GATE CE 2025 Set 1 — Question 54
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Structural Engineering → Connections & Plastic Analysis → Eccentric Connections
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Question
Consider the built-up column made of two I-sections as shown in the figure, with each batten plate bolted to a component I-section of the column through 6 black bolts. Each connection of the batten plate with the component section is to be designed for a longitudinal shear of 70 kN and moment of 10 kN.m. The minimum bolt value required (in kN) is _____________ (rounded off to the nearest integer).
Correct answer
21 to 24
Solution
1.Connection Details:
- Number of bolts () = 6
- Longitudinal shear () = 70 kN
- Moment () = 10 kN.m = kN.mm
- Bolt arrangement: 2 columns of 3 bolts each.
- Vertical spacing: 140 mm between rows.
- Horizontal spacing: 70 mm between columns.
Let the CG be at (0,0). The coordinates of the bolts are:
3.Calculate :
4.Forces on the most critical bolt:
- Direct shear force per bolt ():
- Force due to moment ():
Horizontal component:
Vertical component:
5.Resultant force ():
The resultant is maximum when the vertical components add up:Rounding to the nearest integer, the minimum bolt value required is 23 kN.
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