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Height of Triangular Section given Shear Stress at Neutral Axis Formula

GoHeight of Triangular Section given Maximum Shear Stress Formula

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The Height of Triangular Section is the perpendicular drawn from the vertex of the triangle to the opposite side. Check FAQs

h tri = \frac{8 \cdot V}{3 \cdot b tri \cdot τ NA}

h_tri - Height of Triangular Section?V - Shear Force?b_tri - Base of Triangular Section?τ_NA - Shear Stress at Neutral Axis?

Height of Triangular Section given Shear Stress at Neutral Axis Example

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Here is how the Height of Triangular Section given Shear Stress at Neutral Axis equation looks like with Values.

Here is how the Height of Triangular Section given Shear Stress at Neutral Axis equation looks like with Units.

Here is how the Height of Triangular Section given Shear Stress at Neutral Axis equation looks like.

55.0001 = \frac{8 \cdot 24.8}{3 \cdot 32 \cdot 37.5757}

55.0001mm = \frac{8 \cdot 24.8kN}{3 \cdot 32mm \cdot 37.5757MPa}

55.0001 = \frac{8 \cdot 24.8}{3 \cdot 32 \cdot 37.5757}

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Height of Triangular Section given Shear Stress at Neutral Axis Solution

Follow our step by step solution on how to calculate Height of Triangular Section given Shear Stress at Neutral Axis?

FIRST Step Consider the formula

h tri = \frac{8 \cdot V}{3 \cdot b tri \cdot τ NA}

Next Step Substitute values of Variables

∴

h tri = \frac{8 \cdot 24.8kN}{3 \cdot 32mm \cdot 37.5757MPa}

Next Step Convert Units

∴

h tri = \frac{8 \cdot 24800N}{3 \cdot 0.032m \cdot 3.8E+7Pa}

Next Step Prepare to Evaluate

∴

h tri = \frac{8 \cdot 24800}{3 \cdot 0.032 \cdot 3.8E+7}

Next Step Evaluate

∴

h tri = 0.0550000842743227m

Next Step Convert to Output's Unit

∴

h tri = 55.0000842743227mm

LAST Step Rounding Answer

∴

h tri = 55.0001mm

Height of Triangular Section given Shear Stress at Neutral Axis Formula Elements

Variables

Height of Triangular Section

The Height of Triangular Section is the perpendicular drawn from the vertex of the triangle to the opposite side.

Symbol: h_tri

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Triangular Section

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: V

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Force

Base of Triangular Section

The Base of Triangular Section is the side that is perpendicular to the height of a triangle.

Symbol: b_tri

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Base of Triangular Section

Shear Stress at Neutral Axis

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.

Symbol: τ_NA

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress at Neutral Axis

Other Formulas to find Height of Triangular Section

Go Height of Triangular Section given Maximum Shear Stress

h tri = \frac{3 \cdot V}{b tri \cdot τ max}

Other formulas in Maximum Stress of a Triangular Section category

Go Maximum Shear Stress of Triangular Section

τ max = \frac{3 \cdot V}{b tri \cdot h tri}

Go Transverse Shear Force of Triangular Section given Maximum Shear Stress

V = \frac{h tri \cdot b tri \cdot τ max}{3}

Go Base of Triangular Section given Maximum Shear Stress

b tri = \frac{3 \cdot V}{τ max \cdot h tri}

Go Base of Triangular Section given Shear Stress at Neutral Axis

b tri = \frac{8 \cdot V}{3 \cdot τ NA \cdot h tri}

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

Height of Triangular Section given Shear Stress at Neutral Axis evaluator uses Height of Triangular Section = (8*Shear Force)/(3*Base of Triangular Section*Shear Stress at Neutral Axis) to evaluate 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 evaluate Height of Triangular Section given Shear Stress at Neutral Axis using this online evaluator? To use this online evaluator 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.

FAQs on Height of Triangular Section given Shear Stress at Neutral Axis

What is the formula to find Height of Triangular Section given Shear Stress at Neutral Axis?

The formula of Height of Triangular Section given Shear Stress at Neutral Axis is expressed as Height of Triangular Section = (8*Shear Force)/(3*Base of Triangular Section*Shear Stress at Neutral Axis). Here is an example- 55000.08 = (8*24800)/(3*0.032*37575700).

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

With Shear Force (V), Base of Triangular Section (b_tri) & Shear Stress at Neutral Axis (τ_NA) we can find Height of Triangular Section given Shear Stress at Neutral Axis using the formula - Height of Triangular Section = (8*Shear Force)/(3*Base of Triangular Section*Shear Stress at Neutral Axis).

What are the other ways to Calculate Height of Triangular Section?

Here are the different ways to Calculate Height of Triangular Section-

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

Can the Height of Triangular Section given Shear Stress at Neutral Axis be negative?

No, the Height of Triangular Section given Shear Stress at Neutral Axis, measured in Length cannot be negative.

Which unit is used to measure Height of Triangular Section given Shear Stress at Neutral Axis?

Height of Triangular Section given Shear Stress at Neutral Axis is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Height of Triangular Section given Shear Stress at Neutral Axis can be measured.

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Height of Triangular Section given Shear Stress at Neutral Axis Formula

​GoHeight of Triangular Section given Maximum Shear Stress Formula

Height of Triangular Section given Shear Stress at Neutral Axis Example

Height of Triangular Section given Shear Stress at Neutral Axis Solution

Height of Triangular Section given Shear Stress at Neutral Axis Formula Elements

Other Formulas to find Height of Triangular Section

Other formulas in Maximum Stress of a Triangular Section category

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

FAQs on Height of Triangular Section given Shear Stress at Neutral Axis

Variable Name

GoHeight of Triangular Section given Maximum Shear Stress Formula