Problem 4.3 The uniform, horizontal beam shown in Fig. 4.50 is hinged to the ground at point A and supported by a friction- less roller at point D. The distance between points A and B is 1 = 4 m and the distance between points A and D is d= 3 m. A force that makes an angle B= 60° with the horizontal is applied at point B. The magnitude of the applied force is P = 1000 N. The total weight of the beam is W = 400 N. %3D %3D %3D %3D By noting that three-quarters of the beam is on the left of the roller support and one-quarter is on the right, calculate the x and y components of reaction forces on the beam at points A and D. Answers: Rp = 1421 N (↑) RAx = 500N (-) RAV = 155N ()

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Fundamentals of BlUmUT
If the diving board has a total weight of 1500 N, determine the
reactions on the beam at points A and D.
Answers: RA
2318 N (1) Rp = 4602N (1)
Problem 4.3 The uniform, horizontal beam shown in Fig. 4.50
is hinged to the ground at point A and supported by a friction-
less roller at point D. The distance between points A and B is
1 = 4 m and the distance between points A and D is d = 3 m.
A force that makes an angle B= 60° with the horizontal
is applied at point B. The magnitude of the applied force is
P = 1000 N. The total weight of the beam is W = 400 N.
%3D
d
A
By noting that three-quarters of the beam is on the left of the
roller support and one-quarter is on the right, calculate
the x and y components of reaction forces on the beam at points
A and D.
Fig. 4.50 Problem 4.3
Answers: Rp = 1421 N (↑) RAX
500N (-) RAy
%3D
155N (1)
%3D
Problem 4.4 The uniform, horizontal beam shown in Fig. 4.51 is
hinged to the wall at point A and supported by a cable attached
to the beam at point C. Point C also represents the
of
Transcribed Image Text:Fundamentals of BlUmUT If the diving board has a total weight of 1500 N, determine the reactions on the beam at points A and D. Answers: RA 2318 N (1) Rp = 4602N (1) Problem 4.3 The uniform, horizontal beam shown in Fig. 4.50 is hinged to the ground at point A and supported by a friction- less roller at point D. The distance between points A and B is 1 = 4 m and the distance between points A and D is d = 3 m. A force that makes an angle B= 60° with the horizontal is applied at point B. The magnitude of the applied force is P = 1000 N. The total weight of the beam is W = 400 N. %3D d A By noting that three-quarters of the beam is on the left of the roller support and one-quarter is on the right, calculate the x and y components of reaction forces on the beam at points A and D. Fig. 4.50 Problem 4.3 Answers: Rp = 1421 N (↑) RAX 500N (-) RAy %3D 155N (1) %3D Problem 4.4 The uniform, horizontal beam shown in Fig. 4.51 is hinged to the wall at point A and supported by a cable attached to the beam at point C. Point C also represents the of
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