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Stability of an object placed with maximum eccentricity - An interview Question

 
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rahil_azeez
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Joined: 22 Jan 2018
Posts: 12

PostPosted: Mon Jul 02, 2018 5:42 pm    Post subject: Stability of an object placed with maximum eccentricity - An interview Question Reply with quote

Dear SEFIANS,
I am here by attaching an interview question regarding stability of objects placed on each other. Kindly go through the attachment and give me the solution.

Thank you

Regards,
Rahil Azeez



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es_jayakumar
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Joined: 24 Nov 2011
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PostPosted: Tue Jul 03, 2018 2:36 am    Post subject: Reply with quote

First consider C is eccentrically placed over B. For the limiting stability, the centre of gravity of C should be over the right edge of B. For this condition, the maximum extension of C over B is 4.00/2 = 2.00m
Now consider the overall stability for this condition. Let W be the weight of each block :
Taking moments about left edge of A, we have the centre of gravity of the 3 blocks together at [W*4.00/2 + W* (0.8+4.00/2) + W*(0.8+2.00+4.00/2)]/(W*3) = 3.2m from left edge of A . This lies within the base of A. Hence stable.
We may also try the stability of B and C together over A.
CG is at [W*2.00 + W*(2.00+4.00/2)]/(W*2) = 3.00m from left edge of B. This is within 4.00-0.80 = 3.20m of base of B. Hence stable.

E S Jayakumar
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rahil_azeez
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Joined: 22 Jan 2018
Posts: 12

PostPosted: Tue Jul 03, 2018 8:56 am    Post subject: Reply with quote

Dear Sir,
Thank's a lot for you valuable response. You have explained very beautifully. Thank you Sir.

Regards,
Rahil Azeez
es_jayakumar wrote:
First consider C is eccentrically placed over B. For the limiting stability, the centre of gravity of C should be over the right edge of B. For this condition, the maximum extension of C over B is 4.00/2 = 2.00m
Now consider the overall stability for this condition. Let W be the weight of each block :
Taking moments about left edge of A, we have the centre of gravity of the 3 blocks together at [W*4.00/2 + W* (0.8+4.00/2) + W*(0.8+2.00+4.00/2)]/(W*3) = 3.2m from left edge of A . This lies within the base of A. Hence stable.
We may also try the stability of B and C together over A.
CG is at [W*2.00 + W*(2.00+4.00/2)]/(W*2) = 3.00m from left edge of B. This is within 4.00-0.80 = 3.20m of base of B. Hence stable.

E S Jayakumar
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