Finding stress and elongation in piston

In summary, finding stress and elongation in a piston is essential for determining its mechanical strength and performance. This can be measured using strain gauges, extensometers, or optical methods. The material properties, operating conditions, and design of the piston can all affect stress and elongation, which can be reduced by changing materials, modifying the design, and proper maintenance. Stress and elongation analysis in pistons have various applications in industries such as automotive, aerospace, and manufacturing for designing high-performance pistons for different mechanical systems.
  • #1
nerdeagle24
21
0
Homework Statement
Estimate the stress in the piston rod (6 cm in
diameter) [MPa] and the elongation of the 1 m long piston rod [cm] under these static
condition. Since these are external to the fraction, steel is often used, as in this case.
Relevant Equations
delta(l)=F*l/E*A
E for steel is 200 MPa
A=pi*r^2
I am really just totally stuck. I think you need to find force being applied onto the rod but I cannot figure that out
 

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  • #2
nerdeagle24 said:
ind force being applied onto the rod
What is the relationship between pressure, force and area?
 
  • #3
Pressure = F/A
 
  • #4
haruspex said:
What is the relationship between pressure, force and area?
Pressure =F/A
 
  • #5
nerdeagle24 said:
Pressure =F/A
Right, and you are given a pressure and an area.
 

1. What is the purpose of finding stress and elongation in a piston?

The purpose of finding stress and elongation in a piston is to determine its structural integrity and ability to withstand the forces and pressures it will encounter during operation. This information is crucial in designing and manufacturing pistons that can effectively and safely function in various mechanical systems.

2. How is stress calculated in a piston?

Stress in a piston is calculated by dividing the force acting on the piston by its cross-sectional area. This results in a measurement of force per unit area, typically expressed in pounds per square inch (PSI) or newtons per square meter (Pa).

3. What factors can affect the stress and elongation of a piston?

Several factors can affect the stress and elongation of a piston, including the material it is made of, the design and dimensions of the piston, the operating conditions (such as temperature and pressure), and the applied load or force.

4. How can elongation be measured in a piston?

Elongation in a piston can be measured using strain gauges or extensometers, which are devices that can detect and measure small changes in length. These instruments are typically attached to the piston and can provide accurate measurements of elongation under varying conditions.

5. What are some common methods for reducing stress and elongation in pistons?

To reduce stress and elongation in pistons, engineers often use design strategies such as increasing the piston's diameter, altering the material composition to one with higher strength and rigidity, and implementing lubrication systems to reduce friction. Additionally, adding support structures or reinforcing features can also help distribute stress and prevent excessive elongation in pistons.

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