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As shown in figure (a), a scoreboard is suspended above a sports arena by two cables, pinned at A, B, and C. The cables are initially horizontal and of length L. After the scoreboard is hung, a free-body diagram at node B can be developed as shown in figure (b). Assuming that the weight of each cable is negligible, determine the deflection, d (m), that results if the scoreboard weighs W= 9000 M Also, compute how much each cable is elongated. Note that each cable obeys Hooke's law such that the axial elongation is represented by L'-L= FL/(A E, where F= the axial force (N), Ac = the cable's cross-sectional area (m2), and E= the modulus of elasticity (N/m2). Use the following parameters for your calculations: L= 45 m, Ac= 6.362 x 10-4 m2, and E = 1.5 x 1011 N/m2. L' The Rabld Hippos LS:20 Pertod Home Visitor 1034 8S (0) F- (b) (a) Two thin cables pinned at A, B, and C with a scoreboard suspended from B (b) Free-body diagram of the pin at B after the scoreboard is hung (Round the final answers to four decimal places.) The value of the deflection is m. The elongation of each cable is m.

As shown in figure (a), a scoreboard is suspended above a sports arena by two cables, pinned at A, B, and C. The cables are initially horizontal and of length L. After the scoreboard is hung, a free-body diagram at node B can be developed as shown in figure (b). Assuming that the weight of each cable is negligible, determine the deflection, d (m), that results if the scoreboard weighs W= 9000 M Also, compute how much each cable is elongated. Note that each cable obeys Hooke's law such that the axial elongation is represented by L'-L= FL/(A E, where F= the axial force (N), Ac = the cable's cross-sectional area (m2), and E= the modulus of elasticity (N/m2). Use the following parameters for your calculations: L= 45 m, Ac= 6.362 x 10-4 m2, and E = 1.5 x 1011 N/m2. L' The Rabld Hippos LS:20 Pertod Home Visitor 1034 8S (0) F- (b) (a) Two thin cables pinned at A, B, and C with a scoreboard suspended from B (b) Free-body diagram of the pin at B after the scoreboard is hung (Round the final answers to four decimal places.) The value of the deflection is m. The elongation of each cable is m.

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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As shown in figure (a), a scoreboard is suspended above a sports arena by two cables, pinned at A, B, and C. The cables are initially horizontal and of length L. After the scoreboard is hung, a free-body diagram at node B can be developed as shown in figure (b). Assuming that the weight of each cable is negligible, determine the deflection, d (m), that results if the scoreboard weighs W= 9000 N Also, compute how much each cable is elongated. Note that each cable obeys Hooke's law such that the axial elongation is represented by L'-L= FL/(A E, where F= the axial force (N), Ac= the cable's cross-sectional area (m2), and E= the modulus of elasticity (N/m2). Use the following parameters for your calculations: L= 45 m, Ac= 6.362 x 10-4 m2, and E = 1.5 x 1011 N/m2. L' The Rabld Hippos L5:20 Perlod Home Visitor 1034 8S (0) F- (b) (a) Two thin cables pinned at A, B, and C with a scoreboard suspended from B (b) Free-body diagram of the pin at B after the scoreboard is hung (Round the final answers to four decimal places.) The value of the deflection is m. The elongation of each cable is m.
Transcribed Image Text:As shown in figure (a), a scoreboard is suspended above a sports arena by two cables, pinned at A, B, and C. The cables are initially horizontal and of length L. After the scoreboard is hung, a free-body diagram at node B can be developed as shown in figure (b). Assuming that the weight of each cable is negligible, determine the deflection, d (m), that results if the scoreboard weighs W= 9000 N Also, compute how much each cable is elongated. Note that each cable obeys Hooke's law such that the axial elongation is represented by L'-L= FL/(A E, where F= the axial force (N), Ac= the cable's cross-sectional area (m2), and E= the modulus of elasticity (N/m2). Use the following parameters for your calculations: L= 45 m, Ac= 6.362 x 10-4 m2, and E = 1.5 x 1011 N/m2. L' The Rabld Hippos L5:20 Perlod Home Visitor 1034 8S (0) F- (b) (a) Two thin cables pinned at A, B, and C with a scoreboard suspended from B (b) Free-body diagram of the pin at B after the scoreboard is hung (Round the final answers to four decimal places.) The value of the deflection is m. The elongation of each cable is m.
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