Length of cylinder given bursting force due to fluid pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length Of Cylindrical Shell = Force/(((2*Thickness Of Wire*Circumferential Stress due to Fluid Pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)))
Lcylinder = F/(((2*t*σc)+((pi/2)*Gwire*σw)))
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
Force - (Measured in Newton) - Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
Thickness Of Wire - (Measured in Meter) - Thickness Of Wire is the distance through a wire.
Circumferential Stress due to Fluid Pressure - (Measured in Pascal) - Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.
Diameter of Wire - (Measured in Meter) - Diameter of Wire is the diameter of the wire in thread measurements.
Stress in wire due to fluid pressure - (Measured in Pascal) - Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.
STEP 1: Convert Input(s) to Base Unit
Force: 1.2 Kilonewton --> 1200 Newton (Check conversion ​here)
Thickness Of Wire: 1200 Millimeter --> 1.2 Meter (Check conversion ​here)
Circumferential Stress due to Fluid Pressure: 0.002 Megapascal --> 2000 Pascal (Check conversion ​here)
Diameter of Wire: 3.6 Millimeter --> 0.0036 Meter (Check conversion ​here)
Stress in wire due to fluid pressure: 8 Megapascal --> 8000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lcylinder = F/(((2*t*σc)+((pi/2)*Gwirew))) --> 1200/(((2*1.2*2000)+((pi/2)*0.0036*8000000)))
Evaluating ... ...
Lcylinder = 0.0239813261194437
STEP 3: Convert Result to Output's Unit
0.0239813261194437 Meter -->23.9813261194437 Millimeter (Check conversion ​here)
FINAL ANSWER
23.9813261194437 23.98133 Millimeter <-- Length Of Cylindrical Shell
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

Wire Parameters Calculators

Number of turns in wire for length 'L' given initial tensile force in wire
​ LaTeX ​ Go Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress)
Thickness of cylinder given initial compressive force in cylinder for length 'L'
​ LaTeX ​ Go Thickness Of Wire = Compressive Force/(2*Length Of Cylindrical Shell*Compressive Circumferential Stress)
Length of cylinder given initial compressive force in cylinder for length L
​ LaTeX ​ Go Length Of Cylindrical Shell = Compressive Force/(2*Thickness Of Wire*Compressive Circumferential Stress)
Number of turns of wire in length 'L'
​ LaTeX ​ Go Number of turns of wire = Length of wire/Diameter of Wire

Length of cylinder given bursting force due to fluid pressure Formula

​LaTeX ​Go
Length Of Cylindrical Shell = Force/(((2*Thickness Of Wire*Circumferential Stress due to Fluid Pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)))
Lcylinder = F/(((2*t*σc)+((pi/2)*Gwire*σw)))

Is a higher Young's modulus better?

The coefficient of proportionality is Young's modulus. The higher the modulus, the more stress is needed to create the same amount of strain; an idealized rigid body would have an infinite Young's modulus. Conversely, a very soft material such as fluid would deform without force and would have zero Young's Modulus.

How to Calculate Length of cylinder given bursting force due to fluid pressure?

Length of cylinder given bursting force due to fluid pressure calculator uses Length Of Cylindrical Shell = Force/(((2*Thickness Of Wire*Circumferential Stress due to Fluid Pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure))) to calculate the Length Of Cylindrical Shell, Length of cylinder given bursting force due to fluid pressure is the measurement or extent of something from end to end. Length Of Cylindrical Shell is denoted by Lcylinder symbol.

How to calculate Length of cylinder given bursting force due to fluid pressure using this online calculator? To use this online calculator for Length of cylinder given bursting force due to fluid pressure, enter Force (F), Thickness Of Wire (t), Circumferential Stress due to Fluid Pressure c), Diameter of Wire (Gwire) & Stress in wire due to fluid pressure w) and hit the calculate button. Here is how the Length of cylinder given bursting force due to fluid pressure calculation can be explained with given input values -> 23981.33 = 1200/(((2*1.2*2000)+((pi/2)*0.0036*8000000))).

FAQ

What is Length of cylinder given bursting force due to fluid pressure?
Length of cylinder given bursting force due to fluid pressure is the measurement or extent of something from end to end and is represented as Lcylinder = F/(((2*t*σc)+((pi/2)*Gwirew))) or Length Of Cylindrical Shell = Force/(((2*Thickness Of Wire*Circumferential Stress due to Fluid Pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure))). Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity, Thickness Of Wire is the distance through a wire, Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure, Diameter of Wire is the diameter of the wire in thread measurements & Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.
How to calculate Length of cylinder given bursting force due to fluid pressure?
Length of cylinder given bursting force due to fluid pressure is the measurement or extent of something from end to end is calculated using Length Of Cylindrical Shell = Force/(((2*Thickness Of Wire*Circumferential Stress due to Fluid Pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure))). To calculate Length of cylinder given bursting force due to fluid pressure, you need Force (F), Thickness Of Wire (t), Circumferential Stress due to Fluid Pressure c), Diameter of Wire (Gwire) & Stress in wire due to fluid pressure w). With our tool, you need to enter the respective value for Force, Thickness Of Wire, Circumferential Stress due to Fluid Pressure, Diameter of Wire & Stress in wire due to fluid pressure 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 Of Cylindrical Shell?
In this formula, Length Of Cylindrical Shell uses Force, Thickness Of Wire, Circumferential Stress due to Fluid Pressure, Diameter of Wire & Stress in wire due to fluid pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Length Of Cylindrical Shell = Compressive Force/(2*Thickness Of Wire*Compressive Circumferential Stress)
  • Length Of Cylindrical Shell = Number of turns of wire*Diameter of Wire
  • Length Of Cylindrical Shell = Force/((pi/2)*Diameter of Wire*Initial Winding Stress)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!