If two loads are applied to a cantilever beam as shown in the accompanying drawi

Question

If two loads are applied to a cantilever beam as shown in the accompanying drawing, the bending moment at 0 due to the loads is

a1X1 + a2X2.

(a) Suppose that X1 and X2 are independent rv's with means 4 and 8 kips, respectively, and standard deviations 1.0 and 2.0 kip, respectively. If

a1 = 9 ft

and

a2 = 18 ft,

what is the expected bending moment and what is the standard deviation of the bending moment? (Round your standard deviation to three decimal places.)

Ai's

and

Xi's

Corr(X1, X2) = 0.5

Explanation / Answer

If two loads are applied to a cantilever beam as shown in the accompanying drawi

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