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The horizontal deflection of roller end D of the following frame is (take b = 2a and EI is flexural rigidity of the frame)
  • a)
  • b)
  • c)
  • d)
     
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The horizontal deflection of roller end D of the following frame is (t...
At A there will be the horizontal reaction = P Total strain energy stored by the frame (U),
= strain energy stored by the section AB + Strain energy stored by BC + strain energy stored by the section CD

Strain energy stored by the member AB = Strain energy stored by the member CD
U = 2 × Strain energy stored by the section AB + Strain energy stored by section BC
Consider a section Y-Y in AB column at a distance of y from end A,
Bending moment, M = P × y

In section BC, bending moment at any distant x from AB section and it will be constant throughout section BC = = P × b

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The horizontal deflection of roller end D of the following frame is (take b = 2a and EI is flexural rigidity of the frame)a)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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