Bursting force of cylinder given stress due to fluid pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force = Length of wire*((2*Thickness Of Wire*Circumferential stress due to fluid pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure))
F = L*((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
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.
Length of wire - (Measured in Meter) - Length of wire is the measurement or extent of wirer from end to end.
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
Length of wire: 3500 Millimeter --> 3.5 Meter (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
F = L*((2*t*σc)+((pi/2)*Gwirew)) --> 3.5*((2*1.2*2000)+((pi/2)*0.0036*8000000))
Evaluating ... ...
F = 175136.269740926
STEP 3: Convert Result to Output's Unit
175136.269740926 Newton -->175.136269740926 Kilonewton (Check conversion here)
FINAL ANSWER
175.136269740926 175.1363 Kilonewton <-- Force
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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5 Force Calculators

Bursting force of cylinder given stress due to fluid pressure
Go Force = Length of wire*((2*Thickness Of Wire*Circumferential stress due to fluid pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure))
Initial tensile force in wire for length 'L'
Go Force = (Number of turns of wire*((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress
Initial tensile force in wire for length 'L' given length of cylinder
Go Force = (Length of wire*(pi/2)*Diameter of Wire*Initial Winding Stress)
Initial compressive force in cylinder for length 'L'
Go Compressive Force = (2*Length of wire*Thickness Of Wire*Compressive Circumferential Stress)
Bursting force due to fluid pressure
Go Force = Resisting force for cylinder+Resisting force for wire

Bursting force of cylinder given stress due to fluid pressure Formula

Force = Length of wire*((2*Thickness Of Wire*Circumferential stress due to fluid pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure))
F = L*((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 Bursting force of cylinder given stress due to fluid pressure?

Bursting force of cylinder given stress due to fluid pressure calculator uses Force = Length of wire*((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 Force, The Bursting force of cylinder given stress due to fluid pressure formula is defined as any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity (which includes beginning moving from a state of rest), i.e., to accelerate. Force is denoted by F symbol.

How to calculate Bursting force of cylinder given stress due to fluid pressure using this online calculator? To use this online calculator for Bursting force of cylinder given stress due to fluid pressure, enter Length of wire (L), 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 Bursting force of cylinder given stress due to fluid pressure calculation can be explained with given input values -> 0.175136 = 3.5*((2*1.2*2000)+((pi/2)*0.0036*8000000)).

FAQ

What is Bursting force of cylinder given stress due to fluid pressure?
The Bursting force of cylinder given stress due to fluid pressure formula is defined as any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity (which includes beginning moving from a state of rest), i.e., to accelerate and is represented as F = L*((2*t*σc)+((pi/2)*Gwirew)) or Force = Length of wire*((2*Thickness Of Wire*Circumferential stress due to fluid pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)). Length of wire is the measurement or extent of wirer from end to end, 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 Bursting force of cylinder given stress due to fluid pressure?
The Bursting force of cylinder given stress due to fluid pressure formula is defined as any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity (which includes beginning moving from a state of rest), i.e., to accelerate is calculated using Force = Length of wire*((2*Thickness Of Wire*Circumferential stress due to fluid pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)). To calculate Bursting force of cylinder given stress due to fluid pressure, you need Length of wire (L), 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 Length of wire, 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 Force?
In this formula, Force uses Length of wire, 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 -
  • Force = Resisting force for cylinder+Resisting force for wire
  • Force = (Number of turns of wire*((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress
  • Force = (Length of wire*(pi/2)*Diameter of Wire*Initial Winding Stress)
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