GATE PI 2003
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GATE PI

1
A casting of size $$100\,\,mm \times 100\,\,mm \times 50\,\,mm$$ is required. Assume volume shrinkage of casting $$2.6\% $$. If the height of the riser is $$80$$ $$mm$$ and riser volume desired is $$4$$ times the shrinkage in casting, what is the appropriate riser diameter in $$mm?$$
2
Gating ratio of $$1:2:4$$ is used to design the gating system for magnesium alloy casting. This gating ratio refers to the cross section areas of the various gating elements as given below

$$1.$$ $$Down$$ $$sprue$$ $$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$2.$$ $$runner$$ $$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$3.$$ $$Ingates$$
The sequence of the above elements in the ratio $$1:2:4$$ is

3
Chapters are placed between mould and core surfaces in order to :
4
Which one of the following is NOT a property of a sand mold?
5
In resistance welding, heat is generated due to the resistance between
6
High speed electron beam welding is focused on the weld spot using
7
A $$900$$ $$mm$$ long steel plate is welded by manual metal arc welding process using welding current of $$150$$ $$A,$$ arc voltage of $$20$$ $$V$$ and welding speed of $$300$$ $$mm/min.$$ If the process efficiency of is $$0.8$$ and surface resistance is $$36$$ micro-ohm, the heat input will be
8
The cold cracking susceptibility of the heat affected zone in an arc weld is influenced by
$$P.$$ Entraped hydrogen,
$$Q.$$ Residual stresses
$$R.$$ Marternsitic transformation
$$S.$$ Slag inclusion
9
Which of the following process can be used for welding of Aluminium alloys
$$P.$$ Submerged arc welding
$$Q.$$ Gas metal arc welding
$$R.$$ Electroslag welding
$$S.$$ Gas tungsten arc welding
10
Match List - I (welding defects) with List - II (causes) and select the correct answer using the codes given below the lists GATE PI 2003 Joining of Materials - Welding Question 30 English
11
GATE PI 2003 Joining of Materials - Welding Question 31 English
12
A weld is made using $$MIG$$ welding process with the following welding parameters: Current: $$200A;$$ Voltage: $$25V;$$ Welding speed: $$18$$ $$cm/min;$$ wire diameter: $$1.2$$ $$mm;$$ Wire feed rate: $$4$$ $$m/min;$$ Thermal efficiency of the process: $$65\% $$

The heat input per unit length of the weld in $$kJ/cm$$ is:

13
A weld is made using $$MIG$$ welding process with the following welding parameters: Current: $$200A;$$ Voltage: $$25V;$$ Welding speed: $$18$$ $$cm/min;$$ wire diameter: $$1.2$$ $$mm;$$ Wire feed rate: $$4$$ $$m/min;$$ Thermal efficiency of the process: $$65\% $$

The area of cross section of weld bead in $$m{m^2}$$ is:

14
Match list - $${\rm I}$$ (machine tool) with list - $${\rm I}$$$${\rm I}$$ (machine tool part) GATE PI 2003 Machine Tools and Machining - Machining Question 26 English
15
Orthogonal machining of a steel work-piece is done with a $$HSS$$ tool of zero rake angle. The ratio of the cutting force and the thrust force on the tool is $$1:0.372.$$ The length of cut chip is $$4.71$$ $$mm$$ while the uncut chip length is $$10$$ $$mm.$$ What are the shear plane angle $$\phi $$ and friction angle $$\beta $$ in deg.? Use Merchant's theory.
16
A single point cutting tool with a nose radius of $$0.4$$ $$mm$$ was used to turn a component in a lathe employing a feed rate of $$0.3$$ $$mm/rev.$$ If the feed-rate is doubled, the ideal surface roughness (peak-to-valley height) produced on the component will increase by a factor of
17
A cylinder of $$25mm$$ diameter and $$100mm$$ length is turned with a tool, for which the relation $$V{T^{0.25}} = 55$$ is applicable. The cutting velocity is $$22m/min.$$ For a tool feed of $$0.046$$ $$mm/rev,$$ the number of tool regrinds required to produce $$425$$ cylinders is
18
The following data refers to an orthogonal machining of mild steel with a single point $$HSS$$ tool. Rake angle of tool $$ = {10^ \circ },$$ uncut chip thickness $$=0.3mm,$$ width of cut $$=2.0mm,$$ single plane shear angle $$ = {36^ \circ },$$ shear strength of mild steel $$=450$$ $$MPa,$$ using Merchants analysis

