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Displacement coordinates for a beam are shown in the given figure. The stiffness matrix is given by
- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
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Displacement coordinates for a beam are shown in the given figure. Th...
Stiffness matrix can be obtained by making second co-ordinate, i.e. rotation in the direction of 2 as zero and considering unit rotation in the direction of co-ordinate 1.
Rotational stiffness of beam AB
And rotational stiffness of beam BC
= 
Hence, required stiffness in the direction of 1 to produce unit rotation = 2El + El = 3El
Thus, K11 = 3El
As carry over factor is half,
Hence, moment generated at point C in the direction of co-ordinate 2 = 1/2 x EI
= 0.5 El
Similarly, make D1 = 0 and D2 = 1.0
∴ K12 = 0.5 El
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Displacement coordinates for a beam are shown in the given figure. The stiffness matrix is given bya)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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Displacement coordinates for a beam are shown in the given figure. The stiffness matrix is given bya)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Displacement coordinates for a beam are shown in the given figure. The stiffness matrix is given bya)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Displacement coordinates for a beam are shown in the given figure. The stiffness matrix is given bya)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
Displacement coordinates for a beam are shown in the given figure. The stiffness matrix is given bya)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Displacement coordinates for a beam are shown in the given figure. The stiffness matrix is given bya)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Displacement coordinates for a beam are shown in the given figure. The stiffness matrix is given bya)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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