Answer:
[tex]K = 1.58 \times 10^9 N/m[/tex]
Explanation:
Given data:
thickness of plate = 20 mm
Diameter of bolt = 14 mm
total stiffness is given as
[tex]K = K_{plate} /2 + K_{bolt}[/tex]
[tex]K = \frac{2AE}{2L} + \frac{AE}{L}[/tex]
[tex]K=2 \times \frac{AE}{L}[/tex]
[tex]K = 2 \times \frac{\frac{\pi}{4} 0.014^2\times 205\times 10^9}{0.04}[/tex]
here 0.04 is combine length of 2 plate
[tex]K = 1.58 \times 10^9 N/m[/tex]
