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
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
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e6775b7-1a6c-45f2-aef9-d8db9809e5f0%2F562ff657-3059-44c1-8f52-16d2b4f40b85%2F8uclo1_processed.png&w=3840&q=75)
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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