How Do You Find Support Reactions in Structural Analysis?

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chetzread
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Homework Statement


I'm having problem of finding the support reactions of Va , Vb and Vc

Homework Equations

The Attempt at a Solution


My working is VA +VB +VC = 10+5(3)

VA +VB +VC = 25
But , when i sub in the value of VA , VB and VC , it doesn't satisfy the equation of VA +VB +VC = 10+5(3) , why I'm wrong ? [/B]
 
Attachments
  • Worked example solution page showing a beam with a hinge at B, 10 kN point load, 5 kN/m distributed load, reaction forces labelled, and support reaction equations for VA, VB and VC.
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    25.4 KB · Views: 500
  • Handwritten moment equilibrium working: sum of moments about A equals zero, giving +M + 10(1) - VB(2) = 0, then +M = 11.25(2) - 10 = 12.5kNm, and VA = -1.25 kN.
    327.jpg
    7.5 KB · Views: 461
Simon Bridge said:
Please explain your reasoning.
VA, vb and vc act upwards, while 10+5(3) act downward, upwards forces = downward forces