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Length of Rod given Stress Induced in Rod due to Impact Load Formula

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

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

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

Length of Rod given Stress Induced in Rod due to Impact Load Example

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

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

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

644.5312 = \frac{2 \cdot 11 \cdot 3 \cdot 2500}{64000 \cdot 2^{2}}

644.5312mm = \frac{2 \cdot 11MPa \cdot 3kN \cdot 2500mm}{64000mm² \cdot {2MPa}^{2}}

644.5312 = \frac{2 \cdot 11 \cdot 3 \cdot 2500}{64000 \cdot 2^{2}}

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Length of Rod given Stress Induced in Rod due to Impact Load Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L bar = \frac{2 \cdot 11MPa \cdot 3kN \cdot 2500mm}{64000mm² \cdot {2MPa}^{2}}

Next Step Convert Units

∴

L bar = \frac{2 \cdot 1.1E+7Pa \cdot 3000N \cdot 2.5m}{0.064m² \cdot {2E+6Pa}^{2}}

Next Step Prepare to Evaluate

∴

L bar = \frac{2 \cdot 1.1E+7 \cdot 3000 \cdot 2.5}{0.064 \cdot {2E+6}^{2}}

Next Step Evaluate

∴

L bar = 0.64453125m

Next Step Convert to Output's Unit

∴

L bar = 644.53125mm

LAST Step Rounding Answer

∴

L bar = 644.5312mm

Length of Rod given Stress Induced in Rod due to Impact Load Formula Elements

Variables

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

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

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

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

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

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

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 Stress Induced in Rod due to Impact Load

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

How to Evaluate Length of Rod given Stress Induced in Rod due to Impact Load?

Length of Rod given Stress Induced in Rod due to Impact Load evaluator uses Length of Bar = (2*Modulus of Elasticity Of Bar*Impact Load*Height through which load is dropped)/(Cross Sectional Area of Bar*Stress induced^2) to evaluate the Length of Bar, The Length of rod given stress induced in rod due to impact load formula is defined as a measure of distance. Length of Bar is denoted by L_bar symbol.

How to evaluate Length of Rod given Stress Induced in Rod due to Impact Load using this online evaluator? To use this online evaluator for Length of Rod given 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) & Stress induced (σ_induced) and hit the calculate button.

FAQs on Length of Rod given Stress Induced in Rod due to Impact Load

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

The formula of Length of Rod given Stress Induced in Rod due to Impact Load is expressed as Length of Bar = (2*Modulus of Elasticity Of Bar*Impact Load*Height through which load is dropped)/(Cross Sectional Area of Bar*Stress induced^2). Here is an example- 644531.2 = (2*11000000*3000*2.5)/(0.064*2000000^2).

How to calculate Length of Rod given 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) & Stress induced (σ_induced) we can find Length of Rod given Stress Induced in Rod due to Impact Load using the formula - Length of Bar = (2*Modulus of Elasticity Of Bar*Impact Load*Height through which load is dropped)/(Cross Sectional Area of Bar*Stress induced^2).

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

No, the Length of Rod given Stress Induced in Rod due to Impact Load, measured in Length cannot be negative.

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

Length of Rod given Stress Induced in Rod due to Impact Load is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Rod given Stress Induced in Rod due to Impact Load can be measured.

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Length of Rod given Stress Induced in Rod due to Impact Load Formula

Length of Rod given Stress Induced in Rod due to Impact Load Example

Length of Rod given Stress Induced in Rod due to Impact Load Solution

Length of Rod given Stress Induced in Rod due to Impact Load Formula Elements

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

How to Evaluate Length of Rod given Stress Induced in Rod due to Impact Load?

FAQs on Length of Rod given Stress Induced in Rod due to Impact Load

Variable Name