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 8 using 4 equally divided elements. b. Compare solution to analytical result. Note: Can use the derived formula from class. To L