Mechanical Engineering Gate Yearwise
Mechanical Engineering GATE 2023 Questions with Answer
Ques 40 Manufacturing Engineering
In a metal casting process to manufacture parts, both patterns and moulds provide shape by dictating where the material should or should not go. Which of the option(s) given correctly describe(s) the mould and the pattern?
Ques 41 Manufacturing Engineering
In an ideal orthogonal cutting experiment (see figure), the cutting speed V is 1 m/s. the rake angle of the tool α = 5 degrees, and the shear angle, φ, is known to be 45 degrees. Applying the ideal orthogonal cutting model, consider two shear planes PQ and RS close to each other. As they approach the thin shear zone (shown as a thick line in the figure), plane RS gets sheared with respect to PQ (point R1 shears to R2, and S1 shears to S2).
Assuming that the perpendicular distance between PQ and RS is δ = 25 µm, what is the value of shear strain rate (in s-1) that the material undergoes at the shear zone?
Ques 42 Manufacturing Engineering
A CNC machine has one of its linear positioning axes as shown in the figure, consisting of a motor rotating a lead screw, which in turn moves a nut horizontally on which a table is mounted. The motor moves in discrete rotational steps of 50 steps per revolution. The pitch of the screw is 5 mm and the total horizontal traverse length of the table is 100 mm. What is the total number of controllable locations at which the table can be positioned on this axis?
Ques 43 Mathematics
The value of k that makes the complex valued function. f(z) = e–kx [cos2y – i sin2y] analytic:
2 to 2 is the correct answer.
Ques 44 Mechanical
A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are
Ques 45 Mechanical
Consider incompressible laminar fluid flow of constant property Newtonian fluid in an isothermal circular tube. The flow is steady with fully developed temperature and velocity profiles. The Nusselt number for this flow depends on
Ques 46 Mechanics of Materials
The area moment of inertia about the y-axis of a linearly tapered section shown in the figure is _____________ m4.
(Answer in integer)
24 is the correct answer.
Ques 47 Mechanics of Materials
A cylindrical bar has a length L = 5 m and cross section area S = 10 m2. The bar is made of a linear elastic material with a density ρ = 2700 kg/m3 and Young’s modulus E = 70 GPa. The bar is suspended as shown in the figure and is in a state of uniaxial tension due to its self-weight.
The elastic strain energy stored in the bar equals _________ J.
(Rounded off to two decimal places)
Take the acceleration due to gravity as g = 9.8 m/s2.
240.10 is the correct answer.
Ques 48 Mechanics of Materials
A cylindrical transmission shaft of length 1.5 m and diameter 100 mm is made of a linear elastic material with a shear modulus of 80 GPa. While operating at 500 rpm, the angle of twist across its length is found to be 0.5 degrees.
The power transmitted by the shaft at this speed is _______kW.
(Rounded off to two decimal places)
Take π = 3.14.
64.14 is the correct answer.
Ques 49 Mechanics of Materials
A beam is undergoing pure bending as shown in the figure. The stress (σ) - strain (ε) curve for the material is also given. The yield stress of the material is σy. Which of the option(s) given represent(s) the bending stress distribution at cross-section AA after plastic yielding?
Ques 50 Mechanics of Materials
The principal stresses at a point P in a solid are 70 MPa, -70 MPa and 0. The yield stress of the material is 100 MPa. Which prediction(s) about material failure at P is/are CORRECT?
Ques 51 Mechanics of Materials
Which of the plot(s) shown is/are valid Mohr's circle representations of a stress state in a material? (The center of each circle is indicated by O.)
Ques 52 Mechanics of Materials
A beam of length L is loaded in the xy -plane by a uniformly distributed load, and by a concentrated tip load parallel to the z -axis, as shown in the figure. The resulting bending moment distributions about the y and the z axes are denoted by My and Mz respectively.
Which one of the options given depicts qualitatively CORRECT variations of My and Mz along the length of the beam?
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