Determine the reaction:

The cantilever is shown in the figure given below; determine the reaction when it is loaded. 

In cantilever at fixed end (A) there is three reaction that is, R_AH, M_A, R_AV First draw free body diagram of the beam as shown in given figure, As beam is in equilibrium, that is,

∑H = 0;

R_AH = 0

R_AH = 0                                                                 .......ANS

∑V = 0;

R_AV  -32 - 20 -12 - 10 = 0

R_AV = 74KN                                                        .......ANS

Taking moment about A,

- M_A + 32 × 1 + 20 × 2 + 12 × 3 + 10 × 4 = 0

∑M_A = 148KN-m                                            .......ANS

Therefore reaction at support A that is R_VA  = 74KN, R_HA  = 0KN, M_A  = 148KN-m