Mechanical Engineering
GATE ME format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–70 of 418. Imported answers require independent review unless marked reviewed.
Question 56
Open questionMENAT2 marksNeeds review
A solid massless cylindrical member of 50 mm diameter is rigidly attached at one end, and is subjected to an axial force
kN and a torque
N.m at the other end as shown. Assume that the axis of the cylinder is normal to the support. Considering distortion energy theory with allowable yield stress as 300 MPa, the factor of safety in the design is ____ (rounded off to 1 decimal place).
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The figure shows a thin cylindrical pressure vessel constructed by welding plates together along a line that makes an angle
with the horizontal. The closed vessel has a wall thickness of 10 mm and diameter
of 2 m. When subjected to an internal pressure of 200 kPa, the magnitude of the normal stress acting on the weld is ________ MPa (rounded off to 1 decimal place).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 58
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A three-hinge arch ABC in the form of a semi-circle is shown in the figure. The arch is in static equilibrium under vertical loads of
kN and
kN. Neglect friction at all the hinges. The magnitude of the horizontal reaction at B is ______ kN (rounded off to 1 decimal place).
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A band brake shown in the figure has a coefficient of friction of 0.3. The band can take a maximum force of 1.5 kN. The maximum braking force (F) that can be safely applied is ______ N (rounded off to the nearest integer).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 60
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A cutting tool provides a tool life of 60 minutes while machining with the cutting speed of 60 m/min. When the same tool is used for machining the same material, it provides a tool life of 10 minutes for a cutting speed of 100 m/min. If the cutting speed is changed to 80 m/min for the same tool and work material combination, the tool life computed using Taylor’s tool life model is ____________ minutes (rounded off to 2 decimal places).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 61
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Aluminium is cast in a cube-shaped mold having dimensions as 20 mm × 20 mm × 20 mm. Another mold of the same mold material is used to cast a sphere of aluminium having a diameter of 20 mm. The pouring temperature for both cases is the same. The ratio of the solidification times of the cube-shaped mold to the spherical mold is ______ (answer in integer).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 62
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A blanking operation is performed on C20 steel sheet to obtain a circular disc having a diameter of 20 mm and a thickness of 2 mm. An allowance of 0.04 is provided. The punch size used for the operation is __________ mm (rounded off to 2 decimal places).
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In an arc welding process, the voltage and current are 30 V and 200 A, respectively. The cross-sectional area of the joint is 20 mm
and the welding speed is 5 mm/s. The heat required to melt the material is 20 J/s. The percentage of heat lost to the surrounding during the welding process is __________ (rounded off to 2 decimal places).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 64
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A flat surface of a C60 steel having dimensions of 100 mm (length) × 200 mm (width) is produced by a HSS slab mill cutter. The 8-toothed cutter has 100 mm diameter and 200 mm width. The feed per tooth is 0.1 mm, cutting velocity is 20 m/min and depth of cut is 2 mm. The machining time required to remove the entire stock is __________ minutes (rounded off to 2 decimal places).
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In a supplier-retailer supply chain, the demand of each retailer, the capacity of each supplier, and the unit cost in rupees of material supply from each supplier to each retailer are tabulated below. The supply chain manager wishes to minimize the total cost of transportation across the supply chain.
| Retailer I | Retailer II | Retailer III | Retailer IV | Capacity |
|---|---|---|---|---|---|
Supplier A | 11 | 16 | 19 | 13 | 300 |
Supplier B | 5 | 10 | 7 | 8 | 300 |
Supplier C | 12 | 14 | 17 | 11 | 300 |
Supplier D | 8 | 15 | 11 | 9 | 300 |
Demand | 300 | 300 | 300 | 300 | |
The optimal cost of satisfying the total demand from all retailers is _____ rupees (answer in integer).
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