A brass link (Eb = 105 GPa, ɑb = 20.9 x 10-6/ºC) and a steel rod (Eş = 200 GPa, as = 11.7 x 106°C) have the dimensions shown at a temperature of 20°C. The steel rod is cooled until it fits freely into the link. The temperature of the whole assembly is then raised to 45°C. Determine a.) The final stress in the steel rod b.) The final length of the steel rod -A 50 mm Brass C37.5 mm 37.5 mm 0.12 mm 250 mm → 30-mm diameter Steel Section A-A

Structural Analysis
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Chapter2: Loads On Structures
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A brass link (Eb = 105 GPa, ab = 20.9 x 106/°C) and a steel rod (Es = 200 GPa, as = 11.7 x 106/°C) have
the dimensions shown at a temperature of 20°C. The steel rod is cooled until it fits freely into the link. The
temperature of the whole assembly is then raised to 45°C. Determine
a.) The final stress in the steel rod
b.) The final length of the steel rod
50 mm
Brass
37.5 mm
37.5 mm
0.12 mm
-250 mm
30-mm diameter
Steel
Section A-A
Transcribed Image Text:A brass link (Eb = 105 GPa, ab = 20.9 x 106/°C) and a steel rod (Es = 200 GPa, as = 11.7 x 106/°C) have the dimensions shown at a temperature of 20°C. The steel rod is cooled until it fits freely into the link. The temperature of the whole assembly is then raised to 45°C. Determine a.) The final stress in the steel rod b.) The final length of the steel rod 50 mm Brass 37.5 mm 37.5 mm 0.12 mm -250 mm 30-mm diameter Steel Section A-A
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