Base of Triangular Section given Shear Stress at Neutral Axis Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+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 [τ_NA]			+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%

✖The Base of Triangular Section is the side that is perpendicular to the height of a triangle.ⓘ Base of Triangular Section given Shear Stress at Neutral Axis [b_tri]

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Formula

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Base of Triangular Section given Shear Stress at Neutral Axis

Formula

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

Example

`"31.42862mm"=(8*"24.8kN")/(3*"37.5757MPa"*"56mm")`

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Base of Triangular Section given Shear Stress at Neutral Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Base of Triangular Section - (Measured in Meter) - The Base of Triangular Section is the side that is perpendicular to the height of a triangle.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
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.
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)
Shear Stress at Neutral Axis: 37.5757 Megapascal --> 37575700 Pascal (Check conversion here)
Height of Triangular Section: 56 Millimeter --> 0.056 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_tri = (8*V)/(3*τ_NA*h_tri) --> (8*24800)/(3*37575700*0.056)

Evaluating ... ...

b_tri = 0.0314286195853272

STEP 3: Convert Result to Output's Unit

0.0314286195853272 Meter -->31.4286195853272 Millimeter (Check conversion here)

FINAL ANSWER

31.4286195853272 ≈ 31.42862 Millimeter <-- Base of Triangular Section

(Calculation completed in 00.007 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

Base of Triangular Section given Shear Stress at Neutral Axis Formula

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

Base of Triangular Section given Shear Stress at Neutral Axis calculator uses Base of Triangular Section = (8*Shear Force)/(3*Shear Stress at Neutral Axis*Height of Triangular Section) to calculate the Base of Triangular Section, The Base of Triangular Section given Shear Stress at Neutral Axis is defined as base of triangular stress profile of any section when shear stress at neutral axis of profile is already provided. Base of Triangular Section is denoted by b_tri symbol.

How to calculate Base of Triangular Section given Shear Stress at Neutral Axis using this online calculator? To use this online calculator for Base of Triangular Section given Shear Stress at Neutral Axis, enter Shear Force (V), Shear Stress at Neutral Axis (τ_NA) & Height of Triangular Section (h_tri) and hit the calculate button. Here is how the Base of Triangular Section given Shear Stress at Neutral Axis calculation can be explained with given input values -> 32000.05 = (8*24800)/(3*37575700*0.056).

FAQ

What is Base of Triangular Section given Shear Stress at Neutral Axis?

The Base of Triangular Section given Shear Stress at Neutral Axis is defined as base of triangular stress profile of any section when shear stress at neutral axis of profile is already provided and is represented as b_tri = (8*V)/(3*τ_NA*h_tri) or Base of Triangular Section = (8*Shear Force)/(3*Shear Stress at Neutral Axis*Height of Triangular Section). Shear Force is the force which causes shear deformation to occur in the shear plane, 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 & The Height of Triangular Section is the perpendicular drawn from the vertex of the triangle to the opposite side.

How to calculate Base of Triangular Section given Shear Stress at Neutral Axis?

The Base of Triangular Section given Shear Stress at Neutral Axis is defined as base of triangular stress profile of any section when shear stress at neutral axis of profile is already provided is calculated using Base of Triangular Section = (8*Shear Force)/(3*Shear Stress at Neutral Axis*Height of Triangular Section). To calculate Base of Triangular Section given Shear Stress at Neutral Axis, you need Shear Force (V), Shear Stress at Neutral Axis (τ_NA) & Height of Triangular Section (h_tri). With our tool, you need to enter the respective value for Shear Force, Shear Stress at Neutral Axis & 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.

How many ways are there to calculate Base of Triangular Section?

In this formula, Base of Triangular Section uses Shear Force, Shear Stress at Neutral Axis & Height of Triangular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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