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%
✖Length Of Bar is defined as the total length of the Bar.ⓘ Length of Bar [L_bar]			+10% -10%

✖Stress induced is the resistance developed within a body due to an external load applied.ⓘ Stress Induced in Rod due to Impact Load [σ_induced]

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Formula

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Stress Induced in Rod due to Impact Load

Formula

`"σ"_{"induced"} = sqrt((2*"E"_{"bar"}*"P"_{"impact"}*"h")/("A"*"L"_{"bar"}))`

Example

`"1.135369MPa"=sqrt((2*"11MPa"*"3kN"*"2500mm")/("64000mm²"*"2000mm"))`

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Stress Induced in Rod due to Impact Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
σ_induced = sqrt((2*E_bar*P_impact*h)/(A*L_bar))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sqrt(Number)

Variables Used

Stress induced - (Measured in Pascal) - Stress induced is the resistance developed within a body due to an external load applied.
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.
Length of Bar - (Measured in Meter) - Length Of Bar is defined as the total length of the Bar.

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)
Length of Bar: 2000 Millimeter --> 2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

σ_induced = 1135368.88278656

STEP 3: Convert Result to Output's Unit

1135368.88278656 Pascal -->1.13536888278656 Megapascal (Check conversion here)

FINAL ANSWER

1.13536888278656 ≈ 1.135369 Megapascal <-- Stress induced

(Calculation completed in 00.004 seconds)

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

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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< 10+ Strain Energy stored in a Body when Load is applied with Impact Calculators

Stress Induced in Rod due to Impact Load

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 given Stress Induced in Rod due to Impact Load

Go 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)

Cross Sectional Area of Rod using Stress Induced in Rod due to Impact Load

Go Cross Sectional Area of Bar = (2*Modulus of Elasticity Of Bar*Impact Load*Height through which load is dropped)/(Length of Bar*Stress induced^2)

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

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)

Load Dropped given Stress Induced in Rod due to Impact Load

Go Impact Load = (Stress induced^2*Cross Sectional Area of Bar*Length of Bar)/(2*Modulus of Elasticity Of Bar*Height through which load is dropped)

Value of Load Dropped if Height through which Load Dropped is Zero

Go Impact Load = (Cross Sectional Area of Bar*Stress Concentration Factor)/2

Height through which Load is Dropped using Work done by Load

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

Value of Load Applied with Impact given Work Done by Load

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

Work Done by Load for Small Extension of Rod

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

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

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

Stress Induced in Rod due to Impact Load 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))
σ_induced = sqrt((2*E_bar*P_impact*h)/(A*L_bar))

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 Stress Induced in Rod due to Impact Load?

Stress Induced in Rod due to Impact Load calculator 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 calculate 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 calculate Stress Induced in Rod due to Impact Load using this online calculator? To use this online calculator 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. Here is how the Stress Induced in Rod due to Impact Load calculation can be explained with given input values -> 1.1E-6 = sqrt((2*11000000*3000*2.5)/(0.064*2)).

FAQ

What is Stress Induced in Rod due to Impact Load?

The Stress induced in rod due to impact load formula is defined as the force acting on the unit area of a material and is represented as σ_induced = sqrt((2*E_bar*P_impact*h)/(A*L_bar)) or 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)). 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 & Length Of Bar is defined as the total length of the Bar.

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

The Stress induced in rod due to impact load formula is defined as the force acting on the unit area of a material is calculated using 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 calculate 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) & Length of Bar (L_bar). 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 & Length of Bar and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stress induced?

In this formula, Stress induced uses Modulus of Elasticity Of Bar, Impact Load, Height through which load is dropped, Cross Sectional Area of Bar & Length of Bar. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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