Question $3(30\%)$

For the $12m$ beam of the figure:

Find the support reactions.

Draw the Free Body Diagram.

Draw the shear force and bending moment diagrams.

Find the max bending moment $($value and location$).$

Point load at C: $10kN,$ at D: $20kN.$ Uniform load on EF: $30k\frac{N}{m}.$

Couple moment at H: $10kN*m($counter$-$clockwise$).$

Each grid line is $1m.$ Therefore: $AB=1m,BC=2m,CD=2m,DE=1m,EF=4m,FG=1m,GH=1m.$

Use the table below to write down your final results:

$\backslash$table$[[$Quantity$,$Value$],[$Reaction $B_y,],[$Reaction $G_y,],[$max bending moment,$],[\backslash$table$[[$Location of the max bending$],[$moment $($distance from $A)]],]]$