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Maximum Shear Stress of Triangular Section Formula

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

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

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

Maximum Shear Stress of Triangular Section Example

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

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

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

41.5179 = \frac{3 \cdot 24.8}{32 \cdot 56}

41.5179MPa = \frac{3 \cdot 24.8kN}{32mm \cdot 56mm}

41.5179 = \frac{3 \cdot 24.8}{32 \cdot 56}

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Maximum Shear Stress of Triangular Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ max = \frac{3 \cdot 24.8kN}{32mm \cdot 56mm}

Next Step Convert Units

∴

τ max = \frac{3 \cdot 24800N}{0.032m \cdot 0.056m}

Next Step Prepare to Evaluate

∴

τ max = \frac{3 \cdot 24800}{0.032 \cdot 0.056}

Next Step Evaluate

∴

τ max = 41517857.1428571Pa

Next Step Convert to Output's Unit

∴

τ max = 41.5178571428571MPa

LAST Step Rounding Answer

∴

τ max = 41.5179MPa

Maximum Shear Stress of Triangular Section Formula Elements

Variables

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

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

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 in Maximum Stress of a Triangular Section category

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 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 Maximum Shear Stress of Triangular Section?

Maximum Shear Stress of Triangular Section evaluator uses Maximum Shear Stress = (3*Shear Force)/(Base of Triangular Section*Height of Triangular Section) to evaluate the Maximum Shear Stress, The Maximum Shear Stress of Triangular Section formula is defined as force per unit area experienced by neutral axis. Maximum Shear Stress is denoted by τ_max symbol.

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

FAQs on Maximum Shear Stress of Triangular Section

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

The formula of Maximum Shear Stress of Triangular Section is expressed as Maximum Shear Stress = (3*Shear Force)/(Base of Triangular Section*Height of Triangular Section). Here is an example- 4.2E-5 = (3*24800)/(0.032*0.056).

How to calculate Maximum Shear Stress of Triangular Section?

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

Can the Maximum Shear Stress of Triangular Section be negative?

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

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

Maximum Shear Stress of Triangular Section is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Maximum Shear Stress of Triangular Section can be measured.

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Maximum Shear Stress of Triangular Section Formula

Maximum Shear Stress of Triangular Section Example

Maximum Shear Stress of Triangular Section Solution

Maximum Shear Stress of Triangular Section Formula Elements

Other formulas in Maximum Stress of a Triangular Section category

How to Evaluate Maximum Shear Stress of Triangular Section?

FAQs on Maximum Shear Stress of Triangular Section

Variable Name