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Height of Triangular Section given Maximum Shear Stress Formula

GoHeight of Triangular Section given Shear Stress at Neutral Axis 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{3 \cdot V}{b tri \cdot τ max}

h_tri - Height of Triangular Section?V - Shear Force?b_tri - Base of Triangular Section?τ_max - Maximum Shear Stress?

Height of Triangular Section given Maximum Shear Stress Example

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

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

Here is how the Height of Triangular Section given Maximum Shear Stress equation looks like.

55.3571 = \frac{3 \cdot 24.8}{32 \cdot 42}

55.3571mm = \frac{3 \cdot 24.8kN}{32mm \cdot 42MPa}

55.3571 = \frac{3 \cdot 24.8}{32 \cdot 42}

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Height of Triangular Section given Maximum Shear Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h tri = \frac{3 \cdot 24.8kN}{32mm \cdot 42MPa}

Next Step Convert Units

∴

h tri = \frac{3 \cdot 24800N}{0.032m \cdot 4.2E+7Pa}

Next Step Prepare to Evaluate

∴

h tri = \frac{3 \cdot 24800}{0.032 \cdot 4.2E+7}

Next Step Evaluate

∴

h tri = 0.0553571428571429m

Next Step Convert to Output's Unit

∴

h tri = 55.3571428571429mm

LAST Step Rounding Answer

∴

h tri = 55.3571mm

Height of Triangular Section given Maximum Shear Stress 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

Maximum Shear Stress

Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.

Symbol: τ_max

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Shear Stress

Other Formulas to find Height of Triangular Section

Go Height of Triangular Section given Shear Stress at Neutral Axis

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

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 Maximum Shear Stress?

Height of Triangular Section given Maximum Shear Stress evaluator uses Height of Triangular Section = (3*Shear Force)/(Base of Triangular Section*Maximum Shear Stress) to evaluate the Height of Triangular Section, The Height of Triangular Section given Maximum Shear Stress is defined as height of triangular cross-section which is considered. Height of Triangular Section is denoted by h_tri symbol.

How to evaluate Height of Triangular Section given Maximum Shear Stress using this online evaluator? To use this online evaluator for Height of Triangular Section given Maximum Shear Stress, enter Shear Force (V), Base of Triangular Section (b_tri) & Maximum Shear Stress (τ_max) and hit the calculate button.

FAQs on Height of Triangular Section given Maximum Shear Stress

What is the formula to find Height of Triangular Section given Maximum Shear Stress?

The formula of Height of Triangular Section given Maximum Shear Stress is expressed as Height of Triangular Section = (3*Shear Force)/(Base of Triangular Section*Maximum Shear Stress). Here is an example- 55357.14 = (3*24800)/(0.032*42000000).

How to calculate Height of Triangular Section given Maximum Shear Stress?

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

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

Can the Height of Triangular Section given Maximum Shear Stress be negative?

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

Which unit is used to measure Height of Triangular Section given Maximum Shear Stress?

Height of Triangular Section given Maximum Shear Stress 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 Maximum Shear Stress can be measured.

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Height of Triangular Section given Maximum Shear Stress Formula

​GoHeight of Triangular Section given Shear Stress at Neutral Axis Formula

Height of Triangular Section given Maximum Shear Stress Example

Height of Triangular Section given Maximum Shear Stress Solution

Height of Triangular Section given Maximum Shear Stress 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 Maximum Shear Stress?

FAQs on Height of Triangular Section given Maximum Shear Stress

Variable Name

GoHeight of Triangular Section given Shear Stress at Neutral Axis Formula