Question

Assume the following respective probabilities for the positions of the two loads:

P(W1 at B) : 0.25
P(W1 at C) : 0.60
P(W2 at B) : 0.30
P(W2 at C): 0.50

Assuming that the positions of W1 and W2 are statistically independent; what are the respective probabilities associated with each of the possible values of MA.

Answer 1

What does "MA" signify?

Answer 2

this is the whole excercise:

Answer 3

Looks as if Ma is the value of the bending moment. Now it makes sense :)

Answer 4

An important property of independent events is that the probability of both occurring is the product of their probabilities. The formula is:
\[P(A \cap B)=P(A)\times P(B)\]
Therefore we find that
\[P(W1+W2\ at\ B)=0.25\times 0.30=?\]
Do you follow this?

Answer 5

If W1 and W2 are both at point B, the total load is 200 + 500 = 700 lb at a distance of 10 ft from the mounting. Therefore the bending moment is
\[700\times 10=7000\ lb-ft\]
The probability of this bending moment is
\[P(M _{A}=7000)=0.25\times 0.30=you\ can\ calculate\]

Answer 6

@marleisa.arocho Are you there?

Answer 7

and if there is only \[W _{1} at B\]

Answer 8

It is given that
\[P(W _{1}\ at\ B)=0.25\]
The bending moment is
\[200\times 10=2000\ lb-ft\]
\[P(M _{A}=2000)=0.25\]