- #1
How is the mass of the composite shape calculated using centroids and statics?
In summary, the conversation discusses a solution in which the 210 dimension was incorrectly calculated using the radius instead of the diameter. Due to a 45 degree angle, each triangle is half of a square with 75 sides, resulting in two triangles. The dimensions of the rectangle should be 175x300, instead of the given 175x210. The calculated y bar is also incorrect and should be 95.6. The conversation also mentions difficulties in understanding how the mass and y bar were obtained using only the given information.
- #2
Tom.G
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The 210 dimension was INCORRECTLY arrived at by using the Radius of the cutout. They should have used the Diameter and the the 210 should be 300.
Due to the 45o angle, each triangle is one half of a square of 75 on a side, and there are two triangles.
Due to the 45o angle, each triangle is one half of a square of 75 on a side, and there are two triangles.
- #3
physocs1
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Yea that's what I thought as well for the rectangles. 175x300
And the answer is wrong as well it should be 95.6 for y bar
Thank-you
And the answer is wrong as well it should be 95.6 for y bar
Thank-you
- #4
physocs1
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I'm not understanding how they were able to obtain the mass and y bar since they only gave out this
For 1=24kg/m^2
2=36kg/m^2
- #5
Tom.G
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You just exceeded my knowledge (I'm an electronics guy). Let's hope someone else jumps in here to help.
- #6
physocs1
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Okay thanks for the first post
- #7
JBA
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The area of each can be calculated from the dimensions, so their mass is simply obtained by multiplying (kg = kg/mm^2 x mm^2). They are treating both components as surfaces of zero thickness, even though the illustration shows the end plate as though it has a thickness.
FAQ: How is the mass of the composite shape calculated using centroids and statics?
What is a centroid in statics composites?
A centroid is the geometric center of a two-dimensional shape or a three-dimensional object. In the context of statics composites, it is the point at which the center of mass of a composite material is located.
How is the centroid of a composite material calculated?
The centroid of a composite material is calculated by taking the weighted average of the individual centroids of each component material. The weight is determined by the proportion of that material's area or volume in the composite.
What is the significance of the centroid in statics composites?
The centroid is an important concept in statics composites as it helps determine the overall behavior and stability of the material. It is also used in designing and analyzing structures and components made of composite materials.
How does the location of the centroid affect the strength of a composite material?
The location of the centroid can have a significant impact on the strength and stability of a composite material. If the centroid is closer to one component material, it can cause uneven stress distribution and potentially weaken the material.
Can the centroid of a composite material change?
Yes, the centroid of a composite material can change depending on the shape, orientation, and distribution of the component materials. It can also change if the proportions of the component materials are altered or if the material undergoes deformation or damage.