UPSC Mechanical Engineering PYQs 2021 | Vaidra

1Medium20 marks

In a case of open die forging, derive the expression for determining forging force per unit length for forging a flat strip between two parallel dies. Also, state the assumptions made while deriving the above mentioned expression.

2Medium20 marks

Write the equations for shearing force and bending moment for various sections and draw SFD and BMD for the beam supported at A and B as shown in the figure.

3Medium10 marks

Consider a large plane wall of thickness L = 0·4 m, thermal conductivity k = 2·3 W/m°C and surface area A = 20 m^2. The left side of the wall is maintained at a constant temperature of T_1 = 80°C while the right side loses heat by convection to the surrounding air at T_a = 15°C with a heat transfer coefficient of h = 24 W/m^2 °C. Assuming constant thermal conductivity and no heat generation in the wall,

(i) obtain a relation for the variation of temperature in the wall.

(ii) evaluate the rate of heat transfer through the wall.

Mechanical Engineering UPSC PYQ 2021

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