Problem # p043 |

A beam is pinned horizontally into a wall on either end and subject to a single load P. In the following assume the force P, the lengths a and L as well as the modulus of elasticity E and the moment of inertia I of the beam's cross-section to be given. |

- What is (are) the boundary condition(s) for the deflection curve
at point A ?
- What is (are) the boundary condition(s) for the deflection curve
at point C ?
- How many boundary conditions do you have all together for the
deflection curve ?
- In the figure above, indicate and label the forces and/or moments the left wall is
exerting on the beam at point A.
- In the figure above, indicate and label the forces and/or moments the right wall is
exerting on the beam at point C.
- Find the equation for the internal moment M(x) in terms of the lengths
a and L, the force P and the force and moment acting on the beam at
point A. Use bracket functions if you like.
- Integrate the moment equation once to find EI dy/dx
- Integrate a second time to find the equation for EIy(x)
- Which quantities in the equation for EIy(x) are unknown
to you ?
- Do you have enough boundary conditions to solve for the unknowns ?
- Write out the equations you would solve to find all unknowns (including the integration constants).

**This is the end of this problem. Do NOT solve for the unknowns.**