What topics are covered on Page 4 of GATE 2026 Mechanical Engineering questions?

Page 4 contains Questions 40 to 52. Topics include worm gears, distortion energy theory, biaxial stress, weld stresses, casting defects, additive manufacturing STL files, milling fixtures, surface metrology, Euler law for polyhedral objects, deep drawing, FCC crystal structure, orthogonal machining, Taylor tool life equation, and shear-force and bending-moment diagrams.

What is the permissible stress using distortion energy theory in GATE 2026 Mechanical?

For the steel plate with yield strength of 550 MPa, biaxial stresses σx = σ and σy = -2σ, and a factor of safety of 2, the permissible value of σ is 158.8 MPa.

Which option is not an STL file error in the GATE 2026 additive manufacturing question?

Staircase effect is the correct answer. Missing facets, non-manifold topology conditions and degenerate facets are STL file errors, whereas staircase effect is associated with the layer-based manufacturing process rather than an STL file error itself.

What is the normal anisotropy in the GATE 2026 deep drawing question?

For the rectangular sheet undergoing 30 percent stretching in length and 15 percent reduction in thickness under volume constancy, the normal anisotropy is 0.62.

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Mechanical Engineering Gate 2026 Questions with Answer

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Ques 40 GATE 2026

Worm gearsets are used for transmitting rotary motion between

non-parallel and non-intersecting shafts

intersecting shafts

parallel shafts

non-parallel and intersecting shafts

(a) is the correct answer.

Ques 41 GATE 2026

A steel plate having yield strength of 550 MPa, is subjected to biaxial state of stress as σ_x = σ and σ_y = −2σ. Using distortion energy theory and considering the factor of safety as 2, the permissible value of σ that can be applied to the plate is ________ MPa (rounded off to 1 decimal place).

(158.8) is the correct answer.

Ques 42 GATE 2026

A welded square plate of 1 m × 1 m is subjected to biaxial stress of magnitude 6.5 MPa and 25 MPa, as shown in the figure below. The ratio of the normal stress acting in the perpendicular direction of the weld to the shear stress of the weld is ________ (rounded off to 2 decimal places).

(1.71) is the correct answer.

Ques 43 GATE 2026

In relation to metal casting defects, match the following

P−II, Q−III, R−I

P−II, Q−I, R−III

P−III, Q−I, R−II

P−III, Q−II, R−I

(a) is the correct answer.

Ques 44 GATE 2026

Which one of the following options is NOT an error associated with STereoLithography (STL) file in additive manufacturing?

Staircase effect

Missing facet

Non-manifold topology conditions

Degenerate facets

(a) is the correct answer.

Ques 45 GATE 2026

A work piece is to be firmly held in a fixture. It is to be machined by using a plain slab milling cutter as shown in the figure below.
Which one of the following options is the most suitable value of height H of the fixture in mm?

200

210

150

(a) is the correct answer.

Ques 46 GATE 2026

A two-dimensional surface profile is obtained over a sampling length by using a contact type stylus profilometer as shown in the figure below. A line AA parallel to the general lay of the trace is considered. The true heights from AA to the peaks and valleys (in µm) in the trace are also shown in the figure (not to scale).
The ten-point height average in µm is

4.57

5.99

3.09

2.90

(a) is the correct answer.

Ques 47 GATE 2026

Consider the Euler variables of polyhedral objects namely, P1, P2, P3, and P4 as given in the table below.

Which one of the following options is NOT a topologically valid closed polyhedral object as per Euler’s law?

(a) is the correct answer.

Ques 48 GATE 2026

In a deep drawing operation of a rectangular sheet metal, 30% stretching in length results in 15% reduction in thickness. Assuming volume constancy, the normal anisotropy of the sheet metal is ________ (rounded off to 2 decimal places).

(0.62) is the correct answer.

Ques 49 GATE 2026

A metal has FCC crystal structure with 2.71 g/cm³ of density and 26.98 g/mol of atomic weight. The Avogadro’s number is 6.023 × 10²³. The atomic radius of the metal is ________ nm (rounded off to 2 decimal places).

(0.14) is the correct answer.

Ques 50 GATE 2026

During orthogonal turning by using a single point cutting tool, feed rate is 0.24 mm/rev. The uncut chip thickness is 0.23 mm. The shear angle, tangential force component, and radial force component are 20°, 800 N, and 150 N, respectively. The value of shear force is ________ N (rounded off to 2 decimal places).

(723.35) is the correct answer.

Ques 51 GATE 2026

A drill bit during its lifetime can produce 150 through holes in a plate at a drill-speed of 200 RPM. If the drill-speed increases to 300 RPM, then it can produce 60 through holes in the same plate before the drill bit fails. Assume all other parameters remain constant. The value of the exponent in Taylor’s tool life equation is ________ (rounded off to 2 decimal places).

(0.35) is the correct answer.

Ques 52 GATE 2026

A cantilever beam of length L is subjected to a concentrated load P and a moment M as shown in the figure below. Neglecting the mass of the beam, which one of the following options is the correct representation of shear force diagram (SFD) and bending moment diagram (BMD)?

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