Equilibrium of Forces: Solving for VA and VD in a Statics Problem

[chetzread]

Homework Statement

I couldn't get the forces in equlibrium in this question

Homework Equations

The Attempt at a Solution

VA + VD = 35(3.5) + 10+15 = 147.5

sum of moment about D = -35(3.5)(1.75+ 3.7) +15(1) + VA(3.5 + 1.7+ 2) = 0
VA = 90.6upwards

Sum of moment about C = -35(3.5)(1.75+1.7) +10(0.7) -VD(2) +15(3) =0
VD = -185 ( downwards) ,

So, VA + VD = -185+ 90.6 = -94.4

So , VA + VD = 90.6 -185 = -94.4N , which is not 147.5N , which part of my working is wrong ?

 

[chetzread]

Which part of my working is wrong ?

 

[PhanthomJay]

Homework Statement

I couldn't get the forces in equlibrium in this question

Homework Equations

The Attempt at a Solution

VA + VD = 35(3.5) + 10+15 = 147.5

ok

sum of moment about D = -35(3.5)(1.75+ 3.7) +15(1) + VA(3.5 + 1.7+ 2) = 0
VA = 90.6upwards

you forgot the contribution of the 10 kN load at 1.3 m from D

Sum of moment about C = -35(3.5)(1.75+1.7) +10(0.7) -VD(2) +15(3) =0
VD = -185 ( downwards) ,

you forgot he contribution from VA. It's best to sum moments about A.

So, VA + VD = -185+ 90.6 = -94.4

So , VA + VD = 90.6 -185 = -94.4N , which is not 147.5N , which part of my working is wrong ?

see above