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Base of Triangular Section given Shear Stress at Neutral Axis Formula

GoBase of Triangular Section given Maximum Shear Stress Formula

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

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

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

Base of Triangular Section given Shear Stress at Neutral Axis Example

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

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

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

31.4286 = \frac{8 \cdot 24.8}{3 \cdot 37.5757 \cdot 56}

31.4286mm = \frac{8 \cdot 24.8kN}{3 \cdot 37.5757MPa \cdot 56mm}

31.4286 = \frac{8 \cdot 24.8}{3 \cdot 37.5757 \cdot 56}

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Base of Triangular Section given Shear Stress at Neutral Axis Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b tri = \frac{8 \cdot 24.8kN}{3 \cdot 37.5757MPa \cdot 56mm}

Next Step Convert Units

∴

b tri = \frac{8 \cdot 24800N}{3 \cdot 3.8E+7Pa \cdot 0.056m}

Next Step Prepare to Evaluate

∴

b tri = \frac{8 \cdot 24800}{3 \cdot 3.8E+7 \cdot 0.056}

Next Step Evaluate

∴

b tri = 0.0314286195853272m

Next Step Convert to Output's Unit

∴

b tri = 31.4286195853272mm

LAST Step Rounding Answer

∴

b tri = 31.4286mm

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

Variables

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 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

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

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

Other Formulas to find Base of Triangular Section

Go Base of Triangular Section given Maximum Shear Stress

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

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 Height of Triangular Section given Maximum Shear Stress

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

Go Height of Triangular Section given Shear Stress at Neutral Axis

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

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

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

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

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

The formula of Base of Triangular Section given Shear Stress at Neutral Axis is expressed as Base of Triangular Section = (8*Shear Force)/(3*Shear Stress at Neutral Axis*Height of Triangular Section). Here is an example- 32000.05 = (8*24800)/(3*37575700*0.056).

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

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

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

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

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

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

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

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

Base 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 Base of Triangular Section given Shear Stress at Neutral Axis can be measured.

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Base of Triangular Section given Shear Stress at Neutral Axis Formula

​GoBase of Triangular Section given Maximum Shear Stress Formula

Base of Triangular Section given Shear Stress at Neutral Axis Example

Base of Triangular Section given Shear Stress at Neutral Axis Solution

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

Other Formulas to find Base of Triangular Section

Other formulas in Maximum Stress of a Triangular Section category

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

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

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GoBase of Triangular Section given Maximum Shear Stress Formula