GATE ME format:nat PYQs & Answers — Page 27

Questions 261–270 of 418. Imported answers require independent review unless marked reviewed.

Topic practice 418 questionsPage 27 of 42

During a high cycle fatigue test, a metallic specimen is subjected to cyclic loading with a mean stress of +140 MPa, and a minimum stress of −70 MPa. The R-ratio (minimum stress to maximum stress) for this cyclic loading is ______ (round off to one decimal place)

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A wire of circular cross-section of diameter 1.0 mm is bent into a circular arc of radius 1.0 m by application of pure bending moments at its ends. The Young’s modulus of the material of the wire is 100 GPa. The maximum tensile stress developed in the wire is ______ MPa.

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Water flows through a pipe with a velocity given by

m/s, where

is the unit vector in the y direction, t (> 0) is in seconds, and x and y are in meters. The magnitude of total acceleration at the point (x, y) = (1, 1) at t = 2 s is ______ m/s².

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Water enters a circular pipe of length

m and diameter

m with Reynolds number

. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit. The Reynolds number at the exit of the pipe is ______.

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Air of mass 1 kg, initially at 300 K and 10 bar, is allowed to expand isothermally till it reaches a pressure of 1 bar. Assuming air as an ideal gas with gas constant of 0.287 kJ/kg.K, the change in entropy of air (in kJ/kg.K, round off to two decimal places) is ______

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A thin vertical flat plate of height

, and infinite width perpendicular to the plane of the figure, is losing heat to the surroundings by natural convection. The temperatures of the plate and the surroundings, and the properties of the surrounding fluid, are constant. The relationship between the average Nusselt and Rayleigh numbers is given as

, where

is a constant. The length scales for Nusselt and Rayleigh numbers are the height of the plate. The height of the plate is increased to

keeping all other factors constant.

Diagram for Mechanical Engineering question 24

If the average heat transfer coefficient for the first plate is

and that for the second plate is

, the value of the ratio

is ____________.

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Consider the stress-strain curve for an ideal elastic-plastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from O. Upon loading, the stress-strain curve passes through initial yield point at P, and then strain hardens to point Q, where the loading was stopped. From point Q, the specimen was unloaded to point R, where the stress is zero. If the same specimen is reloaded in tension from point R, the value of stress at which the material yields again is ______ MPa.

Diagram for Mechanical Engineering question 25

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In an electrical discharge machining process, the breakdown voltage across inter electrode gap (IEG) is 200 V and the capacitance of the RC circuit is 50 μF. The energy (in J) released per spark across the IEG is _____

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A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity

is subjected to an applied moment

at the free end as shown in the figure.

Diagram for Mechanical Engineering question 37

The magnitude of the vertical deflection of the free end is ______ mm (round off to one decimal place).

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A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of 10 kN is applied at point D. The magnitude of force (in kN) in the member BC is

Diagram for Mechanical Engineering question 38

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GATE ME format:nat PYQs

Question 22

Question 22

Question 23

Question 23

Question 24

Question 24

Question 25

Question 25

Question 37

Question 38