Question

A beam AB of length 5m supported at A and B carries two point load w1 and w2 of 3KN and 5KN which are 1m Apart. It the reaction at B is 2KN more than that at A, find the distance between the support A and the load 3KN

Answer 1

Step-by-step explanation:

Given  A beam AB of length 5m supported at A and B carries two point load w1 and w2 of 3KN and 5KN which are 1m Apart. It the reaction at B is 2KN more than that at A, find the distance between the support A and the load 3KN

• Now there is a beam AB    
•  So B = A + 2 (since it carries 2 KN more than A)
• Also A + B – 3 – 5 = 0
•   So A + (A + 2) – 3 – 5 = 0  
•   So  2A – 6 = 0
•        2A = 6
•      Or A = 6/2
•       Or A = 3 KN
• So B = A + 2
•        = 3 + 2
•      B = 5 KN
• Now we have
•   3m + 5(m + 1) – B(5) = 0
•    3m + 5m + 5 – 5(5) = 0 (since B = 5)
•          8m + 5 – 25 = 0
•         8m – 20 = 0
•          8m = 20
•         Or m = 20 / 8
•         Or m = 2.5 m

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