Load on Prismatic Bar with known Elongation due to Self Weight Solution

STEP 0: Pre-Calculation Summary
Formula Used
Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus))
WLoad = δl/(L/(2*A*E))
This formula uses 5 Variables
Variables Used
Applied Load SOM - (Measured in Newton) - The Applied Load SOM is a force imposed on an object by a person or another object.
Elongation - (Measured in Meter) - Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Area of Cross-Section: 5600 Square Millimeter --> 0.0056 Square Meter (Check conversion ​here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
WLoad = δl/(L/(2*A*E)) --> 0.02/(3/(2*0.0056*20000000000))
Evaluating ... ...
WLoad = 1493333.33333333
STEP 3: Convert Result to Output's Unit
1493333.33333333 Newton -->1493.33333333333 Kilonewton (Check conversion ​here)
FINAL ANSWER
1493.33333333333 1493.333 Kilonewton <-- Applied Load SOM
(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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Elongation of Tapering Bar due to Self Weight Calculators

Length of Circular Tapering Rod when deflection due to load
​ LaTeX ​ Go Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2)))
Load on Prismatic Bar with known Elongation due to Self Weight
​ LaTeX ​ Go Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus))
Self Weight of Prismatic Bar with known Elongation
​ LaTeX ​ Go Specific Weight = Elongation/(Length*Length/(Young's Modulus*2))
Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight
​ LaTeX ​ Go Young's Modulus = Specific Weight*Length*Length/(Elongation*2)

Load on Prismatic Bar with known Elongation due to Self Weight Formula

​LaTeX ​Go
Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus))
WLoad = δl/(L/(2*A*E))

What is elongation?

Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest). Since elongation depends on the testing gauge length, when reporting elongation, the gauge length must also be reported (the longer the gauge length, the lower the measured elongation).

How to Calculate Load on Prismatic Bar with known Elongation due to Self Weight?

Load on Prismatic Bar with known Elongation due to Self Weight calculator uses Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus)) to calculate the Applied Load SOM, The Load on Prismatic Bar with known Elongation due to Self Weight is the total load applied due to self-weight of Prismatic bar. Applied Load SOM is denoted by WLoad symbol.

How to calculate Load on Prismatic Bar with known Elongation due to Self Weight using this online calculator? To use this online calculator for Load on Prismatic Bar with known Elongation due to Self Weight, enter Elongation (δl), Length (L), Area of Cross-Section (A) & Young's Modulus (E) and hit the calculate button. Here is how the Load on Prismatic Bar with known Elongation due to Self Weight calculation can be explained with given input values -> 1.493333 = 0.02/(3/(2*0.0056*20000000000)).

FAQ

What is Load on Prismatic Bar with known Elongation due to Self Weight?
The Load on Prismatic Bar with known Elongation due to Self Weight is the total load applied due to self-weight of Prismatic bar and is represented as WLoad = δl/(L/(2*A*E)) or Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus)). Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest), Length is the measurement or extent of something from end to end, 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 & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
How to calculate Load on Prismatic Bar with known Elongation due to Self Weight?
The Load on Prismatic Bar with known Elongation due to Self Weight is the total load applied due to self-weight of Prismatic bar is calculated using Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus)). To calculate Load on Prismatic Bar with known Elongation due to Self Weight, you need Elongation (δl), Length (L), Area of Cross-Section (A) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, Length, Area of Cross-Section & Young's Modulus 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 Applied Load SOM?
In this formula, Applied Load SOM uses Elongation, Length, Area of Cross-Section & Young's Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Applied Load SOM = Elongation/(Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus))
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