Question

Problem 1 Load (P) applied at mid-span of a simply supported beam which spans $L = 40$ ft, and resisting moment (M) are both discrete random variables. It is equally likely for P to assume values 10, 12, 14, and 16 kips. M can assume the values 110, 130, 150, 170, and 190 ft-kips, according to the binomial distribution with parameter 0.5. Determine the failure probability, $p_F = P[M < PL/4]$. [Answer: $P = 0.265625$]

Name: Problem 1 Load (P) applied at mid-span of a simply supported beam which spans L = 40 ft, and resisting moment (M) are both discrete random variables. It is equally likely for P to assume values 10, 12, 14, and 16 kips. M can assume the values 110, 130, 150, 170, and 190 ft-kips, according to the binomial distribution with parameter 0.5. Determine the failure probability, pF = P[M < PL/4]. [Answer: P = 0.265625]
Uploaded: 2022-11-18T00:35:01-08:00
Duration: 4 min 37 s
Channel: Chai Santi

          Problem 1 Load (P) applied at mid-span of a simply supported beam which spans $L = 40$ ft, and resisting moment (M) are both discrete random variables. It is equally likely for P to assume values 10, 12, 14, and 16 kips. M can assume the values 110, 130, 150, 170, and 190 ft-kips, according to the binomial distribution with parameter 0.5. Determine the failure probability, $p_F = P[M < PL/4]$. [Answer: $P = 0.265625$]

Problem 1 Load (P) applied at mid-span of a simply supported beam which spans L = 40 ft, and resisting moment (M) are both discrete random variables. It is equally likely for P to assume values 10, 12, 14, and 16 kips. M can assume the values 110, 130, 150, 170, and 190 ft-kips, according to the binomial distribution with parameter 0.5. Determine the failure probability, pF = P[M < PL/4]. [Answer: P = 0.265625]

Added by Adam D.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Chai Santi

11/18/2022

Step 1

Step 1: The failure probability is defined as the probability that the moment M is less than PL/4. Show more…

Show all steps

Thanks for your feedback!

Problem 1 Load (P) applied at mid-span of a simply supported beam which spans L = 40 ft, and resisting moment (M) are both discrete random variables. It is equally likely for P to assume values 10, 12, 14, and 16 kips. M can assume the values 110, 130, 150, 170, and 190 ft-kips, according to the binomial distribution with parameter 0.5. Determine the failure probability, $p_F = P[M < PL/4]$. [Answer: P = 0.265625] P L