Question

A composite bar 400 mm long consists of a solid copper shaft of 50 mm diameter enclosed within a steel tube 15 mm thick. This composite bar is subjected to an axial compressive load of 160 kN. E_steel = 200 GPa, E_brass = 100 GPa. Determine: a) the stress in each material b) the strain in each material c) the compression of the composite bar d) the portion of the load carried by each material.

Name: a composite bar 400 mm long consist of a solid copper shaft of 50 mm diameter enclosed within a steel tube 15 mm thick this composite bar is subjected to an axial compressive load of 160 kn 27957
Uploaded: 2022-12-14T18:46:07-08:00
Duration: 6 min 40 s
Channel: Sri K
Description: a composite bar 400 mm long consist of a solid copper shaft of 50 mm diameter enclosed within a steel tube 15 mm thick this composite bar is subjected to an axial compressive load of 160 kn 27957

          A composite bar 400 mm long consists of a solid copper shaft of 50 mm diameter enclosed within a steel tube 15 mm thick. This composite bar is subjected to an axial compressive load of 160 kN. E_steel = 200 GPa, E_brass = 100 GPa. Determine: a) the stress in each material b) the strain in each material c) the compression of the composite bar d) the portion of the load carried by each material.

Added by Stephanie L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

12/14/2022

Step 1

The stress in each material is given by the formula: Stress = Force/Area. The area of the copper shaft (Ac) is given by the formula for the area of a circle: Ac = π*(d/2)^2 = π*(50/2)^2 = 1963.5 mm^2. The outer diameter of the steel tube is 50 mm + 2*15 mm = 80 Show more…

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A composite bar 400 mm long consists of a solid copper shaft of 50 mm diameter enclosed within a steel tube 15 mm thick. This composite bar is subjected to an axial compressive load of 160 kN. E_steel = 200 GPa, E_brass = 100 GPa. Determine: a) the stress in each material b) the strain in each material c) the compression of the composite bar d) the portion of the load carried by each material.