The coefficient of friction between the chip and tool will be

19
The following data refers to an orthogonal machining of mild steel with a single point $$HSS$$ tool. Rake angle of tool $$ = {10^ \circ },$$ uncut chip thickness $$=0.3mm,$$ width of cut $$=2.0mm,$$ single plane shear angle $$ = {36^ \circ },$$ shear strength of mild steel $$=450$$ $$MPa,$$ using Merchants analysis

The shear force in cutting will be

20
Which one of the following is not a synthetic abrasive material
21
The flanks of teeth of rack-type gear cutter used for cutting involute gear profiles are:
22
The purpose of helical grooves in a twist drill is to
$$1.$$ Improve the stiffness
$$2.$$ Save a tool material
$$3.$$ Provide space for chip removal
$$4.$$ Provide rake angle for the cutting edge

Select the correct answer suing the codes given below

23
Tool life equation for two tools under consideration are as follows

$$\eqalign{ & HSS:\,\,\,\,\,\,\,\,\,\,\,\,\,V{T^{0.2}} = 150 \cr & Carbide:\,\,\,\,\,\,V{T^{0.3}} = 250 \cr} $$
Where $$V$$ is the cutting speed in $$m/min$$ and $$T$$ is the tool life in $$min.$$ The breakdown cutting speed above which the carbide tool will be beneficial is

24
Match the mechanism with Machine GATE PI 2003 Machine Tools and Machining - Machining Question 24 English
25
The drawing shows a machined shaft. The purpose of providing rounded grooves at $$M$$ and $$N$$ is to GATE PI 2003 Machine Tools and Machining - Machining Question 21 English
26
When $$3-2-1$$ principle is used to support and locate a three dimensional work-piece during machining, the number of degrees of freedom that are restricted is
27
Which one is not a method of reducing cutting forces to prevent the overloading of press
28
GATE PI 2003 Metal Forming - Sheet Metal Forming Processes Question 29 English
29
Consider the following statements related piercing and blanking
$$1.$$ Shear on the punch reduces the maximum cutting force
$$2.$$ Shear increases the capacity of the press needed
$$3.$$ Shear increases the life of the punch
$$4.$$ Total energy needed to make the cut remains unaltered due to provision of shear

Which of the above statements are correct

30
A hydraulic press is used to produce circular blanks of $$10$$ $$mm$$ diameter from a sheet of $$2$$ $$mm$$ thickness. If the shear strength of the sheet material is $$400$$ $$N/m{m^2},$$ the force required for producing a circular blank is
31
Consider the following steps in forging a connecting rod from the bar stock

$$1.$$ blocking $$\,\,\,\,\,\,\,\,\,$$ $$\,\,\,\,\,\,\,\,\,$$ $$\,\,\,\,\,\,\,\,\,$$$$2.$$ trimming
$$3.$$ finishing$$\,\,\,\,\,\,\,\,\,$$ $$\,\,\,\,\,\,\,\,\,$$ $$\,\,\,\,\,\,\,\,\,$$ $$4.$$ edging

Select the correct sequence of these operations using the codes given below

32
Cold working produces the following effects

$$1.$$$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ Stress are set up in the material
$$2.$$$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ Grain structure get distorted
$$3.$$$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ Strength and hardness of the metal are decreased
$$4.$$$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ Surface finish is reduced

33
In a single pass flat rolling operation, a $$400mm$$ wide steel strip having a thickness of $$10mm$$ is reduced to $$8mm$$ by using a roll of $$600mm$$ diameter.

The roll-strip contact length is

34
In a single pass flat rolling operation, a $$400$$ $$mm$$ wide steel strip having a thickness of $$10mm$$ is reduced to $$8$$ $$mm$$ by using a roll of $$600mm$$ diameter.

Considering the situation for a maximum draft of the process, what is the coefficient of friction?

35
GATE PI 2003 Metrology - Metrology and Inspection Question 37 English
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