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Maximum Longitudinal Shear Stress for Rectangular Section Formula

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

τ maxlongitudinal = \frac{3 \cdot V}{2 \cdot b \cdot d}

τ_{maxlongitudinal} - Maximum Longitudinal Shear Stress?V - Shear Force?b - Breadth of Rectangular Section?d - Depth of Rectangular Section?

Maximum Longitudinal Shear Stress for Rectangular Section Example

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Here is how the Maximum Longitudinal Shear Stress for Rectangular Section equation looks like with Values.

Here is how the Maximum Longitudinal Shear Stress for Rectangular Section equation looks like with Units.

Here is how the Maximum Longitudinal Shear Stress for Rectangular Section equation looks like.

275.5556 = \frac{3 \cdot 24.8}{2 \cdot 300 \cdot 450}

275.5556MPa = \frac{3 \cdot 24.8kN}{2 \cdot 300mm \cdot 450mm}

275.5556 = \frac{3 \cdot 24.8}{2 \cdot 300 \cdot 450}

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Maximum Longitudinal Shear Stress for Rectangular Section Solution

Follow our step by step solution on how to calculate Maximum Longitudinal Shear Stress for Rectangular Section?

FIRST Step Consider the formula

τ maxlongitudinal = \frac{3 \cdot V}{2 \cdot b \cdot d}

Next Step Substitute values of Variables

∴

τ maxlongitudinal = \frac{3 \cdot 24.8kN}{2 \cdot 300mm \cdot 450mm}

Next Step Convert Units

∴

τ maxlongitudinal = \frac{3 \cdot 24.8kN}{2 \cdot 0.3m \cdot 0.45m}

Next Step Prepare to Evaluate

∴

τ maxlongitudinal = \frac{3 \cdot 24.8}{2 \cdot 0.3 \cdot 0.45}

Next Step Evaluate

∴

τ maxlongitudinal = 275555555.555556Pa

Next Step Convert to Output's Unit

∴

τ maxlongitudinal = 275.555555555556MPa

LAST Step Rounding Answer

∴

τ maxlongitudinal = 275.5556MPa

Maximum Longitudinal Shear Stress for Rectangular Section Formula Elements

Variables

Maximum Longitudinal Shear Stress

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

Symbol: τ_{maxlongitudinal}

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Longitudinal 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

Breadth of Rectangular Section

The Breadth of Rectangular Section is the distance or measurement from side to side of the section.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Breadth of Rectangular Section

Depth of Rectangular Section

Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Rectangular Section

Other formulas in Longitudinal Shear Stress for Rectangular Section category

Go Average Longitudinal Shear Stress for Rectangular Section

q avg = \frac{V}{b \cdot d}

Go Transverse Shear given Average Longitudinal Shear Stress for Rectangular Section

V = q avg \cdot b \cdot d

Go Breadth given Average Longitudinal Shear Stress for Rectangular Section

b = \frac{V}{q avg \cdot d}

Go Depth given Average Longitudinal Shear Stress for Rectangular Section

d = \frac{V}{q avg \cdot b}

How to Evaluate Maximum Longitudinal Shear Stress for Rectangular Section?

Maximum Longitudinal Shear Stress for Rectangular Section evaluator uses Maximum Longitudinal Shear Stress = (3*Shear Force)/(2*Breadth of Rectangular Section*Depth of Rectangular Section) to evaluate the Maximum Longitudinal Shear Stress, The Maximum Longitudinal Shear Stress for Rectangular Section formula is defined as maximum of all the calculated longitudinal shear stresses. Maximum Longitudinal Shear Stress is denoted by τ_{maxlongitudinal} symbol.

How to evaluate Maximum Longitudinal Shear Stress for Rectangular Section using this online evaluator? To use this online evaluator for Maximum Longitudinal Shear Stress for Rectangular Section, enter Shear Force (V), Breadth of Rectangular Section (b) & Depth of Rectangular Section (d) and hit the calculate button.

FAQs on Maximum Longitudinal Shear Stress for Rectangular Section

What is the formula to find Maximum Longitudinal Shear Stress for Rectangular Section?

The formula of Maximum Longitudinal Shear Stress for Rectangular Section is expressed as Maximum Longitudinal Shear Stress = (3*Shear Force)/(2*Breadth of Rectangular Section*Depth of Rectangular Section). Here is an example- 0.000276 = (3*24800)/(2*0.3*0.45).

How to calculate Maximum Longitudinal Shear Stress for Rectangular Section?

With Shear Force (V), Breadth of Rectangular Section (b) & Depth of Rectangular Section (d) we can find Maximum Longitudinal Shear Stress for Rectangular Section using the formula - Maximum Longitudinal Shear Stress = (3*Shear Force)/(2*Breadth of Rectangular Section*Depth of Rectangular Section).

Can the Maximum Longitudinal Shear Stress for Rectangular Section be negative?

Yes, the Maximum Longitudinal Shear Stress for Rectangular Section, measured in Stress can be negative.

Which unit is used to measure Maximum Longitudinal Shear Stress for Rectangular Section?

Maximum Longitudinal Shear Stress for Rectangular 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 Longitudinal Shear Stress for Rectangular Section can be measured.

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Maximum Longitudinal Shear Stress for Rectangular Section Formula

Maximum Longitudinal Shear Stress for Rectangular Section Example

Maximum Longitudinal Shear Stress for Rectangular Section Solution

Maximum Longitudinal Shear Stress for Rectangular Section Formula Elements

Other formulas in Longitudinal Shear Stress for Rectangular Section category

How to Evaluate Maximum Longitudinal Shear Stress for Rectangular Section?

FAQs on Maximum Longitudinal Shear Stress for Rectangular Section

Variable Name