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Stress Induced in Rod due to Impact Load Formula

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GoStress Induced in Rod due to Impact Load if Height through which Load Dropped is Zero Formula

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Stress induced is the resistance developed within a body due to an external load applied. Check FAQs

σ induced = \sqrt{\frac{2 \cdot E bar \cdot P impact \cdot h}{A \cdot L bar}}

σ_induced - Stress induced?E_bar - Modulus of Elasticity Of Bar?P_impact - Impact Load?h - Height through which load is dropped?A - Cross Sectional Area of Bar?L_bar - Length of Bar?

Stress Induced in Rod due to Impact Load Example

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

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

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

1.1354 = \sqrt{\frac{2 \cdot 11 \cdot 3 \cdot 2500}{64000 \cdot 2000}}

1.1354MPa = \sqrt{\frac{2 \cdot 11MPa \cdot 3kN \cdot 2500mm}{64000mm² \cdot 2000mm}}

1.1354 = \sqrt{\frac{2 \cdot 11 \cdot 3 \cdot 2500}{64000 \cdot 2000}}

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Strength of Materials » fx Stress Induced in Rod due to Impact Load

Stress Induced in Rod due to Impact Load Solution

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

FIRST Step Consider the formula

σ induced = \sqrt{\frac{2 \cdot E bar \cdot P impact \cdot h}{A \cdot L bar}}

Next Step Substitute values of Variables

∴

σ induced = \sqrt{\frac{2 \cdot 11MPa \cdot 3kN \cdot 2500mm}{64000mm² \cdot 2000mm}}

Next Step Convert Units

∴

σ induced = \sqrt{\frac{2 \cdot 1.1E+7Pa \cdot 3000N \cdot 2.5m}{0.064m² \cdot 2m}}

Next Step Prepare to Evaluate

∴

σ induced = \sqrt{\frac{2 \cdot 1.1E+7 \cdot 3000 \cdot 2.5}{0.064 \cdot 2}}

Next Step Evaluate

∴

σ induced = 1135368.88278656Pa

Next Step Convert to Output's Unit

∴

σ induced = 1.13536888278656MPa

LAST Step Rounding Answer

∴

σ induced = 1.1354MPa

Stress Induced in Rod due to Impact Load Formula Elements

Variables

Functions

Stress induced

Stress induced is the resistance developed within a body due to an external load applied.

Symbol: σ_induced

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Stress induced

Open Variable

Modulus of Elasticity Of Bar

Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.

Symbol: E_bar

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Bar

Open Variable

Impact Load

The Impact Load is the load dropped from a particular height.

Symbol: P_impact

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Impact Load

Open Variable

Height through which load is dropped

The height through which load is dropped is a measure of vertical distance, either vertical extent or vertical position.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height through which load is dropped

Open Variable

Cross Sectional Area of Bar

Cross Sectional Area of Bar 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

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Bar

Open Variable

Length of Bar

Length Of Bar is defined as the total length of the Bar.

Symbol: L_bar

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Bar

Open Variable

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)

Other Formulas to find Stress induced

Go Stress Induced in Rod due to Impact Load if Height through which Load Dropped is Zero

σ induced = \frac{2 \cdot P impact}{A}

Other formulas in Strain Energy stored in a Body when Load is applied with Impact category

Go Work Done by Load for Small Extension of Rod

w = P impact \cdot h

Go Value of Load Applied with Impact given Work Done by Load

P impact = \frac{w}{h}

Go Height through which Load is Dropped using Work done by Load

h = \frac{w}{P impact}

Go Load Dropped given Stress Induced in Rod due to Impact Load

P impact = \frac{{σ induced}^{2} \cdot A \cdot L bar}{2 \cdot E bar \cdot h}

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How to Evaluate Stress Induced in Rod due to Impact Load?

Stress Induced in Rod due to Impact Load evaluator uses Stress induced = sqrt((2*Modulus of Elasticity Of Bar*Impact Load*Height through which load is dropped)/(Cross Sectional Area of Bar*Length of Bar)) to evaluate the Stress induced, The Stress induced in rod due to impact load formula is defined as the force acting on the unit area of a material. Stress induced is denoted by σ_induced symbol.

How to evaluate Stress Induced in Rod due to Impact Load using this online evaluator? To use this online evaluator for Stress Induced in Rod due to Impact Load, enter Modulus of Elasticity Of Bar (E_bar), Impact Load (P_impact), Height through which load is dropped (h), Cross Sectional Area of Bar (A) & Length of Bar (L_bar) and hit the calculate button.

FAQs on Stress Induced in Rod due to Impact Load

What is the formula to find Stress Induced in Rod due to Impact Load?

The formula of Stress Induced in Rod due to Impact Load is expressed as Stress induced = sqrt((2*Modulus of Elasticity Of Bar*Impact Load*Height through which load is dropped)/(Cross Sectional Area of Bar*Length of Bar)). Here is an example- 1.1E-6 = sqrt((2*11000000*3000*2.5)/(0.064*2)).

How to calculate Stress Induced in Rod due to Impact Load?

With Modulus of Elasticity Of Bar (E_bar), Impact Load (P_impact), Height through which load is dropped (h), Cross Sectional Area of Bar (A) & Length of Bar (L_bar) we can find Stress Induced in Rod due to Impact Load using the formula - Stress induced = sqrt((2*Modulus of Elasticity Of Bar*Impact Load*Height through which load is dropped)/(Cross Sectional Area of Bar*Length of Bar)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Stress induced?

Here are the different ways to Calculate Stress induced-

Stress induced=(2*Impact Load)/(Cross Sectional Area of Bar)

Can the Stress Induced in Rod due to Impact Load be negative?

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

Which unit is used to measure Stress Induced in Rod due to Impact Load?

Stress Induced in Rod due to Impact Load is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Stress Induced in Rod due to Impact Load can be measured.

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