Mechanical Engineering
GATE ME topic:machine-design PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 43. Imported answers require independent review unless marked reviewed.
Question 29
Open questionMEMSQ1 markNeeds review
Which of the following methods can improve the fatigue strength of a circular mild steel (MS) shaft?
Your answerSelect all correct options. You can choose more than one.
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Open questionMEMCQ2 marksNeeds review
A bracket is attached to a vertical column by means of two identical rivets U and V separated by a distance of
mm, as shown in the figure. The permissible shear stress of the rivet material is 50 MPa. If a load
kN is applied at an eccentricity
, the minimum cross-sectional area of each of the rivets to avoid failure is

________ mm².
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Open questionMENAT2 marksNeeds review
A shaft AC rotating at a constant speed carries a thin pulley of radius
m at the end C which drives a belt. A motor is coupled at the end A of the shaft such that it applies a torque
about the shaft axis without causing any bending moment. The shaft is mounted on narrow frictionless bearings at A and B where AB = BC = L = 0.5 m. The taut and slack side tensions of the belt are
N and
N, respectively. The allowable shear stress for the material is 80 MPa. The self-weights of the pulley and the shaft are negligible. Use the value of
available in the on-screen virtual calculator. Neglecting shock and fatigue loading and assuming maximum shear stress theory, the minimum required shaft diameter is ______ mm (round off to 2 decimal places). 
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Open questionMEMCQ1 markNeeds review
Shear stress distribution on the cross-section of the coil wire in a helical compression spring is shown in the figure. This shear stress distribution represents

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Open questionMEMCQ2 marksNeeds review
A power transmission mechanism consists of a belt drive and a gear train as shown in the figure.

Diameters of pulleys of belt drive and number of teeth (
) on the gears 2 to 7 are indicated in the figure. The speed and direction of rotation of gear 7, respectively, areYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 53
Open questionMENAT2 marksNeeds review
A short shoe drum (radius 260 mm) brake is shown in the figure. A force of 1 kN is applied to the lever. The coefficient of friction is 0.4.

The magnitude of the torque applied by the brake is ______ N.m (round off to one decimal place).
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Open questionMENAT2 marksNeeds review
A machine part in the form of cantilever beam is subjected to fluctuating load as shown in the figure. The load varies from 800 N to 1600 N. The modified endurance, yield and ultimate strengths of the material are 200 MPa, 500 MPa and 600 MPa, respectively.

The factor of safety of the beam using modified Goodman criterion is ______ (round off to one decimal place).
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Open questionMENAT2 marksNeeds review
A cantilever beam of rectangular cross-section is welded to a support by means of two fillet welds as shown in figure. A vertical load of 2 kN acts at free end of the beam.

Considering that the allowable shear stress in weld is 60 N/mm², the minimum size (leg) of the weld required is ______ mm (round off to one decimal place).
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Open questionMENAT2 marksNeeds review
The figure shows the relationship between fatigue strength (S) and fatigue life (N) of a material. The fatigue strength of the material for a life of 1000 cycles is 450 MPa, while its fatigue strength for a life of 10⁶ cycles is 150 MPa. The life of a cylindrical shaft made of this material subjected to an alternating stress of 200 MPa will then be ______ cycles (round off to the nearest integer).

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Open questionMEMCQ1 markNeeds review
A helical gear with 20° pressure angle and 30° helix angle mounted at the mid-span of a shaft that is supported between two bearings at the ends. The nature of the stresses induced in the shaft is
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