Engineering Board Exam Reviewer · Strength of Materials · hard

A rigid plate distributes an axial load of 120 kN equally in strain to a steel rod (A = 500 mm2, E = 200 GPa) and an aluminum rod (A = 600 mm2, E = 70 GPa) acting in parallel. How much of the load is carried by the steel rod?

  1. 54.55
  2. 60
  3. 88.89
  4. 84.51

Answer

D. 84.51

Solution

Equal deformation requires P1/(A1E1) = P2/(A2E2). Steel share = P(A1E1)/(A1E1 + A2E2) = 120(500 × 200) / (500 × 200 + 600 × 70) = 84.51 kN.

More Strength of Materials questions

  1. A steel bar (E = 200 GPa, = 12 × 10-6 /° C) is held rigidly between two fixed walls so that it cannot expand. What compressive stress…
  2. A steel rail 15 m long ( = 12 × 10-6 /° C) is free to expand. By how many millimeters does it lengthen when its temperature rises by 50°C?
  3. A uniform bar of length 4 m is fixed rigidly at both ends. An axial load of 60 kN is applied at a point 1 m from the left end (A). What is…
  4. A rigid plate distributes an axial load of 100 kN equally in strain to a steel rod (A = 400 mm2, E = 200 GPa) and an aluminum rod (A = 600…
  5. A steel bar (E = 200 GPa, = 12 × 10-6 /° C) is held rigidly between two fixed walls so that it cannot expand. What compressive stress…
  6. A steel rail 10 m long ( = 12 × 10-6 /° C) is free to expand. By how many millimeters does it lengthen when its temperature rises by 40°C?
  7. A 18-mm diameter pin connects a clevis joint and is loaded in double shear by a total force of 60 kN. What is the average shear stress in…
  8. A metal bar in axial tension has an axial strain of 0.0012 and a Poisson's ratio of 0.35. What is the magnitude of the lateral…
  9. A steel rod (E = 200 GPa) 20 mm in diameter and 2.5 m long carries an axial tensile load of 60 kN. What is its total elongation?
  10. A solid circular rod 20 mm in diameter carries an axial tensile load of 50 kN. What is the normal stress in the rod?

All Strength of Materials Reviewer questions