If the roller at A and the pin at B can support a load upto 4kN and 8kN, repsectively, determine the maximum intensity of the distributed load w, measured in kN/m, so that failure of the supports does not occur.

Solution :

Taken moment about point B;

Now calculating the resultant force at B,

     = 2.9929w

For no failure,

2.9929 w < 4 kN

And,

2.9929 w < 8 kN

w < 2.673 kN/m

For the safe operation, w = 2.673 kN/m  

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explanation: