Average Longitudinal Shear Stress for Solid Circular Section Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere.ⓘ Radius of Circular Section [r]			+10% -10%

✖Average Shear Stress on a beam is the shear load divided by the area.ⓘ Average Longitudinal Shear Stress for Solid Circular Section [q_avg]

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Formula

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Average Longitudinal Shear Stress for Solid Circular Section

Formula

`"q"_{"avg"} = "V"/(pi*"r"^2)`

Example

`"0.18423MPa"="24.8kN"/(pi*("207mm")^2)`

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Average Longitudinal Shear Stress for Solid Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Shear Stress = Shear Force/(pi*Radius of Circular Section^2)
q_avg = V/(pi*r^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Average Shear Stress - (Measured in Pascal) - Average Shear Stress on a beam is the shear load divided by the area.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
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

Shear Force: 24.8 Kilonewton --> 24800 Newton (Check conversion here)
Radius of Circular Section: 207 Millimeter --> 0.207 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_avg = V/(pi*r^2) --> 24800/(pi*0.207^2)

Evaluating ... ...

q_avg = 184230.324566688

STEP 3: Convert Result to Output's Unit

184230.324566688 Pascal -->0.184230324566688 Megapascal (Check conversion here)

FINAL ANSWER

0.184230324566688 ≈ 0.18423 Megapascal <-- Average Shear Stress

(Calculation completed in 00.004 seconds)

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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

Average Longitudinal Shear Stress for Solid Circular Section Formula

Average Shear Stress = Shear Force/(pi*Radius of Circular Section^2)
q_avg = V/(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 Average Longitudinal Shear Stress for Solid Circular Section?

Average Longitudinal Shear Stress for Solid Circular Section calculator uses Average Shear Stress = Shear Force/(pi*Radius of Circular Section^2) to calculate the Average Shear Stress, The Average Longitudinal Shear Stress for Solid Circular Section formula is defined as average of all the calculated longitudinal shear stresses. Average Shear Stress is denoted by q_avg symbol.

How to calculate Average Longitudinal Shear Stress for Solid Circular Section using this online calculator? To use this online calculator for Average Longitudinal Shear Stress for Solid Circular Section, enter Shear Force (V) & Radius of Circular Section (r) and hit the calculate button. Here is how the Average Longitudinal Shear Stress for Solid Circular Section calculation can be explained with given input values -> 1.8E-7 = 24800/(pi*0.207^2).

FAQ

What is Average Longitudinal Shear Stress for Solid Circular Section?

The Average Longitudinal Shear Stress for Solid Circular Section formula is defined as average of all the calculated longitudinal shear stresses and is represented as q_avg = V/(pi*r^2) or Average Shear Stress = Shear Force/(pi*Radius of Circular Section^2). Shear Force is the force which causes shear deformation to occur in the shear plane & Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere.

How to calculate Average Longitudinal Shear Stress for Solid Circular Section?

The Average Longitudinal Shear Stress for Solid Circular Section formula is defined as average of all the calculated longitudinal shear stresses is calculated using Average Shear Stress = Shear Force/(pi*Radius of Circular Section^2). To calculate Average Longitudinal Shear Stress for Solid Circular Section, you need Shear Force (V) & Radius of Circular Section (r). With our tool, you need to enter the respective value for Shear Force & 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.

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