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Mastering Engineering with Pearson eText -- Access Card Package (14th Edition) Chapter 3.4, Problem 52P How do you obtain the three forces (final answers) FAB, FAC, and FAD

Mastering Engineering with Pearson eText -- Access Card Package (14th Edition) Chapter 3.4, Problem 52P How do you obtain the three forces (final answers) FAB, FAC, and FAD

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Solutions for Engineering Mechanics: Statics, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (14th Edition)

Chapter 3.4, Problem 52P

How do you obtain the three forces (final answers) FAB, FAC, and FAD from the given equations?

Equate the i component equal to zero. FAB A+ FAC [] + FAD [ = 0 (XI) -0.307FAB + 0.285FAC = 0 Equate the j component equal to zero. FAB A + FAC + FAD [ = 0 (XII) -0.923FAB – 0.857FAC + 0.923FAD = 0 Equate the k component equal to zero. FAB + FACH+ FAD – 400 = 0 (XIII) 0.230FAB + 0.428FAC + 0.384FAD = 400 Solve the equations (XI), (XII), and (XIII). FAB = 274 lb FAC = 295 lb FAD = 548 lb Thus, the tension (FAB) in cable AB is 274 lb. Thus, the tension (FaC) in cable AC is 295 lb. Thus, the force along the strut (FAD) is 548 lb.
Transcribed Image Text:Equate the i component equal to zero. FAB A+ FAC [] + FAD [ = 0 (XI) -0.307FAB + 0.285FAC = 0 Equate the j component equal to zero. FAB A + FAC + FAD [ = 0 (XII) -0.923FAB – 0.857FAC + 0.923FAD = 0 Equate the k component equal to zero. FAB + FACH+ FAD – 400 = 0 (XIII) 0.230FAB + 0.428FAC + 0.384FAD = 400 Solve the equations (XI), (XII), and (XIII). FAB = 274 lb FAC = 295 lb FAD = 548 lb Thus, the tension (FAB) in cable AB is 274 lb. Thus, the tension (FaC) in cable AC is 295 lb. Thus, the force along the strut (FAD) is 548 lb.
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