3. A hollow cylindrical cast iron column 200 mm external diameter and 25 mm thick is 6 metres in length. If both ends of the column are hinged and E = 8 x 10 N/mm2. Find the Euler's critical load, and the safe load taking FOS as 3. Also find Rankine's critical load taking constant values as fc = 550 N/mm2 and a = 1/1600. Also find the length of the column for which the critical loads by Euler's and Rankine's formula be equal. %3D
3. A hollow cylindrical cast iron column 200 mm external diameter and 25 mm thick is 6 metres in length. If both ends of the column are hinged and E = 8 x 10 N/mm2. Find the Euler's critical load, and the safe load taking FOS as 3. Also find Rankine's critical load taking constant values as fc = 550 N/mm2 and a = 1/1600. Also find the length of the column for which the critical loads by Euler's and Rankine's formula be equal. %3D
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.13P: An idealized column is made up of rigid bars ABC and CD that are joined by a rotational elastic...
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3. A hollow cylindrical cast iron column 200 mm external diameter and 25 mm thick is 6 metres in length. If both ends of the column are hinged and E= 8 x 10 N/mm². Find the Euler's critical load, and the safe load taking FOS as 3.
Also find Rankine's critical load taking constant values as fc = 550 N/mm² and a = 1/1600. Also find the length of the column for which the critical loads by Euler's and Rankine's
formula be equal.
![3. A hollow cylindrical cast iron column 200 mm external diameter and 25 mm thick is 6 metres
in length. If both ends of the column are hinged and E = 8 x 10“ N/mm². Find the Euler's critical
load, and the safe load taking FOS as 3.
Also find Rankine's critical load taking constant values as fc = 550 N/mm² and a = 1/1600.
Also find the length of the column for which the critical loads by Euler's and Rankine's
formula be equal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11b226be-af49-4623-9357-70997417959c%2F983a1847-7f9e-40f8-87c0-0d61efc0d5b2%2Faudtcl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. A hollow cylindrical cast iron column 200 mm external diameter and 25 mm thick is 6 metres
in length. If both ends of the column are hinged and E = 8 x 10“ N/mm². Find the Euler's critical
load, and the safe load taking FOS as 3.
Also find Rankine's critical load taking constant values as fc = 550 N/mm² and a = 1/1600.
Also find the length of the column for which the critical loads by Euler's and Rankine's
formula be equal.
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