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Stress due to Impact Load Formula

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Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component. Check FAQs

σ = (\frac{W Applied load}{A}) + \sqrt{{(\frac{W Applied load}{A})}^{2} + \frac{2 \cdot W Applied load \cdot h \cdot E}{A \cdot L}}

σ - Direct Stress?W_{Applied load} - Applied Load?A - Area of Cross-Section?h - Height of Crack?E - Young's Modulus?L - Length of Member?

Stress due to Impact Load Example

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Here is how the Stress due to Impact Load equation looks like with Values.

Here is how the Stress due to Impact Load equation looks like with Units.

Here is how the Stress due to Impact Load equation looks like.

2097.1557 = (\frac{150}{5600}) + \sqrt{{(\frac{150}{5600})}^{2} + \frac{2 \cdot 150 \cdot 12000 \cdot 20000}{5600 \cdot 3000}}

2097.1557MPa = (\frac{150kN}{5600mm²}) + \sqrt{{(\frac{150kN}{5600mm²})}^{2} + \frac{2 \cdot 150kN \cdot 12000mm \cdot 20000MPa}{5600mm² \cdot 3000mm}}

2097.1557 = (\frac{150}{5600}) + \sqrt{{(\frac{150}{5600})}^{2} + \frac{2 \cdot 150 \cdot 12000 \cdot 20000}{5600 \cdot 3000}}

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Stress due to Impact Load Solution

Follow our step by step solution on how to calculate Stress due to Impact Load?

FIRST Step Consider the formula

σ = (\frac{W Applied load}{A}) + \sqrt{{(\frac{W Applied load}{A})}^{2} + \frac{2 \cdot W Applied load \cdot h \cdot E}{A \cdot L}}

Next Step Substitute values of Variables

∴

σ = (\frac{150kN}{5600mm²}) + \sqrt{{(\frac{150kN}{5600mm²})}^{2} + \frac{2 \cdot 150kN \cdot 12000mm \cdot 20000MPa}{5600mm² \cdot 3000mm}}

Next Step Convert Units

∴

σ = (\frac{150000N}{0.0056m²}) + \sqrt{{(\frac{150000N}{0.0056m²})}^{2} + \frac{2 \cdot 150000N \cdot 12m \cdot 2E+10Pa}{0.0056m² \cdot 3m}}

Next Step Prepare to Evaluate

∴

σ = (\frac{150000}{0.0056}) + \sqrt{{(\frac{150000}{0.0056})}^{2} + \frac{2 \cdot 150000 \cdot 12 \cdot 2E+10}{0.0056 \cdot 3}}

Next Step Evaluate

∴

σ = 2097155671.61317Pa

Next Step Convert to Output's Unit

∴

σ = 2097.15567161317MPa

LAST Step Rounding Answer

∴

σ = 2097.1557MPa

Stress due to Impact Load Formula Elements

Variables

Functions

Direct Stress

Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.

Symbol: σ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Direct Stress

Applied Load

Applied Load is a force imposed on an object by a person or another object.

Symbol: W_{Applied load}

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Applied Load

Area of Cross-Section

Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Cross-Section

Height of Crack

Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Crack

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Length of Member

Length of Member is the measurement or extent of member (beam or column) from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Member

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

How to Evaluate Stress due to Impact Load?

Stress due to Impact Load evaluator uses Direct Stress = (Applied Load/Area of Cross-Section)+sqrt((Applied Load/Area of Cross-Section)^2+(2*Applied Load*Height of Crack*Young's Modulus)/(Area of Cross-Section*Length of Member)) to evaluate the Direct Stress, The Stress due to Impact Load formula is defined as the stress developed when the impact load which falls through a height acts on a unit area. Direct Stress is denoted by σ symbol.

How to evaluate Stress due to Impact Load using this online evaluator? To use this online evaluator for Stress due to Impact Load, enter Applied Load (W_{Applied load}), Area of Cross-Section (A), Height of Crack (h), Young's Modulus (E) & Length of Member (L) and hit the calculate button.

FAQs on Stress due to Impact Load

What is the formula to find Stress due to Impact Load?

The formula of Stress due to Impact Load is expressed as Direct Stress = (Applied Load/Area of Cross-Section)+sqrt((Applied Load/Area of Cross-Section)^2+(2*Applied Load*Height of Crack*Young's Modulus)/(Area of Cross-Section*Length of Member)). Here is an example- 0.002097 = (150000/0.0056)+sqrt((150000/0.0056)^2+(2*150000*12*20000000000)/(0.0056*3)).

How to calculate Stress due to Impact Load?

With Applied Load (W_{Applied load}), Area of Cross-Section (A), Height of Crack (h), Young's Modulus (E) & Length of Member (L) we can find Stress due to Impact Load using the formula - Direct Stress = (Applied Load/Area of Cross-Section)+sqrt((Applied Load/Area of Cross-Section)^2+(2*Applied Load*Height of Crack*Young's Modulus)/(Area of Cross-Section*Length of Member)). This formula also uses Square Root (sqrt) function(s).

Can the Stress due to Impact Load be negative?

Yes, the Stress due to Impact Load, measured in Stress can be negative.

Which unit is used to measure Stress due to Impact Load?

Stress due to Impact Load 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 Stress due to Impact Load can be measured.

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Stress due to Impact Load Formula

Stress due to Impact Load Example

Stress due to Impact Load Solution

Stress due to Impact Load Formula Elements

How to Evaluate Stress due to Impact Load?

FAQs on Stress due to Impact Load

Variable Name