A steel beam has a plastic section modulus, Z, with a mean of 2×10-4 m3 with a coefficient of variation (COV) of 0.04. The yield stress of steel, fy, has a mean value of 375 MPa and COV of 0.07. Determine the probability that the bending strength of the beam, C=Z×fy, exceeds 75 kNm. Assume that the random variables Z and fy are lognormally distributed and statistically independent.
A steel beam has a plastic section modulus, Z, with a mean of 2×10-4 m3 with a coefficient of variation (COV) of 0.04. The yield stress of steel, fy, has a mean value of 375 MPa and COV of 0.07. Determine the probability that the bending strength of the beam, C=Z×fy, exceeds 75 kNm. Assume that the random variables Z and fy are lognormally distributed and statistically independent.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A steel beam has a plastic section modulus, Z, with a mean of 2×10-4 m3 with a coefficient of variation (COV) of 0.04. The yield stress of steel, fy, has a mean value of 375 MPa and COV of 0.07.
Determine the probability that the bending strength of the beam, C=Z×fy, exceeds 75 kNm. Assume that the random variables Z and fy are lognormally distributed and statistically independent.
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