Engineering Board Exam Reviewer · Strength of Materials · hard

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 mm2, E = 70 GPa) acting in parallel. How much of the load is carried by the steel rod?

  1. 40
  2. 50
  3. 74.07
  4. 65.57

Answer

D. 65.57

Solution

Equal deformation requires P1/(A1E1) = P2/(A2E2). Steel share = P(A1E1)/(A1E1 + A2E2) = 100(400 × 200) / (400 × 200 + 600 × 70) = 65.57 kN.

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