Load Dropped given Stress Induced in Rod due to Impact Load Calculator

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

✖The Impact Load is the load dropped from a particular height.ⓘ Load Dropped given Stress Induced in Rod due to Impact Load [P_impact]

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Formula

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Load Dropped given Stress Induced in Rod due to Impact Load

Formula

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

Example

`"9.309091kN"=(("2MPa")^2*"64000mm²"*"2000mm")/(2*"11MPa"*"2500mm")`

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Load Dropped given Stress Induced in Rod due to Impact Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Impact Load - (Measured in Newton) - The Impact Load is the load dropped from a particular height.
Stress induced - (Measured in Pascal) - Stress induced is the resistance developed within a body due to an external load applied.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Stress induced: 2 Megapascal --> 2000000 Pascal (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)
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)
Height through which load is dropped: 2500 Millimeter --> 2.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

P_impact = 9309.09090909091

STEP 3: Convert Result to Output's Unit

9309.09090909091 Newton -->9.30909090909091 Kilonewton (Check conversion here)

FINAL ANSWER

9.30909090909091 ≈ 9.309091 Kilonewton <-- Impact Load

(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 » Load Dropped given Stress Induced in Rod due to Impact Load

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Created by Anshika Arya

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)

Load Dropped given Stress Induced in Rod due to Impact Load Formula

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

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 Load Dropped given Stress Induced in Rod due to Impact Load?

Load Dropped given Stress Induced in Rod due to Impact Load calculator uses 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) to calculate the Impact Load, The Load dropped given stress induced in rod due to impact load formula is defined as the load applied with impact. Impact Load is denoted by P_impact symbol.

How to calculate Load Dropped given Stress Induced in Rod due to Impact Load using this online calculator? To use this online calculator for Load Dropped given Stress Induced in Rod due to Impact Load, enter Stress induced (σ_induced), Cross Sectional Area of Bar (A), Length of Bar (L_bar), Modulus of Elasticity Of Bar (E_bar) & Height through which load is dropped (h) and hit the calculate button. Here is how the Load Dropped given Stress Induced in Rod due to Impact Load calculation can be explained with given input values -> 0.009309 = (2000000^2*0.064*2)/(2*11000000*2.5).

FAQ

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

The Load dropped given stress induced in rod due to impact load formula is defined as the load applied with impact and is represented as P_impact = (σ_induced^2*A*L_bar)/(2*E_bar*h) or 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). Stress induced is the resistance developed within a body due to an external load applied, 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, 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 height through which load is dropped is a measure of vertical distance, either vertical extent or vertical position.

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

The Load dropped given stress induced in rod due to impact load formula is defined as the load applied with impact is calculated using 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). To calculate Load Dropped given Stress Induced in Rod due to Impact Load, you need Stress induced (σ_induced), Cross Sectional Area of Bar (A), Length of Bar (L_bar), Modulus of Elasticity Of Bar (E_bar) & Height through which load is dropped (h). With our tool, you need to enter the respective value for Stress induced, Cross Sectional Area of Bar, Length of Bar, Modulus of Elasticity Of Bar & Height through which load is dropped 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 Impact Load?

In this formula, Impact Load uses Stress induced, Cross Sectional Area of Bar, Length of Bar, Modulus of Elasticity Of Bar & Height through which load is dropped. We can use 2 other way(s) to calculate the same, which is/are as follows -

Impact Load = Work Done by Load/Height through which load is dropped
Impact Load = (Cross Sectional Area of Bar*Stress Concentration Factor)/2

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