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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
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- [3M/8, M/ 8, 4M/8]
- [3M/11, 4M/11, 4M/11]
- [M/3, M/3, M/3]
- [3M/7, 0, 4M/7]
Correct Option: D
KOA = | l |
KOC = | l |
KOB = 0
DFOA = | KOA + KOC |
= | = | cancels | ||||||
3 + 4 | 7 | l |
DFOC = | KOC + KOA |
= | = | |||
4 + 3 | 7 |
DFOB = 0