GATE Production & Industrial

A metallic strip having a thickness of $$12$$ $$mm$$ is to be rolled using two steel rolls, each of $$800$$ $$mm$$ diameter. It is assumed that there is no change in width of the s...

A steel wire of $$2$$ $$mm$$ diameter is to be drawn from a wire of $$5mm$$ diameter. The value of true strain developed is _____________ (up to three decimal places)

The ratio of press force required to punch a square hole of $$30$$ $$mm$$ side in a $$1$$ $$mm$$ thick aluminium sheet to that needed to punch a square hole of $$60$$ $$mm$$ side i...

In a single-pass rolling operation, a $$200$$ $$mm$$ wide metalic strip is rolled from a thickness $$10$$ $$mm$$ to a thickness $$6$$ $$mm.$$ The roll radius is $$100$$ $$mm$$ and...

Two solid cylinders of equal diameter have different heights. They are compressed plastically by a pair of rigid dies to create the same percentage reduction in their respective he...

In rolling of a flat strip, the relative velocity of strip with respect to the roller is

The true stress at fracture of a tensile tested specimen, having an initial diameter of specimen at fracture is $$10$$ $$mm,$$ then the engineering stress, in $$MPa,$$ at fracture...

The maximum reduction per pass during wire drawing of an aluminium alloy ignoring friction and redundant work is $$77\% $$. The strain hardening exponent of the material is _______...

Open die forging of a cylinder made of a rigid perfectly plastic material with yield strength of $$200$$ $$MPa$$ having a height of $$25$$ $$mm$$ and diameter of $$25$$ $$mm$$ is b...

In an open die forging, a circular disc is gradually compressed between two flat plates. The exponential decay of normal stress on the flat face of the disc, from the center of the...

A $$80$$ $$mm$$ thick steel plate with $$400$$ $$mm$$ width is rolled to $$40mm$$ thickness in $$4$$ passes with equal reduction in each pass, by using rolls of $$800mm$$ diameter....

A moving mandrel is used in

In a rolling process, the state of stress of the material undergoing deformation is

Circular blanks of $$10mm$$ diameter are punched from an aluminium sheet of $$2$$ $$mm$$ thickness. The shear strength of aluminium is $$80$$ $$MPa.$$ The minimum punching force re...

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...

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

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 b...

The thickness of a plate is reduced from $$30$$ $$mm$$ to $$10$$ $$mm$$ by successive cold rolling passes using identical rolls of diameter $$600$$ $$mm.$$ Assume that there is no...

In multi-pass operation, a round bar of $$10$$ $$mm$$ diameter and $$100$$ $$mm$$ length is reduced in cross-section by drawing it successively through a series of seven dies of de...

In multi-pass operation, a round bar of $$10$$ $$mm$$ diameter and $$100$$ $$mm$$ length is reduced in cross-section by drawing it successively through a series of seven dies of de...

Hot die steel, used for large solid dies in drop forging, should necessarily have

In a rolling process, the roll separating force can be decreased by

During open die forging process using two flat and parallel dies, a solid steel disc of initial radius $$({R_{IN}})\,\,200mm$$ and Initial height $$({H_{IN}})\,\,50mm$$ attains a h...

Cold shut (lap) may occur in products obtained by:

Anisotropy in rolled components is caused by

A disc of $$200$$ $$mm$$ diameter is blanked from a strip of an aluminium alloy of thickness $$3.2$$ $$mm.$$ The material shear strength to fracture is $$150$$ $$MPa.$$ The blankin...

Using direct extrusion process, a round billet of $$100$$ $$mm$$ length and $$50mm$$ diameter is extruded. Considering an ideal deformation process (no friction and no redundant wo...

In a rolling process, thickness of a strip is reduced from $$4mm$$ to $$3mm$$ using $$300mm$$ diameter rolls rotating at $$100rpm.$$ The velocity of the strip (in $$m/sec$$) at the...

A $$10mm$$ diameter annealed steel wire is drawn through a die at a speed of $$0.5/sec$$ to reduce the diameter by $$20\% $$. The yield stress of the material is $$800MPa.$$ Neglec...

A blank of $$50$$ $$mm$$ diameter is to be sheared from a sheet of $$2.5$$ $$mm$$ thickness. The required radial clearance between the die and the punch is $$6\% $$ of sheet thickn...

By application of tensile force, the cross sectional area of bar $$' P '$$ is first reduced by $$30\% $$ and then by an additional $$20\% $$. Another bar $$'Q'$$ of the same materi...

A $$10mm$$ diameter annealed steel wire is drawn through a die at a speed of $$0.5/sec$$ to reduce the diameter by $$20\% $$. The yield stress of the material is $$800MPa.$$ The po...

The maximum possible percentage reduction in area per pass during wire drawing of an ideal plastic material without friction is of the order of

Circular blanks of $$35$$ $$mm$$ diameter are punched from a steel sheet of $$2$$ $$mm$$ thickness. If the clearance per side between the punch and die is to be kept as $$40$$ micr...

A cup is to be drawn to a diameter of $$70mm$$ with $$35mm$$ depth from a $$0.5mm$$ thick sheet metal. The cup is drawn in one operation. Assume $${\sigma _u} = 430\,\,MPa.$$ The m...

A gear with $$84$$ teeth is to be machined using a milling process with indexing. The index plate has the following four hole circles: $$36,38, 42., 48.$$ The change gear ratio req...

It is required to punch a hole of diameter $$10mm$$ on a sheet of thickness $$3mm.$$ The shear strength of the work material is $$420Mpa.$$ The required punch force is

A solid cylindrical stainless steel work piece of $$200mm$$ diameter and $$150mm$$ height. This component is reduced by $$50\% $$ in height with flat die in open die forging. Assum...

