13. The distributed load w follows a normal distribution of N(2.5, 0.05²) kN/m. The two pins at A and B can support a maximum load of 15 KN, what are the probabilities of failures of the two pins?

Solution

Where the intensity of load follows the normal distribution N(2.5, 0.05²) kN/m, then we can obtain

Therefore, we obtain the distributions of N_A ~ N(13.75, 0.275²) kN and N_B ~ N(8.75, 0.175²) kN. Ans.

The probability that pin A might fail is

Ans.

The probability that roller B might fail is

Ans.