3.6 Consider a three-span continuous beam. All supports are pinned supports. Each span has a length of L. The beam has a modulus of elasticity E and a moment of inertia I. All spans are subjected to a uniformly distributed load w. The maximum deflection of the beam occurs in the outer spans and is equal to 0.0069 WL* EI Your job is to evaluate the probability that the deflection will exceed the code-specified limit of L/360 given the following information: L = 5 m (deterministic). wis lognormal with a mean value of 10 kN/m and a coefficient of variation of 0.4. E is lognormal with a mean value of 2 x 107 kN/m² and a coefficient of variation of 0.25. Iis lognormal with a mean value of 8 x 10-4 m4 and a standard deviation of 1.5 x 10-4 m4.
3.6 Consider a three-span continuous beam. All supports are pinned supports. Each span has a length of L. The beam has a modulus of elasticity E and a moment of inertia I. All spans are subjected to a uniformly distributed load w. The maximum deflection of the beam occurs in the outer spans and is equal to 0.0069 WL* EI Your job is to evaluate the probability that the deflection will exceed the code-specified limit of L/360 given the following information: L = 5 m (deterministic). wis lognormal with a mean value of 10 kN/m and a coefficient of variation of 0.4. E is lognormal with a mean value of 2 x 107 kN/m² and a coefficient of variation of 0.25. Iis lognormal with a mean value of 8 x 10-4 m4 and a standard deviation of 1.5 x 10-4 m4.
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:3.6 Consider a three-span continuous beam. All supports are pinned supports. Each span has a length of
L. The beam has a modulus of elasticity E and a moment of inertia I. All spans are subjected to a
uniformly distributed load w. The maximum deflection of the beam occurs in the outer spans and is
equal to
0.0069
EI
Your job is to evaluate the probability that the deflection will exceed the code-specified limit of L/360
given the following information:
L = 5 m (deterministic).
w is lognormal with a mean value of 10 kN/m and a coefficient of variation of 0.4.
E is lognormal with a mean value of 2 × 107 kN/m² and a coefficient of variation of 0.25.
Iis lognormal with a mean value of 8 × 10-4 m² and a standard deviation of 1.5 x 10-4 m*.
Calculate the probability of failing the deflection criterion.
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