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Design of Bolted Joints II

A bolted join...

Question

A bolted joint is used to connect two components. The combined stiffness of the components is twice the stiffness of the bolt. The tightening of the nut results in a preload of 6 kN in the bolt.

When an external force of 12 kN is applied on the assembly the tension in the bolt is

A

18 kN

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B

10 kN

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C

12 kN

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D

14 kN

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Solution

The correct option is B 10 kN
$K_{c} = 2 K_{b}, F_{i} = 6 k N, F_{e x t} = 12 k N$

$F_{b} = F_{i} + \frac{K_{b}}{K_{c} + K_{b}} F_{e x t}$

$F_{b} = 6 + \frac{K_{b}}{3 K_{b}} \times 12 = 10 k N$

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