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Base of Triangular Section given Maximum Shear Stress Formula

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

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

Base of Triangular Section given Maximum Shear Stress Example

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

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

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

31.6327 = \frac{3 \cdot 24.8}{42 \cdot 56}

31.6327mm = \frac{3 \cdot 24.8kN}{42MPa \cdot 56mm}

31.6327 = \frac{3 \cdot 24.8}{42 \cdot 56}

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Base of Triangular Section given Maximum Shear Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b tri = \frac{3 \cdot 24.8kN}{42MPa \cdot 56mm}

Next Step Convert Units

∴

b tri = \frac{3 \cdot 24800N}{4.2E+7Pa \cdot 0.056m}

Next Step Prepare to Evaluate

∴

b tri = \frac{3 \cdot 24800}{4.2E+7 \cdot 0.056}

Next Step Evaluate

∴

b tri = 0.0316326530612245m

Next Step Convert to Output's Unit

∴

b tri = 31.6326530612245mm

LAST Step Rounding Answer

∴

b tri = 31.6327mm

Base of Triangular Section given Maximum Shear Stress 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

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

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 Shear Stress at Neutral Axis

b tri = \frac{8 \cdot V}{3 \cdot τ NA \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 Maximum Shear Stress?

Base of Triangular Section given Maximum Shear Stress evaluator uses Base of Triangular Section = (3*Shear Force)/(Maximum Shear Stress*Height of Triangular Section) to evaluate the Base of Triangular Section, The Base of Triangular Section given Maximum Shear Stress formula is defined as the base of triangular stress profile when maximum shear stress value of section is already provided. Base of Triangular Section is denoted by b_tri symbol.

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

FAQs on Base of Triangular Section given Maximum Shear Stress

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

The formula of Base of Triangular Section given Maximum Shear Stress is expressed as Base of Triangular Section = (3*Shear Force)/(Maximum Shear Stress*Height of Triangular Section). Here is an example- 32207.79 = (3*24800)/(42000000*0.056).

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

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

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

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

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

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

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Base of Triangular Section given Maximum Shear Stress Formula

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

Base of Triangular Section given Maximum Shear Stress Example

Base of Triangular Section given Maximum Shear Stress Solution

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

FAQs on Base of Triangular Section given Maximum Shear Stress

Variable Name

GoBase of Triangular Section given Shear Stress at Neutral Axis Formula