Height 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%
✖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%
✖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 given Shear Stress at Neutral Axis [h_tri]

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Formula

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Height of Triangular Section given Shear Stress at Neutral Axis

Formula

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

Example

`"55.00008mm"=(8*"24.8kN")/(3*"32mm"*"37.5757MPa")`

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Height of Triangular Section given Shear Stress at Neutral Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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)
Shear Stress at Neutral Axis: 37.5757 Megapascal --> 37575700 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_tri = (8*V)/(3*b_tri*τ_NA) --> (8*24800)/(3*0.032*37575700)

Evaluating ... ...

h_tri = 0.0550000842743227

STEP 3: Convert Result to Output's Unit

0.0550000842743227 Meter -->55.0000842743227 Millimeter (Check conversion here)

FINAL ANSWER

55.0000842743227 ≈ 55.00008 Millimeter <-- Height of Triangular Section

(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

Height of Triangular Section given Shear Stress at Neutral Axis Formula

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

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 Height of Triangular Section given Shear Stress at Neutral Axis?

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

How to calculate Height of Triangular Section given Shear Stress at Neutral Axis using this online calculator? To use this online calculator for Height of Triangular Section given Shear Stress at Neutral Axis, enter Shear Force (V), Base of Triangular Section (b_tri) & Shear Stress at Neutral Axis (τ_NA) and hit the calculate button. Here is how the Height of Triangular Section given Shear Stress at Neutral Axis calculation can be explained with given input values -> 55000.08 = (8*24800)/(3*0.032*37575700).

FAQ

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

The Height of Triangular Section given Shear Stress at Neutral Axis is defined as height of triangular stress profile when shear stress at neutral axis of section is already provided and is represented as h_tri = (8*V)/(3*b_tri*τ_NA) or Height of Triangular Section = (8*Shear Force)/(3*Base of Triangular Section*Shear Stress at Neutral Axis). 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 & 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.

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

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

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

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

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