Reactions at grouted end of cantilever beam, Mechanical Engineering

Reactions at grouted end of cantilever beam:

Q: Find reactions at grouted end of cantilever beam shown in figure given below 

 

2286_Reactions at grouted end of cantilever beam.png

Draw free body diagram of the beam as shown in the figure. First change UDL in to point load. As Point A is fixed point that si, there is three reaction are developed, RAH, RAV, MA. Let ΣH & ΣV is sum of horizontal and vertical component of forces, The supported beam is in equilibrium, thus

R = 0,

∑H = ∑V =0

∑H = 0; RAH  = 0                                                         .......ANS

∑V = 0; RAV  - 50 + 15 = 0, ∑RAV = 35KN           .......ANS

Now taking moment about 'A'

-MA  + 50 × 2.5 + 100 - 15 × 14.5 = 0

∑MA = 7.5 KN-m                                                         .......ANS

Posted Date: 10/17/2012 5:34:07 AM | Location : United States







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