Calculation of Bending Moments and beam deflection

[mm391]

Homework Statement

The picture of the beam below has a module of rigidity EI, determine the reactions at the supports and the equation of the deflection curve of the left half of the beam

Homework Equations

v*EI=((M_a*x²)/2)+((R_a*x³)/6)

Ʃ of Forces in Y direction = R_a+R_b=0
Ʃ Moments about A = M_a-M_o+M_b-R_a*L

The Attempt at a Solution

How do I go about finding R_a and R_b and M_a and M_b?

For the left had side of the beam the bending moment equation is M_a+R_a*x

Putting x = L/2 into the defelction equation gives me:

((M_a*L^2)/(8EI))=((-R_a*L^3)/(48EI))

 

[SteamKing]

Where's your picture of the beam?

 

[mm391]

Sorry I forgot to add the picture. It should be attached now.

 

[SteamKing]

The beam is statically indeterminate. You'll need to use double integration of the bending moment curve and the boundary conditions at the ends of the beam to solve for the reactions and moments at the ends.