GATE CE 2021 Set 1 — Question 50
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Structural Engineering → Connections & Plastic Analysis → Eccentric Connections
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Question
A column is subjected to a total load () of supported through a bracket connection, as shown in the figure (not to scale).
The resultant force in bolt R (in kN, round off to one decimal place) is ___________
Correct answer
27 to 29
Solution
1.Direct Shear Force ():
Total load is shared equally by bolts.(acting vertically downwards).
2.Torsional Shear Force ():
Eccentricity () from the centroid of the bolt group to the load is .Moment .
Coordinates of bolts relative to centroid :
Bolts at , .
.
For bolt R at , .
.
Since the moment is clockwise, at bolt R acts vertically downwards.
3.Resultant Force ():
Both and act in the same direction (downwards)..Rounding to one decimal place, the resultant force is .
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