Question and Answer sheets

Q$-1$ A $36$ mm thick AISI $1020$ steel plate is sandwiched between two $12$ mm thick $2024-$T$3$ aluminum plates and compressed with a bolt and nut with no washers. The bolt is M$121\mathrm{.}75$ mm $,$ property class $5\mathrm{.}8.$ Draw each cone frustum within the grip, showing thicknesses of members and

a$)$ Choose a suitable length $($ L $)$ for the bolt, rounded up to the nearest $6$ mm $.$

$[20$ pts$.]$

b$)$ Determine the bolt stiffness constant, $k_b[k\frac{N}{m}m].$

$[30$ pts$.]$

c$)$ Determine the stiffness of the members, $],$ and the joint stiffness, C$.(30$ pts$.]$

$[$Hint: Use symmetry within the drawn cone frusta to reduce number of computations.$]$

$,$ for $M121\mathrm{.}75mm$ bolt from Table$-8\mathrm{.}1$: $A_t=84\mathrm{.}3-m{m}^2,$ and $A_r=76\mathrm{.}3m{m}^2,[$:$H_{\text{n}\text{u}\text{t}}=10\mathrm{.}8(mm).$