Cross Sectional Area of Rod using 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%
✖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 [σ_induced]			+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 Rod using Stress Induced in Rod due to Impact Load [A]

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Formula

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

Formula

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

Example

`"20625mm²"=(2*"11MPa"*"3kN"*"2500mm")/("2000mm"*("2MPa")^2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Length of Bar - (Measured in Meter) - Length Of Bar is defined as the total length of the Bar.
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)
Length of Bar: 2000 Millimeter --> 2 Meter (Check conversion here)
Stress induced: 2 Megapascal --> 2000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

A = 0.020625

STEP 3: Convert Result to Output's Unit

0.020625 Square Meter -->20625 Square Millimeter (Check conversion here)

FINAL ANSWER

20625 Square Millimeter <-- Cross Sectional Area of Bar

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

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National Institute Of Technology (NIT), Hamirpur

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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)

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

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)
A = (2*E_bar*P_impact*h)/(L_bar*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 Cross Sectional Area of Rod using Stress Induced in Rod due to Impact Load?

Cross Sectional Area of Rod using Stress Induced in Rod due to Impact Load calculator uses 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) to calculate the Cross Sectional Area of Bar, The Cross sectional area of rod using stress induced in rod due to impact load formula is defined as an area of an object if you view it as a 2D object. Cross Sectional Area of Bar is denoted by A symbol.

How to calculate Cross Sectional Area of Rod using Stress Induced in Rod due to Impact Load using this online calculator? To use this online calculator for Cross Sectional Area of Rod using 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), Length of Bar (L_bar) & Stress induced (σ_induced) and hit the calculate button. Here is how the Cross Sectional Area of Rod using Stress Induced in Rod due to Impact Load calculation can be explained with given input values -> 2.1E+10 = (2*11000000*3000*2.5)/(2*2000000^2).

FAQ

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

The Cross sectional area of rod using stress induced in rod due to impact load formula is defined as an area of an object if you view it as a 2D object and is represented as A = (2*E_bar*P_impact*h)/(L_bar*σ_induced^2) or 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). 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, Length Of Bar is defined as the total length of the Bar & Stress induced is the resistance developed within a body due to an external load applied.

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

The Cross sectional area of rod using stress induced in rod due to impact load formula is defined as an area of an object if you view it as a 2D object is calculated using 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). To calculate Cross Sectional Area of Rod using 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), Length of Bar (L_bar) & 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, Length 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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