QUESTION $3[24]$

$1\mathrm{.}1$ Define the law of moments

$1\mathrm{.}2$ A uniform beam is $18m$ long and rests horizontally on two support.

The one support is at the left end and the other support is $4m$ from the right end. The beam carries concentrated loads of $200N$ and $100N$ respectively $5m$ and $10m$ from the left end. The beam also carries a load of $1\mathrm{.}5\frac{N}{m}$ over the first $6m$ from the right end.

Calculate the reactions at the supports, test your answer and draw the Shear force diagram to scale.