Stress in a rod with a hole for pin-joint

In summary, the discussion is about a rod and boom in compression and tension. The main question is about the statement in the book that suggests that the minimum area at the end of the boom is not under stress, while for the rod it is. The answer is that for the tension case, the pin pulls on the rod causing stress throughout, including at the minimum area, while for the compression case, the pin pushes on the boom causing no stress at that area. This is due to the different directions of force applied by the pin in each case.
  • #1
Ali Baig
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If a rod is in compression, will the minimum area on rod ( the section where there is a hole for pin) stress free? What if the rod is in tension? The rod BC is in compression and the boom AB is in tension?

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  • #2
I don't understand what you mean by stress free, but you need to look at the cross section net area of the flat ends at the holes, as well as rod stress in main body and a bunch of other stuff. Please explain why you think the rod is in compression and the boom in tension. Is this a homework or study problem?
 
  • #3
It was a solved example in book Mechanics of Materials 5th Ed. by Beer. I am sorry for including it as part of question. My main question is about a statement given in the book that says
..the sections of minimum area at A and B are not under stress, since the boom is in compression, and, therefore, pushes on the pins (instead of pulling on the pins as rod BC does).
I want to ask when a given rod or boom is in compression, why we don't consider stress at minimum area (area where there is a hole for pin) but we do consider stress at the minimum area if the rod/boom is in tension? I am not able to understand this statement.
 
  • #4
Oh ok , the boom is in compression and the rod is in tension. For the tension case, the pin pulls on the rod from its outer edge at the contact point, causing tensile stress throughout the rod including at the cross section of the hole which is not stress free. For the compression case, the pin pushes on the boom from its inner edge at the contact point, thus there is no stress in the boom from that inner edge to the end of the boom.
 
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Related to Stress in a rod with a hole for pin-joint

1. What is "stress" in a rod with a hole for pin-joint?

Stress refers to the internal force that is experienced by a material when it is subjected to external forces. In a rod with a hole for pin-joint, stress can be caused by the applied load and the presence of the hole, which creates a discontinuity in the material.

2. How does the presence of a hole affect the stress in a rod with a hole for pin-joint?

The presence of a hole in a rod with a pin-joint can cause stress concentrations, which means that the stress is higher in the area surrounding the hole compared to the rest of the rod. This is because the hole creates a discontinuity in the material, causing the stress to be concentrated in that area.

3. What factors can influence the stress in a rod with a hole for pin-joint?

The stress in a rod with a hole for pin-joint can be influenced by factors such as the size and shape of the hole, the magnitude of the applied load, and the material properties of the rod. Additionally, the type of loading (tension, compression, bending) can also affect the stress distribution in the rod.

4. How can the stress in a rod with a hole for pin-joint be calculated?

The stress in a rod with a hole for pin-joint can be calculated using various methods, such as analytical equations, numerical methods, or experimental testing. The most commonly used approach is the use of analytical equations, such as the stress concentration factor, to determine the stress at the hole location.

5. What are some ways to reduce stress in a rod with a hole for pin-joint?

To reduce stress in a rod with a hole for pin-joint, the following methods can be employed: increasing the diameter of the hole, filleting the edges of the hole, changing the material properties of the rod, or using alternative design configurations such as a fillet-less pin-joint. It is also important to consider the type and magnitude of the applied load when designing to reduce stress in a rod with a hole for pin-joint.

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