Mathematics · Mechanics of Materials
A composite bar is made of two copper bars placed on either side of a steel bar. All three bars have a cross-sectional area of 1000 mm2 each. The values of Young's modulus for copper and steel are 100 kN/mm2 and 200 kN/mm2 respectively. If the copper bars are 350 mm long and the steel bar is 490 mm long, calculate the relationship between the load carried by the two copper bars together (Pc) and the load carried by the steel bar (Ps) under total deformation compatibility.
- 1Pc = 1.0Ps✓
- 2Pc = 0.7Ps
- 3Ps = 0.7Pc
- 4Pc = 1.4Ps
Correct answer
Pc = 1.0Ps
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