Beer & Johnston — Stress and Strain—Axial Loading: Problem 2.126

2.126 Two solid cylindrical rods are joined at B and loaded as shown. Rod AB is made of steel (\(E = 29 \times 10^6\) psi), and rod BC of brass (\(E = 15 \times 10^6\) psi). Determine (a) the total deformation of the composite rod ABC, (b) the deflection of point B. Given values from Figure P2.126: - Segment BC: Length \(L_{BC} = 30\) in., Diameter \(d_{BC} = 3\) in. Material: Brass (\(E_{br} = 15 \times 10^6\) psi). - Segment AB: Length \(L_{AB} = 40\) in., Diameter \(d_{AB} = 2\) in. Material: Steel (\(E_{st} = 29 \times 10^6\) psi). - Support: Point C is fixed to a rigid ceiling. - Loads: Two downward forces of 30 kips each are applied at junction B. A downward force \(P = 40\) kips is applied at the free end A.