Stress due to Impact Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Direct Stress = (Applied Load/Area of Cross-Section)+sqrt((Applied Load/Area of Cross-Section)^2+(2*Applied Load*Height of Crack*Young's Modulus)/(Area of Cross-Section*Length of Member))
σ = (WApplied load/A)+sqrt((WApplied load/A)^2+(2*WApplied load*h*E)/(A*L))
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
Direct Stress - (Measured in Pascal) - Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.
Applied Load - (Measured in Newton) - Applied Load is a force imposed on an object by a person or another object.
Area of Cross-Section - (Measured in Square Meter) - Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.
Height of Crack - (Measured in Meter) - Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Length of Member - (Measured in Meter) - Length of Member is the measurement or extent of member (beam or column) from end to end.
STEP 1: Convert Input(s) to Base Unit
Applied Load: 150 Kilonewton --> 150000 Newton (Check conversion here)
Area of Cross-Section: 5600 Square Millimeter --> 0.0056 Square Meter (Check conversion here)
Height of Crack: 12000 Millimeter --> 12 Meter (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Length of Member: 3000 Millimeter --> 3 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ = (WApplied load/A)+sqrt((WApplied load/A)^2+(2*WApplied load*h*E)/(A*L)) --> (150000/0.0056)+sqrt((150000/0.0056)^2+(2*150000*12*20000000000)/(0.0056*3))
Evaluating ... ...
σ = 2097155671.61317
STEP 3: Convert Result to Output's Unit
2097155671.61317 Pascal -->2097.15567161317 Megapascal (Check conversion here)
FINAL ANSWER
2097.15567161317 2097.156 Megapascal <-- Direct Stress
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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1 Impact Load Calculators

Stress due to Impact Load
Go Direct Stress = (Applied Load/Area of Cross-Section)+sqrt((Applied Load/Area of Cross-Section)^2+(2*Applied Load*Height of Crack*Young's Modulus)/(Area of Cross-Section*Length of Member))

Stress due to Impact Load Formula

Direct Stress = (Applied Load/Area of Cross-Section)+sqrt((Applied Load/Area of Cross-Section)^2+(2*Applied Load*Height of Crack*Young's Modulus)/(Area of Cross-Section*Length of Member))
σ = (WApplied load/A)+sqrt((WApplied load/A)^2+(2*WApplied load*h*E)/(A*L))

Define Stress & Strain Energy

The stress definition in engineering says that stress is the force applied to an object divided by its cross-section area.
The strain energy is the energy stored in any body due to its deformation, also known as Resilience.

What is Eccentric Loading & Beam of Uniform Strength?

A load, whose line of action does not coincide with the axis of a column or a strut, is known as an eccentric load.
These beams have uniform cross section throughout their length. When they are loaded, there is a variation in bending moment from section to section along the length.

How to Calculate Stress due to Impact Load?

Stress due to Impact Load calculator uses Direct Stress = (Applied Load/Area of Cross-Section)+sqrt((Applied Load/Area of Cross-Section)^2+(2*Applied Load*Height of Crack*Young's Modulus)/(Area of Cross-Section*Length of Member)) to calculate the Direct Stress, The Stress due to Impact Load formula is defined as the stress developed when the impact load which falls through a height acts on a unit area. Direct Stress is denoted by σ symbol.

How to calculate Stress due to Impact Load using this online calculator? To use this online calculator for Stress due to Impact Load, enter Applied Load (WApplied load), Area of Cross-Section (A), Height of Crack (h), Young's Modulus (E) & Length of Member (L) and hit the calculate button. Here is how the Stress due to Impact Load calculation can be explained with given input values -> 0.002097 = (150000/0.0056)+sqrt((150000/0.0056)^2+(2*150000*12*20000000000)/(0.0056*3)).

FAQ

What is Stress due to Impact Load?
The Stress due to Impact Load formula is defined as the stress developed when the impact load which falls through a height acts on a unit area and is represented as σ = (WApplied load/A)+sqrt((WApplied load/A)^2+(2*WApplied load*h*E)/(A*L)) or Direct Stress = (Applied Load/Area of Cross-Section)+sqrt((Applied Load/Area of Cross-Section)^2+(2*Applied Load*Height of Crack*Young's Modulus)/(Area of Cross-Section*Length of Member)). Applied Load is a force imposed on an object by a person or another object, Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area, Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain & Length of Member is the measurement or extent of member (beam or column) from end to end.
How to calculate Stress due to Impact Load?
The Stress due to Impact Load formula is defined as the stress developed when the impact load which falls through a height acts on a unit area is calculated using Direct Stress = (Applied Load/Area of Cross-Section)+sqrt((Applied Load/Area of Cross-Section)^2+(2*Applied Load*Height of Crack*Young's Modulus)/(Area of Cross-Section*Length of Member)). To calculate Stress due to Impact Load, you need Applied Load (WApplied load), Area of Cross-Section (A), Height of Crack (h), Young's Modulus (E) & Length of Member (L). With our tool, you need to enter the respective value for Applied Load, Area of Cross-Section, Height of Crack, Young's Modulus & Length of Member 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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