Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section Calculator

✖Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Shear Stress [τ_max]			+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%

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section [V]

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Formula

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Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section

Formula

`"V" = ("τ"_{"max"}*pi*"r"^2*3)/4`

Example

`"4240.344kN"=("42MPa"*pi*("207mm")^2*3)/4`

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

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force = (Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4
V = (τ_max*pi*r^2*3)/4
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.
Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small 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

Maximum Shear Stress: 42 Megapascal --> 42000000 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 = (τ_max*pi*r^2*3)/4 --> (42000000*pi*0.207^2*3)/4

Evaluating ... ...

V = 4240344.26383058

STEP 3: Convert Result to Output's Unit

4240344.26383058 Newton -->4240.34426383058 Kilonewton (Check conversion here)

FINAL ANSWER

4240.34426383058 ≈ 4240.344 Kilonewton <-- Shear Force

(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

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

Shear Force = (Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4
V = (τ_max*pi*r^2*3)/4

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 shear stress called the longitudinal (or horizontal) shear stress.

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

Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section calculator uses Shear Force = (Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4 to calculate the Shear Force, The Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as the shearing force that induced the stress. Shear Force is denoted by V symbol.

How to calculate Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section using this online calculator? To use this online calculator for Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section, enter Maximum Shear Stress (τ_max) & Radius of Circular Section (r) and hit the calculate button. Here is how the Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section calculation can be explained with given input values -> 4.240344 = (42000000*pi*0.207^2*3)/4.

FAQ

What is Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section?

The Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as the shearing force that induced the stress and is represented as V = (τ_max*pi*r^2*3)/4 or Shear Force = (Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4. Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small 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 Maximum Longitudinal Shear Stress for Solid Circular Section?

The Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as the shearing force that induced the stress is calculated using Shear Force = (Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4. To calculate Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section, you need Maximum Shear Stress (τ_max) & Radius of Circular Section (r). With our tool, you need to enter the respective value for Maximum 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 Maximum Shear Stress & Radius of Circular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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