2.23. An aluminum right-circular cylinder surrounds a steel cylinder as shown in Fig. 2-40. The axial compressive load of 200 kN is applied through the infinitely rigid cover plate shown. If the aluminum cylinder is originally 0.25 mm longer than the steel before any load is applied, find the normal stress in each when the temperature has dropped 20 K and the entire load is acting. For steel take E = 200 GPa: a = 12 × 10-*/°C, and for aluminum assume E = 70 GPa, a = 25 x 10° */°C. Ans. σ =9MPa, σ = 15.5 MPa 200 kN 80 mm- -85 mm 141 mm Fig. 2-40 500 mm

Structural Analysis
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Chapter2: Loads On Structures
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2.23. An aluminum right-circular cylinder surrounds a steel cylinder as shown in Fig. 2-40. The axial compressive
load of 200 kN is applied through the infinitely rigid cover plate shown. If the aluminum cylinder is
originally 0.25 mm longer than the steel before any load is applied, find the normal stress in each
when the temperature has dropped 20 K and the entire load is acting. For steel take E = 200 GPa:
a = 12 × 10-*/°C, and for aluminum assume E = 70 GPa, a = 25 x 10° */°C.
Ans. σ =9MPa, σ = 15.5 MPa
200 kN
80 mm-
-85 mm
141 mm
Fig. 2-40
500 mm
Transcribed Image Text:2.23. An aluminum right-circular cylinder surrounds a steel cylinder as shown in Fig. 2-40. The axial compressive load of 200 kN is applied through the infinitely rigid cover plate shown. If the aluminum cylinder is originally 0.25 mm longer than the steel before any load is applied, find the normal stress in each when the temperature has dropped 20 K and the entire load is acting. For steel take E = 200 GPa: a = 12 × 10-*/°C, and for aluminum assume E = 70 GPa, a = 25 x 10° */°C. Ans. σ =9MPa, σ = 15.5 MPa 200 kN 80 mm- -85 mm 141 mm Fig. 2-40 500 mm
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