Forming
GATE Mechanical Engineering · 56 questions across 25 years (1987-2025) · 63% recurrence rate
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1987–2025Difficulty mix
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All 56 questions on Forming
Among the following surface hardening processes, steel is heated to the lowest temperature in
Wire drawing operation is performed on a perfectly plastic metal without any strain hardening. Assuming no friction and no redundant work, the maximum possible percentage reduction in area in a single pass is closest to
A plate of 30 mm thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of 500 mm . The plate thickness is to be reduced to 27 mm in a single pass. Assume no change in width. The process...
The "Earing" phenomenon in metal forming is associated with
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 (ro...
A 4 mm thick aluminum sheet of width w = 100 mm is rolled in a two-roll mill of roll diameter 200 mm each. The workpiece is lubricated with a mineral oil, which gives a coefficient of friction, μ = 0.1. The flow stress (...
Which of the following heat treatment processes is/are used for surface hardening of steels?
A strip of $$120mm$$ width and $$8mm$$ thickness is rolled between two $$300$$ $$mm$$-diameter rolls to get a strip of $$120mm$$ width and $$7.2mm$$ thickness. The speed of the strip at the exit is $$30m/min.$$ There is...
A $$10$$ $$mm$$ deep cylindrical cup with diameter of $$15$$ $$mm$$ is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto $$2$$ decimal points accuracy) of the blank is _____...
It is desired to make a product having T-shaped cross - section from a rectangular aluminium block. Which one of the following processes is expected to provide the highest strength of the product?
A $$300$$ $$mm$$ thick slab is being cold rolled using roll of $$600$$ $$mm$$ diameter. If the coefficient of friction is $$0.08,$$ the maximum possible reduction (in $$mm$$) is _______________
A $$300$$ $$mm$$ thick slab is being cold rolled ussing roll of $$600$$ $$mm$$ diameter. If the coefficient of friction is $$0.08,$$ the maximum possible reduction (in $$mm$$) is _______
In a sheet metal of $$2$$ $$mm$$ thickness a hole of $$10$$ $$mm$$ diameter needs to be punched. The yield strength in tension of the sheet material is $$100$$ $$MPa$$ and its ultimate shear strength is $$80$$ $$MPa.$$ T...
The flowing stress (in $$MPa$$) of a material is given by $$\sigma = 500{\varepsilon ^{0.1}},$$ When $$\varepsilon $$ is true strain. The Young's modulus of elasticity of the material is $$200$$ $$GPa.$$ A block of thick...
In a rolling operation using rolls of diameter $$500mm,$$ if a thick plate cannot be reduced to less than $$20mm$$ in one pass, the coefficient of friction between the roll and the plate is ____________.
In a slab rolling operation, the maximum thickness reduction $$\left( {\Delta {h_{\max }}} \right)$$ is given by $$\Delta {h_{\max }} = {\mu ^2}R,$$ where $$R$$ is the radius of the roll and $$\mu $$ is the coefficient o...
In a two stage wire drawing operation, the fractional reduction (ratio of change in cross sectional area to initial cross sectional area ) in the first stage is $$0.4.$$ The fractional reduction in the second stage is $$...
A rectangular hole of size $$100\,\,mm \times 50\,\,mm$$ is to be made on a $$5$$ $$mm$$ thick sheet of steel having ultimate tensile strength and shear strength of $$500$$ $$MPa$$ and $$300$$ $$MPa,$$ respectively. The...
A metal rod of initial length $${L_0}$$ is subjected to a drawing process. The length of the rod at any instant is given by the expression, $$L\left( t \right) = {L_0}\left( {1 + {t^2}} \right),$$ where $$t$$ is the time...
In a rolling process, the maximum possible draft, defined as the difference between the initial and the final thickness of the metal sheet, mainly depends on which pair of the following parameters? $$P:$$ Strain $$Q:$$ S...
A mild steel plate has to be rolled in one pass such that the final plate thickness is $$2/{3^{rd}}$$ of the initial thickness, with the entrance speed of $$10m/min$$ and roll diameter of $$500mm.$$ If the plate widens b...
In a single pass rolling process using $$410mm$$ diameter steel rollers, a strip of width $$140mm$$ and thickness $$8mm$$ undergoes $$10\% $$ reduction of thickness. The angle of bite in radians is
Calculate the punch size in $$mm,$$ for a circular blanking operation for which details are given below. Size of the blank $$25$$ $$mm$$ Thickness of the sheet $$2$$ $$mm$$ Radial clearance between punch and die $$0.06$$...
A solid cylinder of diameter $$100$$ $$mm$$ and height $$50$$ $$mm$$ is forged between two frictionless flat dies to a height of $$25$$ $$mm.$$ The percentage change in diameter is
The shear strength of a sheet metal is $$300MPa.$$ The blanking force required to produce a blank of $$100$$ $$mm$$ diameter from a $$1.54$$ $$mm$$ thick sheet is close to
The maximum possible draft in cold rolling of sheet increases with the
In a single pass rolling operation, a $$20mm$$ thick plate with plate width of $$100mm$$, is reduced to $$18mm$$ thick. The roller radius is $$250mm$$ and rotational speed is $$10$$ $$rpm.$$ The average flow stress for t...
