The solid rod shown in Figure $2$ is made from AISI $10$

$50$

cold drawn steel. The rod

is

cantilevered at one end and

subjected to point loads F

Z

$=5$kN

and F

Y

$=$

$-$

$8$kN

as

illustrated.

D

etermine:

$($a$)$

T

he normal and shear stresses at point

a

$.$

I

llustrate these stresses on

an

element

$.$

$(12)$

$($b$)$

T

he principal stresses and the maximum shear stress at point

a

$.$

$(5)$

$($c$)$

T

he factor of safety guarding against static failure at point

a

using

maximum shear stress theory.

$(3)$