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week 5-2

# week 5-2 - 6 ° C Steel Rod Dimensions as shown at 20°C...

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tal Strains and Elongations Total Strains and Elongations tal strain is a sum of the strain from the Total strain is a sum of the strain from the applied loads and from the temperature changes T Total ε σ + = Likewise, total elongation includes that from both applied loads and thermal effects TL A FL e Δ + = α EA

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ample Example Bars 1 – copper Rod 2 Aluminum Temperature increase is 65 °C a) Determine the internal 30 mm wide 12 mm thick E = 120 GPa 30 mm wide 24 mm thick E = 70 GPa axial force in the aluminum b) Compute the normal strain in the copper rods α₁ = 16.0 × 10 6 / ° C α₂ = 23.0 × 10 6 / ° C pp c) Determine the shear stress in the pins (11mm diameter)
ample Example Brass Link i i h t 20 E = 105 GPa α₁ = 20.9 × 10

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Unformatted text preview: 6 / ° C Steel Rod Dimensions as shown at 20°C Assembly is cooled and the rod is placed into link. Then, it is heated to 40°C E ₂ = 200 GPa α₂ = 11.7 × 10 ‐ 6 / ° C a) Determine the normal stress in the steel rod b) The deformation of the steel rod ample Example A ‐ 36 Steel E ₁ = 200 GPa α₁ = 12.0 × 10 ‐ 6 / ° C D ₁ = 40 mm 014 Aluminum 2014 ‐ T6 Aluminum E ₂ = 73.1 GPa α₂ = 23.0 × 10 ‐ 6 / ° C D ₂ = 60 mm Shafts are 250 mm long at 20°C. Determine force supported by each shaft if the load on the rigid bar is 150 kN/m and the temperature is raised to 80°C....
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week 5-2 - 6 ° C Steel Rod Dimensions as shown at 20°C...

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