In the deep drawing of cups, blanks show a tendency to wrinkle up around the periphery (flange). The most likely cause and remedy of the phenomenon are respectively,
In open die forging, a disc of diameter $$200mm$$ height $$60mm$$ is compressed without any barreling effect. The final diameter of the disc is $$400mm.$$ The true strain is
The thickness of metallic sheet is reduced from an initial value of $$16mm$$ to a final value of $$10mm$$ in one single pass rolling with a pair of cylindrical rollers each of diameter of $$400mm.$$ The bite angle in deg...
The force requirement in a blanking operation of low carbon steel sheet is $$5.0$$ $$kN.$$ The thickness of the sheet is $$'t'$$ and diameter of the blanked part is $$'d'.$$ For the same work material, if the diameter of...
In a wire drawing operation, diameter of a steel wire is reduced from $$10$$ $$mm$$ to $$8$$ $$mm.$$ the mean flow stress of the material is $$400$$ $$MPa.$$ The ideal force required for drawing ignoring friction and red...
$$10$$ $$mm$$ diameter holes are to be punched in a steel sheet of $$3$$ $$mm$$ thickness. Shear strength of the material is $$400\,\,N/m{m^2}$$ and penetration is $$40\% $$. Shear provided on the punch is $$2$$ $$mm.$$...
In a rolling process, sheet of $$25$$ $$mm$$ thickness is rolled to $$20$$ $$mm$$ thickness. Roll is of diameter $$600$$ $$mm$$ and it rotates at $$100$$ $$rpm.$$ The roll strip contact length will be
A brass billet is to be excluded from its initial diameter of $$100mm$$ to a final diameter of $$50mm$$. The working temperature is $${700^ \circ }C$$ and the extrusion constant is $$250$$ $$MPa.$$ The force required for...
A metal disc of $$20$$ $$mm$$ diameter is to be punched from a sheet of $$2$$ $$mm$$ thickness. The punch and the die clearance is $$3\% $$. The required punch diameter is
A shell of $$100$$ $$mm$$ diameter and $$100$$ $$mm$$ height with the corner radius of $$0.4$$ $$mm$$ is to be produced by cup drawing. The required blank diameter is
Cold working of steel is defined as working
In blanking operation the clearance is provided on
Hot rolling of mild steel is carried out
The cutting force in punching and blanking operations mainly depends on
A cylindrical billet of $$100$$ $$mm$$ diameter is forged from $$50$$ $$mm$$ height to $$40$$ $$mm$$ at $${1000^0}$$$$C$$. The material has constant flow stress of $$80$$ $$MPa.$$ Find the work of deformation. If a $$10$...
Identify the stress strain in the flange portion of a partially drawn cylindrical cup when deep drawing without a blank holder
A strip with sectional area $$150mm\,\, \times \,\,4.5mm$$ is being rolled with $$20\% $$ reduction of area using $$450mm$$ diameter rollers. The angle subtended by the deformation zone at the roll center is (in radians)
A metal strip is to be rolled from an initial wrought thickness of $$3.5$$ $$mm$$ to a final rolled thickness of $$2.5$$ $$mm$$ in a single pass rolling mill having rolls of $$250$$ $$mm$$ diameter. The strip is $$450$$...
A wire of $$0.1mm$$ diameter is drawn from a rod of $$15mm$$ diameter dies giving reductions of $$20\% $$, $$40\% $$ and $$80\% $$ are available. For minimum error in the final size, the number of stages and reduction at...
A $$50$$ $$mm$$ diameter disc is to be punched out from a carbon steel sheet $$1.0$$ $$mm$$ thick. The diameter of the punch should be (Take clearance as $$3\% $$ of sheet thickness)
In deep drawing of sheets, the values of limiting draw ratio depends on
The process of hot extrusion is used to produce
Calculate the bite angle when rolling plates $$12mm$$ thick using work rolls $$600mm$$ diameter and reducing the thickness by $$3mm$$
The thickness of the blank needed to produce, by power spinning a missile cone of thickness $$1.5mm$$ and half cone angle $$30deg$$
A strip of thickness $$T$$ $$mm$$ is rolled in a $$2$$ high single pass rolling mill, having roll diameter $$D$$ $$mm,$$ to a final thickness of $$\left( {T - 2\Delta T} \right)mm.$$ If the friction coefficient between t...
Wrinkling is a common defect found in
In forging operation the sticking friction condition occurs near the ...... (Center/ ends) while sliding friction condition occurs near the ...... (Center / ends)
For blanking and piercing operations, clearance is provided on the ................... and the ......................... respectively
For wire drawing operation, the work material should essentially be