Shear Stress at Neutral Axis in Triangular Section Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖The Base of Triangular Section is the side that is perpendicular to the height of a triangle.ⓘ Base of Triangular Section [b_tri]			+10% -10%
✖The Height of Triangular Section is the perpendicular drawn from the vertex of the triangle to the opposite side.ⓘ Height of Triangular Section [h_tri]			+10% -10%

✖Shear Stress at Neutral Axis is the force tending to cause the deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress at Neutral Axis in Triangular Section [τ_NA]

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Formula

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Shear Stress at Neutral Axis in Triangular Section

Formula

`"τ"_{"NA"} = (8*"V")/(3*"b"_{"tri"}*"h"_{"tri"})`

Example

`"36.90476MPa"=(8*"24.8kN")/(3*"32mm"*"56mm")`

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Shear Stress at Neutral Axis in Triangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress at Neutral Axis = (8*Shear Force)/(3*Base of Triangular Section*Height of Triangular Section)
τ_NA = (8*V)/(3*b_tri*h_tri)
This formula uses 4 Variables

Variables Used

Shear Stress at Neutral Axis - (Measured in Pascal) - Shear Stress at Neutral Axis is the force tending to cause the deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Base of Triangular Section - (Measured in Meter) - The Base of Triangular Section is the side that is perpendicular to the height of a triangle.
Height of Triangular Section - (Measured in Meter) - The Height of Triangular Section is the perpendicular drawn from the vertex of the triangle to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 24.8 Kilonewton --> 24800 Newton (Check conversion here)
Base of Triangular Section: 32 Millimeter --> 0.032 Meter (Check conversion here)
Height of Triangular Section: 56 Millimeter --> 0.056 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_NA = (8*V)/(3*b_tri*h_tri) --> (8*24800)/(3*0.032*0.056)

Evaluating ... ...

τ_NA = 36904761.9047619

STEP 3: Convert Result to Output's Unit

36904761.9047619 Pascal -->36.9047619047619 Megapascal (Check conversion here)

FINAL ANSWER

36.9047619047619 ≈ 36.90476 Megapascal <-- Shear Stress at Neutral Axis

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 8 Maximum Stress of a Triangular Section Calculators

Height of Triangular Section given Shear Stress at Neutral Axis

Go Height of Triangular Section = (8*Shear Force)/(3*Base of Triangular Section*Shear Stress at Neutral Axis)

Base of Triangular Section given Shear Stress at Neutral Axis

Go Base of Triangular Section = (8*Shear Force)/(3*Shear Stress at Neutral Axis*Height of Triangular Section)

Shear Stress at Neutral Axis in Triangular Section

Go Shear Stress at Neutral Axis = (8*Shear Force)/(3*Base of Triangular Section*Height of Triangular Section)

Transverse Shear Force of Triangular Section given Shear Stress at Neutral Axis

Go Shear Force = (3*Base of Triangular Section*Height of Triangular Section*Shear Stress at Neutral Axis)/8

Height of Triangular Section given Maximum Shear Stress

Go Height of Triangular Section = (3*Shear Force)/(Base of Triangular Section*Maximum Shear Stress)

Base of Triangular Section given Maximum Shear Stress

Go Base of Triangular Section = (3*Shear Force)/(Maximum Shear Stress*Height of Triangular Section)

Maximum Shear Stress of Triangular Section

Go Maximum Shear Stress = (3*Shear Force)/(Base of Triangular Section*Height of Triangular Section)

Transverse Shear Force of Triangular Section given Maximum Shear Stress

Go Shear Force = (Height of Triangular Section*Base of Triangular Section*Maximum Shear Stress)/3

Shear Stress at Neutral Axis in Triangular Section Formula

Shear Stress at Neutral Axis = (8*Shear Force)/(3*Base of Triangular Section*Height of Triangular Section)
τ_NA = (8*V)/(3*b_tri*h_tri)

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 Shear Stress at Neutral Axis in Triangular Section?

Shear Stress at Neutral Axis in Triangular Section calculator uses Shear Stress at Neutral Axis = (8*Shear Force)/(3*Base of Triangular Section*Height of Triangular Section) to calculate the Shear Stress at Neutral Axis, The Shear Stress at Neutral Axis in Triangular Section formula is defined as maximum of all calculated longitudinal shear stresses. Shear Stress at Neutral Axis is denoted by τ_NA symbol.

How to calculate Shear Stress at Neutral Axis in Triangular Section using this online calculator? To use this online calculator for Shear Stress at Neutral Axis in Triangular Section, enter Shear Force (V), Base of Triangular Section (b_tri) & Height of Triangular Section (h_tri) and hit the calculate button. Here is how the Shear Stress at Neutral Axis in Triangular Section calculation can be explained with given input values -> 3.8E-5 = (8*24800)/(3*0.032*0.056).

FAQ

What is Shear Stress at Neutral Axis in Triangular Section?

The Shear Stress at Neutral Axis in Triangular Section formula is defined as maximum of all calculated longitudinal shear stresses and is represented as τ_NA = (8*V)/(3*b_tri*h_tri) or Shear Stress at Neutral Axis = (8*Shear Force)/(3*Base of Triangular Section*Height of Triangular Section). Shear Force is the force which causes shear deformation to occur in the shear plane, The Base of Triangular Section is the side that is perpendicular to the height of a triangle & The Height of Triangular Section is the perpendicular drawn from the vertex of the triangle to the opposite side.

How to calculate Shear Stress at Neutral Axis in Triangular Section?

The Shear Stress at Neutral Axis in Triangular Section formula is defined as maximum of all calculated longitudinal shear stresses is calculated using Shear Stress at Neutral Axis = (8*Shear Force)/(3*Base of Triangular Section*Height of Triangular Section). To calculate Shear Stress at Neutral Axis in Triangular Section, you need Shear Force (V), Base of Triangular Section (b_tri) & Height of Triangular Section (h_tri). With our tool, you need to enter the respective value for Shear Force, Base of Triangular Section & Height of Triangular 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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