Mechanics of Materials - is this correct?

In summary, the conversation discussed a homework problem involving elongations and the equations used to solve it. The person asking for help did a good job and the lowest value of P is the correct answer. A diagram was also provided for verification.
  • #1
niece of md.
4
0

Homework Statement



question110.jpg




Homework Equations



neededformulas.jpg




The Attempt at a Solution



solve002.jpg


I was attempting to solve this exercise, but since I have no answers, I have no way of knowing if it's correct.

Any help Is more than appreciated
 
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  • #2
You did a superior job with this and your work is well presented.. the lowest value of P is the answer. Excellent work!
 
  • #3
All the best! There is my verification
http://img821.imageshack.us/img821/8128/tophysicsforum02.png
 
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  • #4
By the way Elongations (z - from left to right within each segment)
[itex]w_{{1}}=4\,{\frac {Pz}{E\pi \,{{\it Diam}}^{2}}}[/itex]

[itex]w_{{2}}=4\,{\frac {P \left( z{{\it Diam}}^{2}+a{{\it diam}}^{2}
\right) }{{{\it Diam}}^{2}E\pi \,{{\it diam}}^{2}}}[/itex]
 
  • #5
!


I cannot determine if your solution is correct without seeing the actual exercise and your attempt at solving it. However, in general, the mechanics of materials involves the study of how materials behave under different types of loading and how they can withstand and resist these loads. This field is essential in many engineering applications, such as designing structures and machines, as it helps us understand the limits and capabilities of different materials. It is also important in understanding the failure mechanisms of materials, which can lead to improvements in design and manufacturing processes. To ensure the accuracy of your solution, it is important to refer to established equations and principles in the field of mechanics of materials. Additionally, seeking feedback from a knowledgeable instructor or peer can also help verify the correctness of your solution.
 

FAQ: Mechanics of Materials - is this correct?

What is the purpose of studying mechanics of materials?

The purpose of studying mechanics of materials is to understand how different materials behave under external forces such as stress, strain, and deformation. This knowledge is crucial for designing and analyzing structures and machines, as well as predicting failure points.

What are the key concepts in mechanics of materials?

The key concepts in mechanics of materials include stress, strain, elasticity, plasticity, and failure theories. These concepts help to describe the behavior of materials and how they respond to different types of loads.

How does the study of mechanics of materials relate to other fields of science and engineering?

Mechanics of materials is closely related to other fields such as physics, materials science, and structural engineering. It provides a foundation for understanding the mechanical properties of materials and their applications in various industries.

What are some common applications of mechanics of materials?

Some common applications of mechanics of materials include designing and analyzing structures such as buildings, bridges, and aircraft, as well as machines and mechanical components such as gears and springs. It is also used in materials testing and quality control.

How can I apply the concepts of mechanics of materials in real-life situations?

The concepts of mechanics of materials can be applied in various real-life situations, such as determining the strength and durability of materials for construction projects, designing safe and efficient machines, and evaluating the performance of materials in different industries. It can also be used in troubleshooting and identifying causes of failures in mechanical systems.

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