determine forces in beam with hinges

Jun 2014
306
0
Is it possible to find the VA , VB and VC without ' breaking ' the beam into 2 parts ?



2. Relevant equations


3. The attempt at a solution
Here's my working , i gt

Moment about A = 10(1) -VB(2) -VC(4) +5(3)(4 + (3/2) ) = 0 Hence , 92.5-2VB -4VC= 0

moment about B = VA(2) -10-VC(2) +(5)(3)(2 + (3/2) ) = 0 Hence , 42.5 + 2VA -2VC = 0

Moment about C = VA(4) -10(3) +VB(2) + (5)(3)(3/2) =0, Hence , -7.5 +4VA +2VB = 0

and sum of vertical force = VA +VB +VC = 25

Then , i solve the 4 equations using online calculator , i found that some of the values couldnt be found .

Or there's something wrong with my working ?
 

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