A 20-ft cantilever beam is shown in the figure below. Load W, = 200 lb, or W, = 500 lb, or both may e applied at the midpoint B or at the end point of the beam C. The bending moment induced at the fixed support A, MA, will depend on the magnitudes of the loads at B and C. 10 ft 10 ft 1. A в 20-ft cantilever beam. a) Determine the sample space of M,? b) Define the following events: E1 = (Ma > 5,000 ft – lb) E2 = (1,000 < M, < 12,000ft – lb) Ez = (2,000; 7,000 ft – lb) Are the events E, and E2 mutually exclusive? Explain why.
A 20-ft cantilever beam is shown in the figure below. Load W, = 200 lb, or W, = 500 lb, or both may e applied at the midpoint B or at the end point of the beam C. The bending moment induced at the fixed support A, MA, will depend on the magnitudes of the loads at B and C. 10 ft 10 ft 1. A в 20-ft cantilever beam. a) Determine the sample space of M,? b) Define the following events: E1 = (Ma > 5,000 ft – lb) E2 = (1,000 < M, < 12,000ft – lb) Ez = (2,000; 7,000 ft – lb) Are the events E, and E2 mutually exclusive? Explain why.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 62E
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Transcribed Image Text:c) Assume the following respective probabilities for the positions of the two loads:
P(W,at B) = 0.25
P(W,at C) = 0.60
P(W2at B) = 0.30
P(W2at C) = 0.50
Assuming that the positions of W,and W, are statistically independent; what are the respective
probabilities associated with each of the possible values of M,?
d) Determine the possibilities of the following events:
E1, E2, E3, E, N E2, E, U E2, and E2
Transcribed Image Text:Question 2 (Ang and Tang Vol. I, Second Edition, Problem 2.5, Page 66):
A 20-ft cantilever beam is shown in the figure below. Load W, = 200 lb, or W, = 500 lb, or both may e
applied at the midpoint B or at the end point of the beam C. The bending moment induced at the fixed
support A, MA, will depend on the magnitudes of the loads at B and C.
10 ft
10 ft
A
B
20-ft cantilever beam.
a) Determine the sample space of M,?
b) Define the following events:
E = (MA > 5,000 ft – lb)
E2 = (1,000 < Ma < 12,000ft – lb)
Ez = (2,000; 7,000 ft – lb)
Are the events E, and E2 mutually exclusive? Explain why.
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