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The steel beam shown is subjected to a uniformly distributed load () with mean = 3 kip/ft

and coefficient of variation (c.o.v.) of 0.20. The mean yield stress of the steel is = 47 ksi and the c.o.v. is

0.12. The section modulus () equals 50 in3

. What is the probability of failure by plastic collapse, assunung

that the load and yield strength both have (a) normal distributions and (b) lognormal distributions? [Answer:

ApF = 0.0015, (b) pF = 0.0023]

The steel beam shown is subjected to a uniformly distributed load () with mean = 3 kip/ft and coefficient of variation (c.o.v.) of 0.20. The mean yield stress o class=

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