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)
Lbar = (2*Ebar*Pimpact*h)/(A*σinduced^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
Lbar = (2*Ebar*Pimpact*h)/(A*σinduced^2) --> (2*11000000*3000*2.5)/(0.064*2000000^2)
Evaluating ... ...
Lbar = 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 00.004 seconds)

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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)

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

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)
Lbar = (2*Ebar*Pimpact*h)/(A*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 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 Lbar 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 (Ebar), Impact Load (Pimpact), Height through which load is dropped (h), Cross Sectional Area of Bar (A) & Stress induced 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 Lbar = (2*Ebar*Pimpact*h)/(A*σinduced^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 (Ebar), Impact Load (Pimpact), Height through which load is dropped (h), Cross Sectional Area of Bar (A) & 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, 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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