Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar Calculator

✖Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).ⓘ Elongation [δl]			+10% -10%
✖The Applied Load SOM is a force imposed on an object by a person or another object.ⓘ Applied Load SOM [W_Load]			+10% -10%
✖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.ⓘ Area of Cross-Section [A]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%

✖Length is the measurement or extent of something from end to end.ⓘ Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar [L]

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Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length = Elongation/(Applied Load SOM/(2*Area of Cross-Section*Young's Modulus))
L = δl/(W_Load/(2*A*E))
This formula uses 5 Variables

Variables Used

Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
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).
Applied Load SOM - (Measured in Newton) - The Applied Load SOM 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.
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
Applied Load SOM: 1750 Kilonewton --> 1750000 Newton (Check conversion here)
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

L = δl/(W_Load/(2*A*E)) --> 0.02/(1750000/(2*0.0056*20000000000))

Evaluating ... ...

L = 2.56

STEP 3: Convert Result to Output's Unit

2.56 Meter --> No Conversion Required

FINAL ANSWER

2.56 Meter <-- Length

(Calculation completed in 00.035 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)

Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar Formula

LaTeX Go

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

What is Uniform loading ?

A uniformly distributed load (UDL) is a load that is distributed or spread across the whole region of an element such as a beam or slab. In other words, the magnitude of the load remains uniform throughout the whole element.

How to Calculate Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar?

Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar calculator uses Length = Elongation/(Applied Load SOM/(2*Area of Cross-Section*Young's Modulus)) to calculate the Length, The Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar is defined as overall length of loading influencing the elongation in uniform bars due to weight per unit volume. Length is denoted by L symbol.

How to calculate Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar using this online calculator? To use this online calculator for Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar, enter Elongation (δl), Applied Load SOM (W_Load), Area of Cross-Section (A) & Young's Modulus (E) and hit the calculate button. Here is how the Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar calculation can be explained with given input values -> 2.56 = 0.02/(1750000/(2*0.0056*20000000000)).

FAQ

What is Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar?

The Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar is defined as overall length of loading influencing the elongation in uniform bars due to weight per unit volume and is represented as L = δl/(W_Load/(2*A*E)) or Length = Elongation/(Applied Load SOM/(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), The Applied Load SOM 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 & 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 Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar?

The Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar is defined as overall length of loading influencing the elongation in uniform bars due to weight per unit volume is calculated using Length = Elongation/(Applied Load SOM/(2*Area of Cross-Section*Young's Modulus)). To calculate Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar, you need Elongation (δl), Applied Load SOM (W_Load), Area of Cross-Section (A) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, Applied Load SOM, 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 Length?

In this formula, Length uses Elongation, Applied Load SOM, Area of Cross-Section & Young's Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2)))

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