18. The two loads are normally and independently distributed as F₁ ~ N(850, 5²) N and F₂ ~ N(600, 4²) N. Determine the distributions of the horizontal and vertical forces at pins A and C.

Solution

Member AB:

Member BC:

Solve the above two equations, we can obtain the distributions of B_x and B_y.

Member AB:

And

Then, we can have:

Ans.

Ans.

Ans.

Ans.

Member BC:

And

Thus, we can obtain:

Ans.

Ans.

Ans.

Ans.