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*Ebar*Pimpact*h)/(Lbar*σinduced^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*Ebar*Pimpact*h)/(Lbarinduced^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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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

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

​LaTeX ​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)
A = (2*Ebar*Pimpact*h)/(Lbar*σinduced^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 (Ebar), Impact Load (Pimpact), Height through which load is dropped (h), Length of Bar (Lbar) & Stress induced 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*Ebar*Pimpact*h)/(Lbarinduced^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 (Ebar), Impact Load (Pimpact), Height through which load is dropped (h), Length of Bar (Lbar) & Stress induced 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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