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Worked Examples-Calculation Part 2 - Equilibrium

Considered Formula;

i)C.W.M=A.C.W.M Where  C.W.MSum of clockwise moment,A.C.W.MSum of Anticlockwise moment ii)Fu=Fd Where  FuSum of upward forces,FdSum of downward forces

Example 1

A heavy uniform beam AB of weight 500N is supported at its ends. The beam carries a weight of 300N at a distance of 1.5m from the end A. if the beam is 4m long. Find the thrust/tension/reaction at A and B

Solution

Turning point at Point A

Sum of clockwise moment=3000(1.5)+500(2)                                                =4500+1000                                                =5500 Nm

Sum of Anticlockwise moment=Y(4)                                                              =4Y                                              C.W.M=A.C.W.M                                             5500=4Y                                            55004=4Y4                                              Y=1375 N

                Sum of upward forces=Sum of downward forces                     X+Y=3000+500                 X+1375=3500              X=35001375                  =2125 N

The reactions at A and B are 1375 N and 2125 N respectively


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