Determine the reaction - cantilever, Mechanical Engineering

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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,

2233_Determine the reaction.png

∑H = 0;

R_A_H = 0

R_A_H = 0 .......ANS

∑V = 0;

R_A_V -32 - 20 -12 - 10 = 0

R_A_V = 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_V_A = 74KN, R_H_A = 0KN, M_A = 148KN-m

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