Q$3($text $3-3\mathrm{.}22)-$ For the vertical rod as shown, find the deflection at A and the stress distribution. Use

$E=100$MPa and weight per unit volume equal to $0\mathrm{.}06\frac{N}{c}{m}^3.($Hint: Introduce weight contribution to

the nodal loads and solve using two elements and four elements.$)$ Comment on the stress distribution.

a$)$ Use $2$&$4$ elements with linear shape functions.

b$)$ Use $2$ elements with quadratic shape functions.

Hint: see example $3\mathrm{.}7$ of text$3,$ Ed$.4$