Columns
JKSSB Junior Engineer (Civil) · Mechanics and Structural Analysis · 9 practice questions with answers and explanations: 6 Easy, 3 Medium, 0 Hard.
Sample questions
Sample Easy question 1
The Euler formula for buckling is not valid for:
- Hinged columns
- Steel columns
- Long slender columns
- Short columns with a low slenderness ratio
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Answer: D. Short columns fail by crushing before they can buckle.
Sample Easy question 2
The Euler load for a column fixed at one end and hinged at the other is about:
- Twice that of the same column hinged at both ends
- Half that of the hinged column
- Four times that of the hinged column
- The same as the hinged column
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Answer: A. Le = 0.7L, so P ∝ 1 ÷ 0.49 = 2.04.
Sample Easy question 3
A short rectangular column carrying an eccentric load has no tension in the section if the load acts within:
- The middle third of the depth
- The outer third
- The middle half
- The edge only
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Answer: A. The core of a rectangular section is the middle third in each direction.
Sample Medium question 4
A column has an effective length of 3,000 mm and a least radius of gyration of 30 mm. The slenderness ratio is:
- 90
- 10
- 1,000
- 100
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Answer: D. λ = Le ÷ r = 3,000 ÷ 30 = 100.
Sample Medium question 5
The least radius of gyration of a rectangular section 100 mm wide and 200 mm deep is:
- 28.87 mm
- 141.4 mm
- 57.74 mm
- 50 mm
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Answer: A. r = √(I ÷ A), and for the least value r = b ÷ √12 = 100 ÷ 3.464.
Sample Medium question 6
The Euler critical stress of a pin-ended column with a slenderness ratio of 100 and E = 200 GPa is about:
- 197 MPa
- 99 MPa
- 19.7 MPa
- 395 MPa
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Answer: A. σcr = π² E ÷ λ² = π² × 200,000 ÷ 10,000 = 197 MPa.