File Assignment3_Solutions.pdf

# File Assignment3_Solutions.pdf - lengths are the same. Due...

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ASSIGNMENT NO.3 Assignment problem #1 (35 out of 100) Solution In case cable 1 supports all the load

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Assignment problem #2 (35 out of 100) Solution Because the sleeve and bolt are different materials, they will elongate different amounts when heated if they were allowed to expand freely. However, the bolt head at the end holds them together. Since the system is statically indeterminate we should use the superposition principle. First step is to remove the bolt head and let them elongate and the next step is to find the forces applied by the bolt at the end that keeps two pieces together After the removal of the bolt head the elongations due to heat can be written as Since S α is greater than B the elongation 1 δ is greater than 2 . The axial force in the sleeve and the bolt due to bolt heat must be such that it shortens the sleeve and stretches the bolt until their final

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Unformatted text preview: lengths are the same. Due to the forces applied by the bolt hear the corresponding shortening of the sleeve and the elongation of the bolt are From compatibility we can write 1 3 2 4 = + From which we get S B S B S S B B P L P L TL TL E A E A + = Since the bolt head is in equilibrium under the reaction of the bolt and the sleeve S B P P = We can obtain the forces as ( ) S B S S B B S B S S B B TE A E A P P E A E A = = + The stresses in the sleeve can be obtained as ( ) S B S B B S S S S S B B TE E A P A E A E A = = + (compression) The temperature can be solved as ( ) ( ) S S B B S S B S B B E A E A T E E A + = Assignment problem #3 (30 out of 100) Solution...
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## This note was uploaded on 08/22/2011 for the course ENG 48331 taught by Professor Brown during the Three '11 term at University of Technology, Sydney.

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File Assignment3_Solutions.pdf - lengths are the same. Due...

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