Question #$5[1\mathrm{.}5$ marks$]$

A reinforced concrete beam shown below is under a tensile load. The reinforced concrete beam consists of $3$ steel rebars with a cross sectional diameter of $25mm$ which are embedded in the concrete. Assume the concrete and steel are fused together and behave as one composite member. The concrete has a tensile yield strength of $3$MPa and the steel has a tensile yield strength of $300$MPa. Determine:

i$)$ The maximum tensile load the composite beam can withstand without yielding of either the concrete or the steel rebar.

ii$)$ The elongation of the beam at the maximum tensile load

Assume the modulus of elasticity of steel is $200,000$MPa and the modulus of elasticity of concrete is $21,000$MPa.

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