- #1

yecko

Gold Member

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## Homework Statement

## Homework Equations

Boundary condition

EI(d^4y/dx^4)=w

## The Attempt at a Solution

Boundary condition:

At A, x=0, y=0, slope=0

At C, x=L/2, y=0, shear force = -Rb

At B, x=L, y=0, moment = 0, shear force = 0

I know there are 2 distinctive formulae for A-C and C-B.

For A-C:

**Load**: EI(d^4y/dx^4)=w -----(1)

**Shear**:EI(d^3y/dx^3)=wx+A-----(2)

**Moment**: EI(d^2y/dx^2)=1/2*wx^2+Ax+B-----(3)

EI(dy/dx)=1/6*wx^3+1/6*Ax^2+Bx+C-----(4)

EIy=1/24*wx^4+1/6*Ax^3+1/2*Bx^2+Cx+D-----(5)

However, with this 5 equations, with 4 unknowns, and the boundary conditions, it seems Rb cannot be solved out.

May I know how should I tackle this problem?

Thank you