The stiffness matrix for a Timoshenko beam-column element in its local coordinate system (where x is along the beam length) is: L² A (1+ 4) L²A (1 + 0) 12 6L -12 6L E I 6L L²(4 + $) -6L L?(2 – 4) [K'] = L³ (1 + $) L²A L²A (1+ ø) 7(1+ $) -12 -6L 12 -6L 6L L2 (2 — Ф) -6L L2(4 + ¢)] 12EI GAĻL² a) Derive the transformation matrix [T] for this element, such that the stiffness matrix of the element can be transformed to the global coordinate system using the following relation: [K] = [T.]*[K°][7.]
The stiffness matrix for a Timoshenko beam-column element in its local coordinate system (where x is along the beam length) is: L² A (1+ 4) L²A (1 + 0) 12 6L -12 6L E I 6L L²(4 + $) -6L L?(2 – 4) [K'] = L³ (1 + $) L²A L²A (1+ ø) 7(1+ $) -12 -6L 12 -6L 6L L2 (2 — Ф) -6L L2(4 + ¢)] 12EI GAĻL² a) Derive the transformation matrix [T] for this element, such that the stiffness matrix of the element can be transformed to the global coordinate system using the following relation: [K] = [T.]*[K°][7.]
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
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