A beam with profile HE $200$ A is loaded with two different end moments as shown. The beam is clevised at the ends.

M$\_$A $=40$ kNm

M$\_$B $=60$ kNm

Material St $37$

a$)$ Do a simplified lateral buckling control according to NS$-$EN$-19913-1-1.$

b$)$ Do an ordinary lateral buckling control according to NS$-$EN$-19913-1-1.$