A point load of 2.236kN is applied at point 3 of a frictionless pin- jointed structure which consists of members as shown in Fig Q2. Displacements at point 1 are fixed in x and y directions whereas only displacement in y direction is fixed at point 2. Member 1 has end points 1 and 2, member 2 has end points 2 and 3 and member 3 has end points 1 and 3. The cross sectional areas of member 1, 2 and 3 are 500 mm², 250 mm² and 1414.42 mm² respectively. Length of both member 1 and 2 is 10 m. Young's modulus (E) for all members is 200,000 N/mm². (a) N 2.236 KN 117 Fig Q2: Pin-jointed structure Write down element stiffness matrix for each member and assemble the global stiffness matrix for the whole structure.
A point load of 2.236kN is applied at point 3 of a frictionless pin- jointed structure which consists of members as shown in Fig Q2. Displacements at point 1 are fixed in x and y directions whereas only displacement in y direction is fixed at point 2. Member 1 has end points 1 and 2, member 2 has end points 2 and 3 and member 3 has end points 1 and 3. The cross sectional areas of member 1, 2 and 3 are 500 mm², 250 mm² and 1414.42 mm² respectively. Length of both member 1 and 2 is 10 m. Young's modulus (E) for all members is 200,000 N/mm². (a) N 2.236 KN 117 Fig Q2: Pin-jointed structure Write down element stiffness matrix for each member and assemble the global stiffness matrix for the whole structure.
Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter11: Columns
Section: Chapter Questions
Problem 11.2.11P: The figure shows an idealized structure consisting of an L-shaped rigid bar structure supported by...
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s 2a
![A point load of 2.236kN is applied at point 3 of a frictionless pin-
jointed structure which consists of members as shown in Fig Q2.
Displacements at point 1 are fixed in x and y directions whereas only
displacement in y direction is fixed at point 2.
Member 1 has end points 1 and 2, member 2 has end points 2 and 3
and member 3 has end points 1 and 3. The cross sectional areas of
member 1, 2 and 3 are 500 mm², 250 mm² and 1414.42 mm²
respectively. Length of both member 1 and 2 is 10 m. Young's
modulus (E) for all members is 200,000 N/mm².
(a)
N
2.236 KN
117
Fig Q2: Pin-jointed structure
Write down element stiffness matrix for each member and
assemble the global stiffness matrix for the whole structure.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7419f2cc-aeda-4dec-9d87-b880641fc307%2F6554b1f3-1e4d-4992-a3c0-223c6a8dc434%2Ffmuuz4g_processed.png&w=3840&q=75)
Transcribed Image Text:A point load of 2.236kN is applied at point 3 of a frictionless pin-
jointed structure which consists of members as shown in Fig Q2.
Displacements at point 1 are fixed in x and y directions whereas only
displacement in y direction is fixed at point 2.
Member 1 has end points 1 and 2, member 2 has end points 2 and 3
and member 3 has end points 1 and 3. The cross sectional areas of
member 1, 2 and 3 are 500 mm², 250 mm² and 1414.42 mm²
respectively. Length of both member 1 and 2 is 10 m. Young's
modulus (E) for all members is 200,000 N/mm².
(a)
N
2.236 KN
117
Fig Q2: Pin-jointed structure
Write down element stiffness matrix for each member and
assemble the global stiffness matrix for the whole structure.
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