Aerospace Engineering
2021 · Paper 1
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Complete GATE AE 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.
Question 48
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The air flow rate through the gas generator of a turboprop engine is 100 kg/s. The stagnation temperatures at inlet and exit of the combustor are 600 K and 1200 K, respectively. The burner efficiency is 90% and the heating value of the fuel is 40 MJ/kg. The specific heats at constant pressure (Cₚ) for air and burned gases are 1000 J/kg-K and 1200 J/kg-K, respectively. The flow rate of the fuel being used is ______________ kg/s (round off to two decimal places).
(Note: Do not neglect the fuel flow rate with respect to the air flow rate)
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A rigid horizontal bar ABC, with roller support at A, is pinned to the columns BD and CE at points B and C, respectively as shown in figure. The other end of the column BD is fixed at D, whereas the column CE is pinned at E. A vertical load P is applied on the bar at a distance ‘a’ from point B.
The two columns are made of steel with elastic modulus 200 GPa and have a cross section of 1.5 cm x 1.5 cm. The value of ‘a’ for which both columns buckle simultaneously, is __________ cm (round off to one decimal place).
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A two-cell wing box is shown in the figure. The cell walls are 1.5 mm thick and the shear modulus
GPa. If the structure is subjected to a torque of 12 kNm, then the wall AD will experience a shear stress of magnitude __________ MPa (round off to one decimal place). 
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