See Section 5.5.) If two loads are applied to a cantilever beam as shown in the

Question

See Section 5.5.) 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 Xi a1 a2 (a) Supposethat X1 and X2 are independent rv's with means 3 and 6 kips, respectively, and standard deviations 0.9 and 1.8 kip, respectively. If a1 = 10 ft and a2 = 20 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.) expected bending moment 150 standard deviation kip-ft X kip 45 (b) If X1 and X2 are normally distributed, what is the probability that the bending moment will exceed 75 kip-ft? (Round your answer to four decimal places.) 0.95254 You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

a)expected bending moment =10*3+20*6=150

std deviation =((10*0.9)2+(20*1.8)2)1/2 =37.108

b)

probability =P(X>75)=P(Z>(75-150)/37.108)=P(Z>-2.0211)=0.9784

please revert for any clarification required

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