You work as a technical analyst for a large publisher of engineering textbooks. One of their well$-$known

authors has set a$.$ number of further problems in her latest draft engineening text, aimed at the level four

engineering market. She wishes to set these further problems throughout the text and intends to provide

the worked solutions on a companion website for the new book. The author has asked you to provide

these worked solutions. The further problems are given in the following tasks: $-$

Task$\mathrm{.}1$:

One of the further problems for the new textbook features a steel beam, shown below.

The beam is subjected to a point load of $500$ N and a distributed load of $1000\frac{N}{m},$ as indicated in the

diagram. The weight of the beam is $2000$ N and may be considered as a $2$ kJ point load acting dowmwards

at the middle of the beam.

a$)$ Determine the equivalent force of the distributed load.

b$)$ Sietch the beam wth all the applied forces $($including reaction and equivalenk forces$)$ at the

correct position on the beam.

c$)$ Evaluate the values of the reaction forces at supports A and $C,$ assuming the beam is in equilibrium.