Civil Engineering - Applied Mechanics - Discussion

Discussion Forum : Applied Mechanics - Section 5 (Q.No. 18)
18.
The Centre of gravity of a 10 x 15 x 5 cm T section from its bottom, is
7.5 cm
5.0 cm
8.75 cm
7.85 cm
none of above.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
8 comments Page 1 of 1.

Lakshmi said:   4 years ago
Iy = (A1*y1+A2*y2)/(A1+A2).
= {(10*5*(10/2)) + (10*5*(10+5/2)}/(10*5+10*5).
= 8.75 cm.
(1)

Baloch said:   9 years ago
How?

Y= 2.5 (75) + 7.5 (50)
-------------------------
75 + 50

= 4.5 cm.

Vaibhav said:   8 years ago
Answer C is correct.

Kanhaiya said:   8 years ago
Please explain again.

RR27 said:   8 years ago
Horizontal section (flange) = length, 100mm, height 50mm.

Same applies to its vertical section Because the total height of both horizontal and vertical section is 150mm.

Therefore, Horizontal section (A1) = Area, 100 x 50 = 5000mm2, Centroid to bottom = 125mm (i.e.half of 50mm + 100mm),

Vertical section (A2), Area = 100 x 50=5000mm2, centroid to bottom = 50mm (i.e half of 100mm).

Centre of gravity, y = (5000 x 125) + (5000 x 50), i.e. sum of areas x centroid, divided by (5000+5000, i.e.sum of areas), ans = 87.5mm.

Rishi said:   6 years ago
Thanks for explaining.

Ihsan khan said:   5 years ago
Thanks all for the explanation.

Fenil said:   4 years ago
No, @Rr27.

The dimection is 10*15*5 cm.

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