Question $5$

$($a$)$ The beam has the rectangular cross section shown in the Fig. Q$5($a$).$

i$)$ Determine the largest load $P$ that can be supported on its overhanging ends so that

the bending stress does not exceed ${}_{\text{m}\text{a}\text{x}}=10$MPa.

$(3$ marks$)$

Point A is located at the left support section at a distance $100mm$ from the top face

of the beam. If $P=12kN,$ calculate the normal stress and shearing stress at point

A$.$ Using the Mohr's circle method to determine the principal stresses and the

maximum shearing stress at point A$.$

$(7$ marks$)$

$250mm$

$150mm$

Fig. Q$5($a$)$