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Maximum Shearing Stress Formula

GoStress due to Sudden Loading Formula

GoShear Stress of Circular Beam Formula

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The Stress on Body is defined as the force per unit area which causes deformation in the body which is measured in terms of strain. Check FAQs

σ 1 = \frac{1.5 \cdot V}{A cs}

σ₁ - Stress on Body?V - Shearing Force?A_cs - Cross Sectional Area?

Maximum Shearing Stress Example

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Here is how the Maximum Shearing Stress equation looks like with Values.

Here is how the Maximum Shearing Stress equation looks like with Units.

Here is how the Maximum Shearing Stress equation looks like.

47247.6376 = \frac{1.5 \cdot 42}{1333.4}

47247.6376Pa = \frac{1.5 \cdot 42N}{1333.4mm²}

47247.6376 = \frac{1.5 \cdot 42}{1333.4}

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Home » Engineering » Mechanical » Strength of Materials » Maximum Shearing Stress

Maximum Shearing Stress Solution

Follow our step by step solution on how to calculate Maximum Shearing Stress?

FIRST Step Consider the formula

σ 1 = \frac{1.5 \cdot V}{A cs}

Next Step Substitute values of Variables

∴

σ 1 = \frac{1.5 \cdot 42N}{1333.4mm²}

Next Step Convert Units

∴

σ 1 = \frac{1.5 \cdot 42N}{0.0013m²}

Next Step Prepare to Evaluate

∴

σ 1 = \frac{1.5 \cdot 42}{0.0013}

Next Step Evaluate

∴

σ 1 = 47247.6376181191Pa

LAST Step Rounding Answer

∴

σ 1 = 47247.6376Pa

Maximum Shearing Stress Formula Elements

Variables

Stress on Body

The Stress on Body is defined as the force per unit area which causes deformation in the body which is measured in terms of strain.

Symbol: σ₁

Measurement: StressUnit: Pa

Note: Value can be positive or negative.

Shearing Force

The Shearing force are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction.

Symbol: V

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Cross Sectional Area

Cross sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Credits

Created by Pragati Jaju

College Of Engineering (COEP), Pune

Pragati Jaju has created this Formula and 50+ more formulas!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Formula and 1200+ more formulas!

Other Formulas to find Stress on Body

Go Stress due to Sudden Loading

σ 1 = 2 \cdot \frac{F}{A cs}

Go Shear Stress of Circular Beam

σ 1 = \frac{4 \cdot V}{3 \cdot A cs}

Other formulas in Stress category

Go Beam Shear Stress

𝜏 = \frac{ΣS \cdot Ay}{I \cdot t}

Go Bending Stress

σ b = M b \cdot \frac{y}{I}

Go Bulk Stress

B stress = \frac{N.F}{A cs}

Go Direct Stress

σ = \frac{P axial}{A cs}

How to Evaluate Maximum Shearing Stress?

Maximum Shearing Stress evaluator uses Stress on Body = (1.5*Shearing Force)/Cross Sectional Area to evaluate the Stress on Body, The Maximum Shearing Stress formula is defined as the maximum concentrated shear force in a small area. Stress on Body is denoted by σ₁ symbol.

How to evaluate Maximum Shearing Stress using this online evaluator? To use this online evaluator for Maximum Shearing Stress, enter Shearing Force (V) & Cross Sectional Area (A_cs) and hit the calculate button.

FAQs on Maximum Shearing Stress

What is the formula to find Maximum Shearing Stress?

The formula of Maximum Shearing Stress is expressed as Stress on Body = (1.5*Shearing Force)/Cross Sectional Area. Here is an example- 47247.64 = (1.5*42)/0.0013334.

How to calculate Maximum Shearing Stress?

With Shearing Force (V) & Cross Sectional Area (A_cs) we can find Maximum Shearing Stress using the formula - Stress on Body = (1.5*Shearing Force)/Cross Sectional Area.

What are the other ways to Calculate Stress on Body?

Here are the different ways to Calculate Stress on Body-

Stress on Body=2*Force/Cross Sectional Area
Stress on Body=(4*Shearing Force)/(3*Cross Sectional Area)

Can the Maximum Shearing Stress be negative?

Yes, the Maximum Shearing Stress, measured in Stress can be negative.

Which unit is used to measure Maximum Shearing Stress?

Maximum Shearing Stress is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Maximum Shearing Stress can be measured.

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