1. Find the analytical solution for the following tapered beam under an axial load, solving

for total deflection 8. The initial diameter di = 0.75 in, the final diameter df = 0.125 in,

the length L = 12 in, Young's Modulus E = 29(10)6 psi and the force F = 178 kips.

Derive using real numbers and procedure in class. *Can use calculator for definite

integral step.

2. Use numerical methods to solve for total deflection with 1, 2, 3 and 4 elements. Do

calculations by hand and show all work! May treat as springs in series. Graph deflection

vs. number of elements to show convergence on analytical solution.

d.

14

F

LL

7