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

✖Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity Of Bar [E_bar]			+10% -10%
✖The Impact Load is the load dropped from a particular height.ⓘ Impact Load [P_impact]			+10% -10%
✖The height through which load is dropped is a measure of vertical distance, either vertical extent or vertical position.ⓘ Height through which load is dropped [h]			+10% -10%
✖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.ⓘ Cross Sectional Area of Bar [A]			+10% -10%
✖Stress induced is the resistance developed within a body due to an external load applied.ⓘ Stress induced [σ_induced]			+10% -10%

✖Length Of Bar is defined as the total length of the Bar.ⓘ Length of Rod given Stress Induced in Rod due to Impact Load [L_bar]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
L_bar = (2*E_bar*P_impact*h)/(A*σ_induced^2)
This formula uses 6 Variables

Variables Used

Length of Bar - (Measured in Meter) - Length Of Bar is defined as the total length of the Bar.
Modulus of Elasticity Of Bar - (Measured in Pascal) - Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.
Impact Load - (Measured in Newton) - The Impact Load is the load dropped from a particular height.
Height through which load is dropped - (Measured in Meter) - The height through which load is dropped is a measure of vertical distance, either vertical extent or vertical position.
Cross Sectional Area of Bar - (Measured in Square Meter) - 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.
Stress induced - (Measured in Pascal) - Stress induced is the resistance developed within a body due to an external load applied.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)
Impact Load: 3 Kilonewton --> 3000 Newton (Check conversion here)
Height through which load is dropped: 2500 Millimeter --> 2.5 Meter (Check conversion here)
Cross Sectional Area of Bar: 64000 Square Millimeter --> 0.064 Square Meter (Check conversion here)
Stress induced: 2 Megapascal --> 2000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_bar = (2*E_bar*P_impact*h)/(A*σ_induced^2) --> (2*11000000*3000*2.5)/(0.064*2000000^2)

Evaluating ... ...

L_bar = 0.64453125

STEP 3: Convert Result to Output's Unit

0.64453125 Meter -->644.53125 Millimeter (Check conversion here)

FINAL ANSWER

644.53125 ≈ 644.5312 Millimeter <-- Length of Bar

(Calculation completed in 00.007 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Strain Energy » Mechanical » Strain Energy stored in a Body when Load is applied with Impact » Length of Rod given Stress Induced in Rod due to Impact Load

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National Institute Of Technology (NIT), Hamirpur

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< Strain Energy stored in a Body when Load is applied with Impact Calculators

Stress Induced in Rod due to Impact Load

LaTeX Go 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))

Height through which Load is Dropped using Work done by Load

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

Value of Load Applied with Impact given Work Done by Load

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

Work Done by Load for Small Extension of Rod

LaTeX Go Work Done by Load = Impact Load*Height through which load is dropped

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

LaTeX Go

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)
L_bar = (2*E_bar*P_impact*h)/(A*σ_induced^2)

Is strain energy a material property?

When force is applied to a material, the material deforms and stores potential energy, just like a spring. The strain energy (i.e. the amount of potential energy stored due to the deformation) is equal to the work expended in deforming the material.

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

Length of Rod given Stress Induced in Rod due to Impact Load calculator 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 calculate 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 calculate Length of Rod given Stress Induced in Rod due to Impact Load using this online calculator? To use this online calculator 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. Here is how the Length of Rod given Stress Induced in Rod due to Impact Load calculation can be explained with given input values -> 644531.2 = (2*11000000*3000*2.5)/(0.064*2000000^2).

FAQ

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

The Length of rod given stress induced in rod due to impact load formula is defined as a measure of distance and is represented as L_bar = (2*E_bar*P_impact*h)/(A*σ_induced^2) or 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). Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it, The Impact Load is the load dropped from a particular height, The height through which load is dropped is a measure of vertical distance, either vertical extent or vertical position, 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 & Stress induced is the resistance developed within a body due to an external load applied.

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

The Length of rod given stress induced in rod due to impact load formula is defined as a measure of distance is calculated using 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 calculate Length of Rod given Stress Induced in Rod due to Impact Load, you need 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). With our tool, you need to enter the respective value for Modulus of Elasticity Of Bar, Impact Load, Height through which load is dropped, Cross Sectional Area of Bar & Stress induced and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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