Mechanical Engineering
GATE ME purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 121–130 of 1040. Imported answers require independent review unless marked reviewed.
Question 56
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The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (
) is __________ (rounded off to 2 decimal places).Use the Young’s Modulus E = 200 GPa and Poisson’s ratio
= 0.27.
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A simply supported beam of length 1 m is subjected to a uniformly distributed bending moment of 1 N m per m throughout the length as shown in the figure given below. The bending moment at the mid-point of the beam is ______ N m (rounded off to the nearest integer).
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An isotropic brittle material is tested in the universal testing machine. The stress-strain diagram for the material shows a bi-linear elastic behavior as shown in the figure given below.
The strain energy density is ______ MJ m
(rounded off to 2 decimal places).Log in to check the answer
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A pair of spur gears is required to maintain a velocity ratio of 1:2. The module of the gears is 10 mm and the addendum is 10 mm. If the operating pressure angle is 15°, the minimum number of teeth required on the pinion to ensure NO interference/undercutting is ____ (answer in integer).
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An offset slider-crank mechanism is shown in the figure below.
The length of the stroke of the slider is _____ mm (rounded off to nearest integer).
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Two plates of thickness 10 mm each are to be joined by a transverse fillet weld on one side and the resulting structure is loaded as shown in the figure below.
If the ultimate tensile strength of the weld material is 150 MPa and the factor of safety to be used is 3, the minimum length of the weld required to ensure that the weld does NOT fail is _____ mm (rounded off to 2 decimal places).
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Two metal parts (a cylinder and a cube) of same volume are cast under identical conditions. The diameter of the cylinder is equal to its height. The ratio of the solidification time of the cube to that of the cylinder is ______ (rounded off to 2 decimal places).
Assume that solidification time follows Chvorinov’s rule with an exponent of 2.
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Cylindrical workpieces of diameter 60 mm and length 400 mm are machined on a lathe at a cutting speed of 25 m min
and a feed of 0.2 mm rev
. The Taylor’s tool life parameters
and
for this setup are 75 and 0.25, respectively. The tool changing time is 3 minutes. With a labor and overhead cost of ₹ 5 per minute, the tool changing cost per piece is ₹ ______ (rounded off to 2 decimal places).Log in to check the answer
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A company uses 3000 units of a part annually. The units are priced as given in the table below. It costs ₹ 150 to place an order. Carrying costs are 40 percent of the purchase price per unit on an annual basis. The optimal total annual cost is ₹ ______ (rounded off to 1 decimal place).
Order quantity | Unit price (₹) |
|---|---|
1 to 499 | 9.0 |
500 to 999 | 8.5 |
1000 or more | 8.0 |
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A project involves eight activities with the presence relationship and duration as shown in the table below. The slack for the activity D is _____ hours (answer in integer).
Activity | Immediate predecessor | Duration (hours) |
|---|---|---|
A | - | 4 |
B | A | 8 |
C | A | 5 |
D | B | 2 |
E | B | 7 |
F | C | 6 |
G | D | 3 |
H | E, F, G | 9 |
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