List of top Materials, Manufacturing & Industrial Engineering Questions asked in GATE ME

Two mild steel plates of similar thickness, in butt-joint configuration, are welded by gas tungsten arc welding process using the following welding parameters.
A filler wire of the same mild steel material having 3 mm diameter is used in this welding process. The filler wire feed rate is selected such that the final weld bead is composed of 60% volume of filler and 40% volume of plate material. The heat required to melt the mild steel material is 10 J/mm³. The heat transfer factor is 0.7 and melting factor is 0.6. The feed rate of the filler wire is ________________ mm/s (round off to one decimal place).
Activities A to K are required to complete a project. The time estimates and the immediate predecessors of these activities are given in the table. If the project is to be completed in the minimum possible time, the latest finish time for the activity G is ________________ hours.
In Fe-Fe₃C phase diagram, the eutectoid composition is 0.8 weight % of carbon at 725 °C. The maximum solubility of carbon in $\alpha$-ferrite phase is 0.025 weight % of carbon. A steel sample, having no other alloying element except 0.5 weight % of carbon, is slowly cooled from 1000 °C to room temperature. The fraction of pro-eutectoid $\alpha$-ferrite in the above steel sample at room temperature is:
Electrochemical machining operations are performed with tungsten as the tool, and copper and aluminum as two different workpiece materials. Properties of copper and aluminum are given in the table below.
\begin{tabular}{|c|c|c|c|} \hline Material & Atomic mass (amu) & Valency & Density (g/cm\(^3\))
\hline Copper & 63 & 2 & 9
Aluminum & 27 & 3 & 2.7
\hline \end{tabular} Ignore overpotentials, and assume that current efficiency is 100% for both the workpiece materials. Under identical conditions, if the material removal rate (MRR) of copper is 100 mg/s, the MRR of aluminum will be ________________ mg/s. \text{[round off to two decimal places]}
Which of the following heat treatment processes is/are used for surface hardening of steels?
Which of the following additive manufacturing technique(s) can use a wire as a feedstock material?
The type of fit between a mating shaft of diameter \( 25.0 + 0.010 \) mm and a hole of diameter \( 25.015 - 0.015 \) mm is ________________.
A CNC worktable is driven in a linear direction by a lead screw connected directly to a stepper motor. The pitch of the lead screw is 5 mm. The stepper motor completes one full revolution upon receiving 600 pulses. If the worktable speed is 5 m/minute and there is no missed pulse, then the pulse rate being received by the stepper motor is
In a linear programming problem, if a resource is not fully utilized, the shadow price of that resource is
Which one of the following is NOT a form of inventory?
In a DC arc welding process, open-circuit voltage is 100 V and short-circuit current is 1000 A. Arc voltage varies as $V = 10 + 5l$, where $l$ is arc length in mm. The maximum available arc power during the process is ____________ kVA (in integer).
The best size wire is fitted in a groove of a metric screw such that the wire touches the flanks of the thread on the pitch line. The pitch $p = 4$ mm and the included angle of the thread is $60^\circ$. The diameter of the best size wire is ____________ mm (round off to 2 decimal places).
A straight–teeth horizontal slab milling cutter has 4 teeth and diameter $D = 200$ mm. Rotational speed = 100 rpm, Feed = 1000 mm/min, Workpiece width $w = 100$ mm. Cutting force/tooth = $F = K\, t_c\, w$, $K = 10$ N/mm$^2$. Depth of cut is $d = D/2$, and the maximum cutting force is __________ kN (round off to one decimal place).
In an orthogonal machining operation, the cutting and thrust forces are equal. Uncut chip thickness = 0.5 mm, shear angle = \(15^\circ\), rake angle = \(0^\circ\), width of cut = 2 mm. The work material is perfectly plastic with yield shear strength \(500\ \text{MPa}\). Find the cutting force (nearest integer).
A shaft carries a thin pulley of radius \( r = 0.4\ \text{m} \) at end C. Taut and slack belt tensions are \( T_1 = 300\ \text{N} \) and \( T_2 = 100\ \text{N} \). Allowable shear stress in the shaft is 80 MPa. The shaft length segments are \( AB = BC = L = 0.5\ \text{m} \). Neglecting shock and fatigue and using maximum shear stress theory, find the minimum shaft diameter (in mm).
Parts P1--P7 are machined first on a milling machine and then polished at a separate machine. Using the information in the following table, the minimum total completion time required for carrying out both the operations for all 7 parts is ____________________ hours.
A manufacturing unit produces two products P1 and P2. For each piece of P1 and P2, the table below provides quantities of materials M1, M2, and M3 required, and also the profit earned. The maximum quantity available per day for M1, M2 and M3 is also provided. The maximum possible profit per day is ₹ ________________.
Consider sand casting of a cube of edge length $a$. A cylindrical riser is placed at the top of the casting. Assume solidification time, $t_s \propto V/A$, where $V$ is the volume and $A$ is the total surface area dissipating heat. If the top of the riser is insulated, which of the following radius/radii of riser is/are acceptable?
Which of these processes involve(s) melting in metallic workpieces?
Which one of the following CANNOT impart linear motion in a CNC machine?
Match the additive manufacturing technique in Column I with its corresponding input material in Column II.
A shaft of diameter \(25^{-0.04}_{-0.07}\) mm is assembled in a hole of diameter \(25^{+0.02}_{+0.00}\) mm. Match the allowance and limit parameter in Column I with its corresponding quantitative value in Column II for this shaft–hole assembly.
Which one of the following is the definition of ultimate tensile strength (UTS) obtained from a stress-strain test on a metal specimen?
Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical binary alloy of components A and B is shown in the figure with its eutectic composition and temperature. All the lines in this phase diagram, including the solidus and liquidus lines, are straight lines. If this binary alloy with 15 weight % of B is poured into a mould at a pouring temperature of 800\,$^\circ$C, then the solidification range is ________________.

A 76.2 mm gauge block is used under one end of a 254 mm sine bar with roll diameter of 25.4 mm. The height of gauge blocks required at the other end of the sine bar to measure an angle of 30° is \(\underline{\hspace{2cm}}\) mm (round off to two decimal places).