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Statics: Bending of a beam/evenly distributed force problem 
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#1
Jan1713, 02:01 PM

P: 8

Hello, and sorry for my English, as I am Norwegian.
I have a statics problem which I can not understand. I've taken a pic from my book: The problem asks me to find the largest bending stress, σ_{b}, in the incisions 1 and 2. I have the solution in front of me, I just don't understand what they have done with the evenly distributed force (q). Especially in incision 2, when they find M_{b}, they have used: M_{b} = F_{A}*a_{A}q*2.5m*1.25. The q*2.5m I can understand, but where does the 1.25 come from? I thought it should be divided by 2? Can someone explain how this works for me? 


#2
Jan1713, 03:11 PM

P: 5,462

In particular what is a_{A} and M_{b} ? You have not provided symbols for the reactions at A and B? Do you know how to calculate these reactions? You should start by writing the equation for the bending moments for 16.2 and 16.3, using x for the horizontal axis and starting with x=0 at A. Can you do this? It will have the form M = some function of x and the loads to the left of x. 


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