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Height through which Load is Dropped given Stress Induced in Rod due to Impact Load Formula

GoHeight through which Load is Dropped using Work done by Load Formula

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

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

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

Height through which Load is Dropped given Stress Induced in Rod due to Impact Load Example

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Here is how the Height through which Load is Dropped given Stress Induced in Rod due to Impact Load equation looks like with Values.

Here is how the Height through which Load is Dropped given Stress Induced in Rod due to Impact Load equation looks like with Units.

Here is how the Height through which Load is Dropped given Stress Induced in Rod due to Impact Load equation looks like.

7757.5758 = \frac{2^{2} \cdot 64000 \cdot 2000}{2 \cdot 11 \cdot 3}

7757.5758mm = \frac{{2MPa}^{2} \cdot 64000mm² \cdot 2000mm}{2 \cdot 11MPa \cdot 3kN}

7757.5758 = \frac{2^{2} \cdot 64000 \cdot 2000}{2 \cdot 11 \cdot 3}

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Height through which Load is Dropped given Stress Induced in Rod due to Impact Load Solution

Follow our step by step solution on how to calculate Height through which Load is Dropped given Stress Induced in Rod due to Impact Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{{2MPa}^{2} \cdot 64000mm² \cdot 2000mm}{2 \cdot 11MPa \cdot 3kN}

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

h = \frac{{2E+6}^{2} \cdot 0.064 \cdot 2}{2 \cdot 1.1E+7 \cdot 3000}

Next Step Evaluate

∴

h = 7.75757575757576m

Next Step Convert to Output's Unit

∴

h = 7757.57575757576mm

LAST Step Rounding Answer

∴

h = 7757.5758mm

Height through which Load is Dropped given Stress Induced in Rod due to Impact Load Formula Elements

Variables

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

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

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

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

Other Formulas to find Height through which load is dropped

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

h = \frac{w}{P impact}

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 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}}

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}

How to Evaluate Height through which Load is Dropped given Stress Induced in Rod due to Impact Load?

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

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

FAQs on Height through which Load is Dropped given Stress Induced in Rod due to Impact Load

What is the formula to find Height through which Load is Dropped given Stress Induced in Rod due to Impact Load?

The formula of Height through which Load is Dropped given Stress Induced in Rod due to Impact Load is expressed as Height through which load is dropped = (Stress induced^2*Cross Sectional Area of Bar*Length of Bar)/(2*Modulus of Elasticity Of Bar*Impact Load). Here is an example- 7.8E+6 = (2000000^2*0.064*2)/(2*11000000*3000).

How to calculate Height through which Load is Dropped given Stress Induced in Rod due to Impact Load?

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

What are the other ways to Calculate Height through which load is dropped?

Here are the different ways to Calculate Height through which load is dropped-

Height through which load is dropped=Work Done by Load/Impact Load

Can the Height through which Load is Dropped given Stress Induced in Rod due to Impact Load be negative?

No, the Height through which Load is Dropped given Stress Induced in Rod due to Impact Load, measured in Length cannot be negative.

Which unit is used to measure Height through which Load is Dropped given Stress Induced in Rod due to Impact Load?

Height through which Load is Dropped 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 Height through which Load is Dropped given Stress Induced in Rod due to Impact Load can be measured.

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Height through which Load is Dropped given Stress Induced in Rod due to Impact Load Formula

​GoHeight through which Load is Dropped using Work done by Load Formula

Height through which Load is Dropped given Stress Induced in Rod due to Impact Load Example

Height through which Load is Dropped given Stress Induced in Rod due to Impact Load Solution

Height through which Load is Dropped given Stress Induced in Rod due to Impact Load Formula Elements

Other Formulas to find Height through which load is dropped

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

How to Evaluate Height through which Load is Dropped given Stress Induced in Rod due to Impact Load?

FAQs on Height through which Load is Dropped given Stress Induced in Rod due to Impact Load

Variable Name

GoHeight through which Load is Dropped using Work done by Load Formula