GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

Question : 43 of 65

Marks: +1, -0

A bimetallic cylindrical bar of cross sectional area

1 {m}^{2}

is made by bonding Steel (Young's modulus

=210 {GPa}

) and Aluminium (Young's modulus

=70 {GPa}

) as shown in the figure. To maintain tensile axial strain of magnitude

10^{-6}

in Steel bar and compressive axial strain of magnitude

10^{-6}

in Aluminum bar, the magnitude of the required force P (in kN.) along the indicated direction is

Solution:

E_{\;\text "Steel "\;}=10^{-6}=\;{\P_{\;\text "steel "\;}}/{\AE_{\;\text "steel "\;}}

P_{\;\text "steel "\;}=210 {kN}

Similarly,

P_{\;\text "aluminium "\;}=70 {kN}

{P}=70+210=280 {kN} .

Go to Question:

Prev Question

Next Question