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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. The frame below shows three beam elements OA, OB and OC, with identical length L and flexural rigidity EI, subject to an external moment M applied at the rigid joint O. The correct set of bending moments [MOX MOB, MOC] that develop at O in the three beam elements OA, OB and OC respectively, is
    ,img src="http://images.interviewmania.com/wp-content/uploads/2019/10/63-2.png">
    EI/L is constant for all three members
    1. [3M/8, M/ 8, 4M/8]
    2. [3M/11, 4M/11, 4M/11]
    3. [M/3, M/3, M/3]
    4. [3M/7, 0, 4M/7]
Correct Option: D

KOA =
3EI
l

KOC =
4EI
l

KOB = 0
DFOA =
KOA
KOA + KOC

=
3
=
3
EI
cancels
3 + 47l

DFOC =
KOC
KOC + KOA

=
4
=
4
4 + 37

DFOB = 0



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