QUESTION $5/$ VRAAG $5$

Two identical rods $AB$ and $CD$ in Figure $5$ each have a length $L$ and diameter $d,$ and are

$[22]$

used to support the rigid beam, which is pinned at $F.$ The vertical force $P$ is applied at the end of the beam. The rods are made of a material that has a modulus of elasticity of $E.$

$5\mathrm{.}1.$ Determine the normal stress developed in each rod. $[12]$

$5\mathrm{.}2.$ If $P=45kN$;$d=75mm$;$G=58$GPa; $E=140$GPa; determine the new diameter of rod AB$.[10]$

Twee identiese stawe $AB$ en $CD$ in Figuur $5$ het elk $n$ lengte $L$ en diameter $d,$ en word gebruik om die rigiede balk, wat by $F$ vasgepen is$,$ te ondersteun. Die vertikale krag $P$ word aan die eindpunt van die balk toegepas. Die stawe is gemaak van $\text{'}$n materiaal wat $\text{'}$ n elastisiteitsmodulus van E het.

$5\mathrm{.}1.$ Bepaal die normaal spanning wat in elke staaf ontwikkel word. $[12]$

$5\mathrm{.}2.$ As $P=45kN$;$d=75mm$; $G=58$GPa;$E=140$GPa; bepaal die nuwe diameter van staaf $AB.[10]$

Figure $5/$Figuur $5$