# Solution to Problem 224 Triaxial Deformation

# Solution to Problem 223 Triaxial Deformation

# Solution to Problem 222 Poisson's Ratio

# Solution to Problem 219 Axial Deformation

**Problem 219**

A round bar of length *L*, which tapers uniformly from a diameter *D* at one end to a smaller diameter d at the other, is suspended vertically from the large end. If *w* is the weight per unit volume, find the elongation of ω the rod caused by its own weight. Use this result to determine the elongation of a cone suspended from its base.

# Solution to Problem 218 Axial Deformation

**Problem 218**

A uniform slender rod of length L and cross sectional area A is rotating in a horizontal plane about a vertical axis through one end. If the unit mass of the rod is ρ, and it is rotating at a constant angular velocity of ω rad/sec, show that the total elongation of the rod is ρω^{2} L^{3}/3E.

# Solution to Problem 217 Axial Deformation

# Solution to Problem 216 Axial Deformation

**Problem 216**

As shown in Fig. P-216, two aluminum rods AB and BC, hinged to rigid supports, are pinned together at B to carry a vertical load P = 6000 lb. If each rod has a cross-sectional area of 0.60 in.^{2} and E = 10 × 10^{6} psi, compute the elongation of each rod and the horizontal and vertical displacements of point B. Assume α = 30° and θ = 30°.