Three springs, A, B and C, are connected as shown below, with one end of A and C attached to rigid supports. All springs are interconnected by a light, inextensible bar that is constrained from rotating. Also, forces of 250 N and 175 N are applied to the springs as shown. The stiffness of A, B and C are 100, 150 and 200 N/mm, respectively. By modelling each spring as a linear simplex finite element, determine: 1. (a) (b) (c) the global assembly the elongation of the springs the reactions at the supports (Ans: (b) u, = 1.417 mm, u, = 1.667 mm, uc = 11.417 mm (c) Ren = 141.67 N, left, Rint = 283.33 N, left) 250 N wW-→ A 175 N

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.63P: The cable of the suspension bridge spans L=140m with a sag H=20m. The cable supports a uniformly...
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1.
Three springs, A, B and C, are connected as shown below, with one end of A and C
attached to rigid supports. All springs are interconnected by a light, inextensible bar that
is constrained from rotating. Also, forces of 250 N and 175 N are applied to the springs
as shown. The stiffness of A, B and C are 100, 150 and 200 N/mm, respectively. By
modelling each spring as a linear simplex finite element, determine:
(a)
(b)
(c)
the global assembly
the elongation of the springs
the reactions at the supports
(Ans: (b) u, = 1.417 mm, u, = 1.667 mm, uc = 11.417 mm (c) Ren = 141.67 N,
left, Riaht = 283.33 N, left)
B
250 N
wwww-→
A
175 N
Transcribed Image Text:1. Three springs, A, B and C, are connected as shown below, with one end of A and C attached to rigid supports. All springs are interconnected by a light, inextensible bar that is constrained from rotating. Also, forces of 250 N and 175 N are applied to the springs as shown. The stiffness of A, B and C are 100, 150 and 200 N/mm, respectively. By modelling each spring as a linear simplex finite element, determine: (a) (b) (c) the global assembly the elongation of the springs the reactions at the supports (Ans: (b) u, = 1.417 mm, u, = 1.667 mm, uc = 11.417 mm (c) Ren = 141.67 N, left, Riaht = 283.33 N, left) B 250 N wwww-→ A 175 N
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