Effective area for compression versus tension of a link?

In summary, the equilibrium equations show that link BD is in tension and link CE is in compression. However, the calculations for normal stress were incorrect because the cross-sectional areas for links BD and CE should be different. The A & D link experiences tensile stress due to the pins pulling towards the outer ends, while the C & E link experiences compressive stress as the pins push towards the center. The maximum average normal stress does not occur at the pins for the link in compression. The total area refers to the cross-sectional area of the link.
  • #1
joahe
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I solved the equilibrium equations and found that link BD is in tension while link CE is in compression, but my resulting answers for normal stress were wrong.

The solutions show that the cross area to be used for normal stress at links BD and CE should be different. Link BD should incorporate the (Total Area - Pin Diameter) while link CE incorporates the Total Area.

Why is this true?
 
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  • #2
For the A & D link the loading of both pins are pulling toward the outer ends of the link with only the tensile strength of the two areas on each side of each pin resisting the load.

For the C & E link both pins are pushing toward the center of the link, so they are actually trying to compress the area between the C & E pins.
 
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  • #3
The maximum value of the average normal stress doesn't occur in the pin for the link in compression like it does for the link in tension.
 
  • #4
Would you mind explaining that what is the total area here being referred to?
 

Related to Effective area for compression versus tension of a link?

1. What is the difference between compression and tension in a link?

Compression and tension are two types of forces that act on a link or member. Compression is a force that pushes or squeezes the link together, while tension is a force that pulls or stretches the link apart.

2. How does the effective area for compression differ from the effective area for tension?

The effective area for compression is the cross-sectional area of the link that is able to resist compressive forces, while the effective area for tension is the cross-sectional area that can withstand tensile forces. In general, the effective area for compression is larger than the effective area for tension.

3. Why is it important to consider the effective area for compression and tension in a link?

The effective area for compression and tension determines the strength and stability of a link. If the effective area is not properly designed and calculated, the link may fail under the applied forces, leading to structural failure.

4. How is the effective area for compression and tension calculated?

The effective area for compression and tension is calculated by taking into account the material properties of the link, such as its yield strength and modulus of elasticity, as well as its geometry and dimensions. This calculation can be done using mathematical equations or through computer simulations.

5. Can the effective area for compression and tension be the same for a link?

No, the effective area for compression and tension will usually be different for a link. This is because the link's cross-sectional area and material properties may not be equally effective in resisting both compressive and tensile forces. However, in certain cases, the effective area may be the same, such as in symmetric links or perfectly balanced structures.

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