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Do you mean "line of equal area"?fonseh said:Homework Statement
For this shape , it's clear that the centroid and the horizontal line of equal axis lies on the same horizontal line , am i right ?
Homework Equations
The Attempt at a Solution
I'm not sure . correct me if i am wrong . [/B]
Are you familiar with plastic analysis ? Zp here is the plastic modulus .Mark44 said:Do you mean "line of equal area"?
Anyway, yes, symmetry should convince you that you're right if there's no other information given.
No, I'm not, but I am familiar with the concept of centroids.fonseh said:Are you familiar with plastic analysis ?
fonseh said:Zp here is the plastic modulus .
I use another method to do , but i get different answer , why ?
Here's my working : , Zp = Sum of area x ( difference between centroid of particluar area and the equal area axis )
Zp = [ (130)(20)(150-10) + (150)(20)(150/2) ] x 2 = 1178000 , but the ans provided is only 929040
To calculate the centroid of a shape, you need to find the average of the x and y coordinates of all the points that make up the shape. This can be done by dividing the sum of all the x coordinates by the total number of points, and then doing the same for the y coordinates. The resulting point is the centroid.
One way to check if your centroid calculation is correct is by using a known formula for the centroid of a specific shape and comparing it to your calculated value. Another way is to check if the centroid falls within the boundaries of the shape, as it should be located within the shape.
Yes, the centroid can be used as a point of reference for a shape. It is often used in engineering and architecture to determine the balance and stability of a structure. It can also be used in mathematics to find the center of mass of an object.
No, the centroid of a shape remains the same regardless of its orientation or position in space. This is because the centroid is based on the distribution of mass within the shape, which does not change when the shape is rotated or translated.
If your shape has holes or cutouts, you can still calculate the centroid by treating each individual section as a separate shape and finding the centroid of each. Then, you can find the weighted average of the individual centroids to get the overall centroid of the shape.