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
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.10.4P: Around brass bar of a diameter d1= 20mm has upset ends each with a diameter d2= 26 mm (see figure)....
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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.
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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