Strain Energy Density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Strain Energy Density = 0.5*Principle Stress*Principle Strain
Sd = 0.5*σ*ε
This formula uses 3 Variables
Variables Used
Strain Energy Density - The strain energy density is known as strain energy density and the area under the stress-strain curve towards the point of deformation.
Principle Stress - (Measured in Pascal) - The principle stress is maximum or minimum shear stress on particular plane.
Principle Strain - The Principle Strain is maximum and minimum normal strain possible for a specific point on a structural element.
STEP 1: Convert Input(s) to Base Unit
Principle Stress: 49 Pascal --> 49 Pascal No Conversion Required
Principle Strain: 48 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sd = 0.5*σ*ε --> 0.5*49*48
Evaluating ... ...
Sd = 1176
STEP 3: Convert Result to Output's Unit
1176 --> No Conversion Required
FINAL ANSWER
1176 <-- Strain Energy Density
(Calculation completed in 00.004 seconds)

Credits

Created by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has created this Calculator and 50+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
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8 Strain Energy Calculators

Strain Energy due to Torsion in Hollow Shaft
Go Strain Energy = Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))
Strain Energy given Moment Value
Go Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)
Strain Energy given Torsion Moment Value
Go Strain Energy = (Torsion Load*Length)/(2*Shear Modulus *Polar Moment of Inertia)
Strain Energy due to Pure Shear
Go Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)
Strain Energy given Applied Tension Load
Go Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)
Strain Energy in Torsion for Solid Shaft
Go Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus)
Strain Energy in Torsion using Total Angle of Twist
Go Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi)
Strain Energy Density
Go Strain Energy Density = 0.5*Principle Stress*Principle Strain

17 Others & Extra Calculators

Depth of Missile Penetration into Concrete Element of Infinite Thickness
Go Missile Depth of Penetration = 12*Penetration Coefficient Concrete*Missile Wt./Frontal area of missile*log10(1+Missile striking velocity^2/215000)
Tangential Force on Gear given Pressure angle and Resultant Force
Go Tangential Force on Spur Gear = Resultant Force on Spur Gear*cos(Pressure Angle of Spur Gear)
Work Done by Roots Blower
Go Work Done per Cycle = 4*Volume*(Final Pressure of System-Initial Pressure of System)
Friction Coefficient
Go Local Friction Coefficient = Wall Shear Stress/(0.5*Density*(Fluid Velocity^2))
Muzzle Velocity
Go Muzzle Velocity = Initial Velocity^2+2*Acceleration*Travel Distance Barrel
Inner Diameter of Rim of Medium Size Diameter
Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim
Addendum Circle Diameter of Small Size Gear given Addendum
Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)
Dedendum Circle Diameter of Small Size Gear given Dedendum
Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)
Dedendum Circle Diameter of Medium Size Gear given Module and Number of Teeth
Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module
Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
Addendum Circle Diameter of Medium Size Gear given Module and Number of Teeth
Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
Addendum Circle Diameter of Small Size Gear given Module and Number of Teeth
Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
Pitch Circle Diameter of Medium Size Gear
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Pitch Circle Diameter of Small Size Gear
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Pitch Circle Diameter of Large Size Gear
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Strain Energy Density
Go Strain Energy Density = 0.5*Principle Stress*Principle Strain
Factor of Safety given Ultimate Stress and Working Stress
Go Factor of Safety = Fracture Stress/Working Stress

2 Others and extra subnode Calculators

Strain Energy Density
Go Strain Energy Density = 0.5*Principle Stress*Principle Strain
Factor of Safety given Ultimate Stress and Working Stress
Go Factor of Safety = Fracture Stress/Working Stress

Strain Energy Density Formula

Strain Energy Density = 0.5*Principle Stress*Principle Strain
Sd = 0.5*σ*ε

What is Strain Energy Density?

The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation

How to Calculate Strain Energy Density?

Strain Energy Density calculator uses Strain Energy Density = 0.5*Principle Stress*Principle Strain to calculate the Strain Energy Density, The strain energy density is known as strain energy density and the area under the stress-strain curve towards the point of deformation. Strain Energy Density is denoted by Sd symbol.

How to calculate Strain Energy Density using this online calculator? To use this online calculator for Strain Energy Density, enter Principle Stress (σ) & Principle Strain (ε) and hit the calculate button. Here is how the Strain Energy Density calculation can be explained with given input values -> 1176 = 0.5*49*48.

FAQ

What is Strain Energy Density?
The strain energy density is known as strain energy density and the area under the stress-strain curve towards the point of deformation and is represented as Sd = 0.5*σ*ε or Strain Energy Density = 0.5*Principle Stress*Principle Strain. The principle stress is maximum or minimum shear stress on particular plane & The Principle Strain is maximum and minimum normal strain possible for a specific point on a structural element.
How to calculate Strain Energy Density?
The strain energy density is known as strain energy density and the area under the stress-strain curve towards the point of deformation is calculated using Strain Energy Density = 0.5*Principle Stress*Principle Strain. To calculate Strain Energy Density, you need Principle Stress (σ) & Principle Strain (ε). With our tool, you need to enter the respective value for Principle Stress & Principle Strain 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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