a uniform beam 6m long and weight 4kg rest on a support at P and Q place left and right 1.0m from each end of the beam weight of mass 10kg and 8kg are place near P and Q respectively one each end of the beam CALCULATE the reaction at P and Q.

up force = down force

p + q = 10 + 4 + 8
total moment about center of beam is 0
10*3 - p*2 = 8*3 - q*2
30 - 24 = p - q
so
p + q = 22
p - q = 6
------------------subtract
2 q = 16
q = 8
p = 6+q = 14