Problem $3-$ Temperature effect

The sectional dimension of reinforced concrete member is $400400mm,$ and the length is $6m.$ Reinforcing bars $)=(5000m{m}^2$ are placed symmetrically with respect to the centroid of the member. If the RC member is experiencing a shrinkage of ${}_{sh}=300{10}^{-6}m\frac{m}{m}m,$ answer the following questions.

Additional assumptions:

The concrete and reinforcement are perfectly bonded.

The length of the concrete and reinforcement are the same.

Uniform distribution of strain along the length of the RC member.

$($a$)$ Calculate the strains and stresses in concrete and reinforcement after the $RC$ member experiences shrinkage.

$($b$)$ What is the deformation of the RC member due to shrinkage?