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The rigid bar CDE is attached to a pin support at E and rests on the 30 mm diameter brass cylinder BD. A 22 mm diameter steel rod AC passes through a hole in the bar and is secured by a nut which is snugly fitted when the temperature of the entire assembly is 20oC. The temperature of the brass cylinder is then raised to 50oC while the steel rod remains at 20oC.
Assuming that no stresses were present before the temperature change,
determine the stress in the cylinder.

Answer :

Answer:

stress = 38.84 MPa

Explanation:

[tex]S_{D} = \alpha _{brass} * (delta T) *(L_{BD} )\\= (18.8 * 10^(-6) )*(30)*(0.3)\\= 0.0001692 m\\\\E_{BD} = stress / strain\\stress = E_{BD} * S_{D}\\stress = (200 *10^9) * (0.0001692)\\stress = 33.84 MPa[/tex]

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