The Euler’s load (p) equal to \(\rm \frac{\pi^2 EI}{4L^2}\) is applicable for a long column with the end condition as:

This question was previously asked in
UKPSC JE Civil 8 May 2022 Official Paper-I
View all UKPSC JE Papers >
  1. Both ends hinged 
  2. Both ends fixed 
  3. One end fixed, other end hinged 
  4. One end fixed, other end free 

Answer (Detailed Solution Below)

Option 4 : One end fixed, other end free 
Free
UKPSC JE CE Full Test 1 (Paper I)
1.8 K Users
180 Questions 360 Marks 180 Mins

Detailed Solution

Download Solution PDF

Explanation:

The maximum load at which the column tends to have lateral displacement or tends to buckle is known as buckling or crippling load. Load columns can be analyzed with the Euler’s column formulas can be given as:

\(P = \frac{{{n^2}{\pi ^2}EI}}{{{L^2}}}\)

  • For both end hinged, n = 1
  • For one end fixed and other free, n = 1/2 

\(P = \frac{{{\pi ^2}EI}}{{4{L^2}}}\)

  • For both end fixed, n = 2
  • For one end fixed and other hinged, n = √2
Latest UKPSC JE Updates

Last updated on Mar 26, 2025

-> UKPSC JE Notification for 2025 will be out soon!

-> The total number of vacancies along with application dates will be mentioned in the notification.

-> The exam will be conducted to recruit Junior Engineers through Uttarakhand Public Service Commission. 

-> Candidates with an engineering diploma in the concerned field are eligible. 

-> The selection process includes a written exam and document verification. Prepare for the exam with UKPSC JE Previous Year Papers.

Get Free Access Now
Hot Links: teen patti sweet teen patti master real cash teen patti gold download teen patti chart teen patti bliss