Problem #2: If two loads are applied to a cantilever beam as shown in the figure below, the bending moment at 0 due to the loads is a1X₁ + a2X2. Problem =2(a): Problem =2(b): compos Problem =2(c): 0 X1 1 a Suppose that X₁ and X₂ are independent random variables with means 2 and 5 kips, respectively, and standard deviations 0.7 and 1.5 kips. respectively. Suppose that a₁ = 3 ft and a2 = 10 ft. X₂ + s (a) Find the expected value of the bending moment. (b) Find the standard deviation of the bending moment. (c) If X₁ and X₂ are normally distributed, what is the probability that the bending moment will exceed 82 kip-ft? answer correct to 4 decimals answer correct to 4 decimals
Problem #2: If two loads are applied to a cantilever beam as shown in the figure below, the bending moment at 0 due to the loads is a1X₁ + a2X2. Problem =2(a): Problem =2(b): compos Problem =2(c): 0 X1 1 a Suppose that X₁ and X₂ are independent random variables with means 2 and 5 kips, respectively, and standard deviations 0.7 and 1.5 kips. respectively. Suppose that a₁ = 3 ft and a2 = 10 ft. X₂ + s (a) Find the expected value of the bending moment. (b) Find the standard deviation of the bending moment. (c) If X₁ and X₂ are normally distributed, what is the probability that the bending moment will exceed 82 kip-ft? answer correct to 4 decimals answer correct to 4 decimals
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem #2: If two loads are applied to a cantilever beam as shown in the figure below, the bending moment at 0 due to the
loads is a1X₁ + a₂X₂.
Problem =2(a)
Problem =2(b)
X1
Problem #2(c):
a
X₂
9
Suppose that X₁ and X2 are independent random variables with means 2 and 5 kips, respectively, and standard
deviations 0.7 and 1.5 kips. respectively. Suppose that a₁ = 3 ft and a2 = 10 ft.
(a) Find the expected value of the bending moment.
(b) Find the standard deviation of the bending moment.
(c) If X₁ and X₂ are normally distributed, what is the probability that the bending moment will exceed 82 kip-ft?
answer correct to 4 decimals
answer correct to 4 decimals
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