The lift force on the wing of an aircraft is approximated by

The lift force on the wing of an aircraft is approximated by the distributed load shown determine the reactions at A. B. 48 kN/m 36 kN/m -4.0 m 4.0 m-+--4.0 m

Solution

Since this is a cantilever beam, the reaction force at support will be equal to total load on beam and reaction moment at support is equal to total moment at support due to external force

Reaction force =0.5*4*36 + 0.5*4*(36+48)+(48*4) =432 kN(vertcally upwards)

Reaction momenr at A=0.5*4*36*(8+4/3)+36*4*(4*4/2)+0.5*4*12*(4+4/3)+48*4*2=2048 kNm(counterclockwise)