Engineering Mechanics - Center of Gravity and Centroid - Discussion

Discussion Forum : Center of Gravity and Centroid - General Questions (Q.No. 5)
5.

Determine the distance to the centroidal axis of the beam's cross-sectional area.

= 112.3 mm
= 125.0 mm
= 100.0 mm
= 91.7 mm
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
7 comments Page 1 of 1.

Rahul said:   3 years ago
Thank you everyone for explaining.

Upasana said:   7 years ago
Please, solve the question clearly.

Ali j. said:   8 years ago
Good, Thanks @Ahamed.

Ali said:   9 years ago
Please solve the question clearly by parts.
(1)

Sai lakshmi said:   10 years ago
Why didn't you do division for y2?

Danica said:   10 years ago
Why does y1 didn't consider the 350?

Ahamed said:   1 decade ago
Since the given figure is symmetric about y-axis

So therefore

x' = 0 and y' = (A1y1 + A2y2 + A3y3) / ( A1 + A2 +A3)

A1 = 350 X 50 = 17500 mm
A2 = 200 X 50 = 10000 mm
A3 = 200 X 50 = 10000 mm

y1 = 25
y2 = 50+100 = 150
y3 = 50+100 = 150

y' = (17500x25 + 10000x150 + 10000x150) / (17500 + 10000 + 10000)

y' = 91.6666666 mm

By rounding off we get,

y' = 91.7 mm.
(1)

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