Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2013 Set-1 Questions with Answer
Ques 53 GATE 2013 SET-1
A bar is subjected to fluctuating tensile load from 20 kN to 100 kN. The material has yield strength of 240 MPa and endurance limit in reversed bending is 160 MPa. According to the Soderberg principle, the area of cross-section in mm2 of the bar for a factor of safety of 2 is
Ques 54 GATE 2013 SET-1
A simply supported beam of length L is subjected to a varying distributed load sin(3πx/L) Nm-1, where the distance x is measured from the left support. The magnitude of the vertical reaction force in N at the left support is
Ques 55 GATE 2013 SET-1
Two large diffuse gray parallel plates, separated by a small distance, have surface temperatures of 400 K and 300 K. If the emissivities of the surfaces are 0.8 and the Stefan-Boltzmann constant is 5.67×10-8 W/m2K4, the net radiation heat exchange rate in kW/m2 between the two plates is
Ques 56 GATE 2013 SET-1
A hinged gate of length 5 m, inclined at 30° with the horizontal and with water mass on its left, is shown in the figure. Density of water is 1000 kg/m3. The minimum mass of the gate in kg per unit width (perpendicular to the plane of paper), required to keep it closed is
Ques 57 GATE 2013 SET-1
The pressure, temperature and velocity of air flowing in a pipe are 5 bar, 500 K and 50 m/s, respectively. The specific heats of air at constant pressure and at constant volume are 1.005 kJ/kgK and 0.718 kJ/kgK, respectively. Neglect potential energy. If the pressure and temperature of the surroundings are 1 bar and 300 K, respectively, the available energy in kJ/kg of the air stream is
Ques 58 GATE 2013 SET-1
A single riveted lap joint of two similar plates has the following geometrical and material details:
If the rivets are to be designed to avoid crushing failure, the maximum permissible load P in kN is
Ques 59 GATE 2013 SET-1
A single riveted lap joint of two similar plates has the following geometrical and material details:
If the plates are to be designed to avoid tearing failure, the maximum permissible load P in kN is
Ques 60 GATE 2013 SET-1
Water (specific heat, cp = 4.18 kJ/kgK) enters a pipe at a rate of 0.01 kg/s and a temperature of 20°C. The pipe, of diameter 50 mm and length 3 m, is subjected to a wall heat flux q"w in W/m2.
If q"w = 2500x, where x is in m and in the direction of flow (x=0 at the inlet), the bulk mean temperature of the water leaving the pipe in °C is
Ques 61 GATE 2013 SET-1
Water (specific heat, cp = 4.18 kJ/kgK) enters a pipe at a rate of 0.01 kg/s and a temperature of 20°C. The pipe, of diameter 50 mm and length 3 m, is subjected to a wall heat flux q"w in W/m2.
If q"w = 5000 and the convection heat transfer coefficient at the pipe outlet is 1000 W/m2K, the temperature in °C at the inner surface of the pipe at the outlet is
Ques 62 GATE 2013 SET-1
In orthogonal turning of a bar of 100 mm diameter with a feed of 0.25 mm/rev, depth of cut of 4 mm and cutting velocity of 90 m/min, it is observed that the main (tangential) cutting force is perpendicular to the friction force acting at the chip-tool interface. The main (tangential) cutting force is 1500 N.
The orthogonal rake angle of the cutting tool in degree is
Ques 63 GATE 2013 SET-1
In orthogonal turning of a bar of 100 mm diameter with a feed of 0.25 mm/rev, depth of cut of 4 mm and cutting velocity of 90 m/min, it is observed that the main (tangential) cutting force is perpendicular to the friction force acting at the chip-tool interface. The main (tangential) cutting force is 1500 N.
The normal force acting at the chip-tool interface in N is
Ques 64 GATE 2013 SET-1
In a simple Brayton cycle, the pressure ratio is 8 and temperatures at the entrance of compressor and turbine are 300 K and 1400 K, respectively. Both compressor and gas turbine have isentropic efficiencies equal to 0.8. For the gas, assume a constant value of cp (specific heat at constant pressure) equal to 1 kJ/kgK and ratio of specific heats as 1.4. Neglect changes in kinetic and potential energies.
The power required by the compressor in kW/kg of gas flow rate is
Ques 65 GATE 2013 SET-1
In a simple Brayton cycle, the pressure ratio is 8 and temperatures at the entrance of compressor and turbine are 300 K and 1400 K, respectively. Both compressor and gas turbine have isentropic efficiencies equal to 0.8. For the gas, assume a constant value of cp (specific heat at constant pressure) equal to 1 kJ/kgK and ratio of specific heats as 1.4. Neglect changes in kinetic and potential energies.
The thermal efficiency of the cycle in percentage (%) is
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