Please show all work

Consider the continuously tapered beam under an axial load shown below. The initial diameter

d₁ = 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.

a.

Use minimum total potential energy formulation to solve for total deflection & using 4

equally divided elements.

b. Compare solution to analytical result. Note: Can use the derived formula from class.

1

d

F