A work piece of $$1000$$ $$mm$$ length and $$300$$ $$mm$$ width is machined by planning operation with a feed of $$0.3$$ $$mm/stroke.$$ The machine tool executes $$10$$ double stro...

It is required to punch a hole of diameter $$10mm$$ on a sheet of thickness $$3mm.$$ The shear strength of the work material is $$420MPa.$$ The required punch force is

A cup is to be drawn to a diameter of $$70mm$$ with $$35mm$$ depth from a $$0.5mm$$ thick sheet metal. The cup is drawn in one operation. Assume $${\sigma _u} = 430\,\,MPa.$$ The r...

In a surface broaching process, a broach having $$5mm$$ pitch and cut per teeth $$0.05mm$$ is used for reducing the thickness by $$6mm.$$ If the length of the work piece is $$50mm$...

A copper strip of $$200$$ $$mm$$ width and $$30$$ $$mm$$ thickness is to be rolled to a thickness of $$25$$ $$mm.$$ The roll of radius $$300$$ $$mm$$ rotates at $$100$$ $$rpm.$$ Th...

A level having $${90^0}$$ bend is to be produced by drop forging using mild steel bar as raw material. The various operations to be performed on it during forging are: $$P$$ - Cutt...

A $$\phi \,\,25$$ $$mm$$ hole is pierced in a $$t=2.5mm$$ thick steel sheet having shear strength $$\tau = 350\,\,MPa.$$ If the diametral clearance is given by the expression $$C=0...

Consider the following statements: In comparison to hot working, in cold working, $$1.$$ Higher forces are required $$2.$$ No heating is required $$3.$$ Less ductility is required...

Cold shut (lap) may occur in products obtained by:

A round billet made of brass is to be extruded (extrusion constant $$=250$$ $$MPa$$ ) at $${700^ \circ }C.$$ The billet diameter is $$100$$ $$mm$$ and the diameter of the extrusion...

The true stress-true strain curve is given by $$\sigma = 1400\,{\varepsilon ^{0.33}},$$ where the stress $$\sigma $$ is in $$MPa.$$ The true stress at maximum load (in $$MPa$$) is

Flash and gutter are provided in drop forging dies at the following stage:

Assertion (A) : Cold working of metals result in increase of strength and hardness. Reason (R) : Cold working reduces the total number of dislocations per unit volume of the materi...

In deep drawing of sheet metal, spring loaded stripper clamps the work until:

A hole of $$40$$ $$mm$$ diameter is pierced in a steel sheet of $$4$$ $$mm$$ thickness without shear on the tool. Shear strength of steel is $$400$$ $$N/m{m^2},$$ and penetration i...

The extrusion process(es) used for the production of toothpaste tubes is / are $$1.$$ Tube extrusion $$2.$$ Forward extrusion $$3.$$ Impact extrusion

Determine the load required to punch a $$20$$ $$mm$$ diameter hole in $$2$$ $$mm$$ thick sheet. The properties of the material of the sheet are: Tensile strength $$-580$$ $$MPa;$$...

A cylindrical cup of $$48.5$$ $$mm$$ diameter and $$52$$ $$mm$$ height has a corner radius of $$1.5$$ $$mm$$ Cold rolled steel sheet of thickness $$1.5$$ $$mm$$ is used to produce...

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. Consider...

Cold working produces the following effects $$1.$$$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ Stress are set up in the material $$2.$$$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ Grain structure get dist...

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{...

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 con...

Which one is not a method of reducing cutting forces to prevent the overloading of press

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...

Consider the following steps in forging a connecting rod from the bar stock $$1.$$ blocking $$\,\,\,\,\,\,\,\,\,$$ $$\,\,\,\,\,\,\,\,\,$$ $$\,\,\,\,\,\,\,\,\,$$$$2.$$ trimming $$3....

A cup of $$10$$ $$cm$$ height and $$5$$ $$cm$$ diameter is to be made from a sheet metal of $$2mm$$ thickness. The number of deductions necessary will be

In sheet metal working, the spring back increase when $$P:$$ Ratio of bend radius to sheet thickness is small $$Q:$$ Young's modulus of the sheet is low $$R:$$ Yield strength of th...

For $$50\% $$ penetration of work material, a punch with single shear equal to thickness will

In order to reduce roll pressure in strip rolling, back tension must be applied to strip.

A moving mandrel is used in

In metal forming operation, the true strain in the $$X$$-direction is $$0.3$$ and in the $$Y$$-direction is $$-0.1.$$ The true strain in the $$Z$$-direction is

In a bending operation, If the modulus of elasticity $$E$$ is increased keeping all other parameters unchanged, the spring back will

Which one of the following manufacturing process requires the provision of 'gutters'

The function of draw bead in the deep drawing operation is to

In order to reduce roll pressure in strip rolling, back tension can be applied to strip.

An annealed copper wire of $$25 mm$$ diameter is drawn into a wire of $$5$$ $$mm$$ dia. The average yield stress in this operation if the flow curve of the material is given $$\sig...

Forces in hot extrusion is a function of the strain hardening component of the billet material.

In producing a punched hole of $$20mm$$ diameter, the dimension of the punch is ........ given the radial die clearance of $$0.1mm.$$

In blanking operation, the best way to improve the smoothness and squarness of the edges is to

Calculate the minimum number of hot rolling passes necessary to reduce an ingot of $$200mm$$ thickness to $$100mm$$ thickness in two high reversible rolling mill with roll diameter...

Thread rolling is restricted to

A hemispherical cup of radius $$'R'$$ is formed in a press working operation. The radius of blank would be