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i.e., at a temperature of (20 + 43.3) = 63.3 $^\circ$C. Example 11.6 A steel bolt of diameter 12 mm and length 175 mm is used to clamp a brass sleeve of length 150 mm to a rigid base plate as in Figure 11.7. The sleeve has an internal diameter of 25 mm and a wall thickness of 3 mm. The thickness of the base plate is 25 mm. Initially, the nut is tightened until there is tensile force of 5 kN in the bolt. The temperature is now increased by 100$^\circ$ C. Determine the final stresses in the bolt and the sleeve. For computation purposes, take following values: $E_b = 105 \text{ GNm}^{-2}$; $E_s = 210 \text{ GNm}^{-2}$ $\alpha_b = 20 \times 10^{-6} \text{K}^{-1}$; $\alpha_s = 12 \times 10^{-6} \text{K}^{-1}$

          i.e., at a temperature of (20 + 43.3) = 63.3 $^\circ$C.
Example 11.6
A steel bolt of diameter 12 mm and length 175 mm is used to clamp a brass sleeve
of length 150 mm to a rigid base plate as in Figure 11.7. The sleeve has an internal
diameter of 25 mm and a wall thickness of 3 mm. The thickness of the base plate is
25 mm. Initially, the nut is tightened until there is tensile force of 5 kN in the bolt.
The temperature is now increased by 100$^\circ$ C. Determine the final stresses in the
bolt and the sleeve.
For computation purposes, take following values:
$E_b = 105 \text{ GNm}^{-2}$; $E_s = 210 \text{ GNm}^{-2}$
$\alpha_b = 20 \times 10^{-6} \text{K}^{-1}$; $\alpha_s = 12 \times 10^{-6} \text{K}^{-1}$

i.e., at a temperature of (20 + 43.3) = 63.3 ^∘C.
Example 11.6
A steel bolt of diameter 12 mm and length 175 mm is used to clamp a brass sleeve
of length 150 mm to a rigid base plate as in Figure 11.7. The sleeve has an internal
diameter of 25 mm and a wall thickness of 3 mm. The thickness of the base plate is
25 mm. Initially, the nut is tightened until there is tensile force of 5 kN in the bolt.
The temperature is now increased by 100^∘ C. Determine the final stresses in the
bolt and the sleeve.
For computation purposes, take following values:
Eb = 105 GNm^-2; Es = 210 GNm^-2
= 20 × 10^-6K^-1; = 12 × 10^-6K^-1

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