- #1
PythagoreLove
- 19
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Homework Statement
Calculate the reaction MA
http://alkaspace.com/is.php?i=134123&img=E-3.1.jpg
Homework Equations
The Attempt at a Solution
First I have put the reaction By as an hyper static force. Then I found the deflection in B with the force By as a variable.
vb= [itex]\frac{w}{24EI}[/itex](3L4-4a3L+a4) - [itex]\frac{B_{y}L^{3}}{3EI}[/itex]
Then I know that vb=0 because it is on a reaction. With that I find that
By= [itex]\frac{w}{8L^{3}}[/itex][3L4-4a3L+a4]
Now I just have to calculate the moment with
Mb=(a+b/2)bw-LBy
My final answer is [itex]\frac{wb^{2}}{8L^{2}}[2L^{2}+6L^{4}-b^{2}][/itex]
In the book, the final answer is [itex]\frac{wb^{2}}{8L^{2}}[2L^{2}-b^{2}][/itex].
I only have a 6L4 that isn't supposed to be here. Please help.
PytLov