Average Shear Stress on a beam is the shear load divided by the area & Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere.
How to calculate Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section?
Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section formula is defined as shearing force that induced stress is calculated using Shear Force = Average Shear Stress*pi*Radius of Circular Section^2. To calculate Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section, you need Average Shear Stress (qavg) & Radius of Circular Section (r). With our tool, you need to enter the respective value for Average Shear Stress & Radius of Circular 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?
In this formula, Shear Force uses Average Shear Stress & Radius of Circular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Shear Force = (Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4
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