Question $1$

a$)$ A concrete column $1500$mm high is reinforced with $5$ steel bars as shown in Figure $1.$ A compressive load of $2500$ kN is applied to the column.

Given:

The diameter of each steel, $d_s=40m$

The diameter of concrete, $d_c=500mm$

The Young's Modulus of steel, $E_s=210$GPa

The Young's Modulus of concrete, $E_c=15$GPa

i$.$ Determine the stresses set$-$up in concrete and steel.

$(11$ marks$)$

ii$.$ Determine the minimum number of steels bars required to support the concrete if the stress of the concrete should not exceed $5$ MPa $.$

$(4$ marks$)$

b$)$ Define kinetic energy, weight and inertia.

$(6$ marks$)$

c$)$ Describe the different between density and relative density.

$(4$ marks$)$