Question

Calculate the effective member stiffness for two 20 mm plates which are made from steel (E = 205 GPa) and bolted together with a 14 mm diameter bolt.

Answer 1

`K = 1.58 * 10^9 N/m`

Step-by-step explanation:

Given data:

thickness of plate = 20 mm

Diameter of bolt = 14 mm

total stiffness is given as

`K = K_(plate) /2 + K_(bolt)`

`K = (2AE)/(2L) + (AE)/(L)`

`K=2 *  (AE)/(L)`

`K = 2 *  ((\pi)/(4) 0.014^2* 205* 10^9)/(0.04)`

here 0.04 is combine length of 2 plate

`K = 1.58 * 10^9 N/m`