Evaluate the reactions at hinge and roller support, Mechanical Engineering

Evaluate the reactions at hinge and roller support:

Q: A Force P = 5000N is applied at centre C of beam AB of length 5m as shown in figure given below. Find the reactions at hinge and roller support.                                                                                                       

Sol.: Hinged at A and Roller at point B, FBD of beam is as shown in the figure given below

 

930_Evaluate the reactions at hinge and roller support.png

∑H = 0

RAH  -5000cos30° = 0

RAH = 4330.127N                                       .......ANS

∑V = 0

RAV  + RBV  -5000sin30° = 0

RAV  + RBV = 2500N                                                                                                        ...(i)

By taking moment about B:

∑MB = RAV  × 5 - 5000 sin30° × 2.5 = 0

RAV = 1250N                                               .......ANS

From the equation (i)

RBV = 1250N                                               .......ANS

 

Posted Date: 10/17/2012 5:17:40 AM | Location : United States







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