$($ii$)$ Shown below is a $10m$ long beam simply supported at A and $C$ and carrying a point load of $100kN$ and a uniformly distributed load of $30k\frac{N}{m}.$

a$)$ Calculate the vertical reactions at A and $C.$

b$)$ Draw the shear force diagram, indicating the values of shear at $A,B$ and $C.$

c$)$ Use your answer to b$)$ above to identify the position of maximum bending moment in the beam and calculate its value.

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