Engineering Sciences
GATE XE year:2017 PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 175. Imported answers require independent review unless marked reviewed.
Question 71
Open questionXE-DNAT2 marksNeeds review
The frame shown below carries a vertical load
at its free end D. The frame is fixed at A and has a roller support at B. Magnitude of the reaction force at B (in kN) is __________. Assume that the effect of the axial force on bending is negligible. 
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Open questionXE-DNAT2 marksNeeds review
Consider the system shown below. Mass
is fixed to the rod AC at a distance
from the hinge point at B. Two springs of stiffness 3K and K are attached to the rod at points A and C, respectively. The natural frequency of angular oscillation of the system about B is 20 rad/s. Assume the rod to be rigid and massless. Magnitude of
(in metres) is __________. (
, and
). 
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Open questionXE-DMCQ2 marksNeeds review
The simply supported beam shown below is subjected to a clockwise moment
at point A and to counterclockwise moments
and
at points B and C, respectively. Which one of the following is the correct bending moment diagram (tensile at bottom is positive moment) for the beam? 
Your answerChoose one option.
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Open questionXE-DNAT2 marksNeeds review
The structure shown below is of rectangular cross section and carries a load of 10kN at its free end E. Maximum bending stress (in MPa) developed in the beam due the external load is _________. The depth of the beam is 300mm and the width is 150mm.
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Open questionXE-DMCQ2 marksNeeds review
Two circular rods shown below carry the same axial load
. The Rod-A has uniform cross-section and the Rod-B has non-uniform cross-section as shown. The ratio of elongation of Rod-A to Rod-B is given by 
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
A composite shaft is made of a steel tube with an inner brass core perfectly bonded together as shown. The shaft is fixed at one end and subjected to a torque of
at the other end. Shear modulus of steel is
and that of brass is
. The outer radius of the steel tube is
and radius of the inner brass core is
. The magnitude of shear stress at the interface (point X) and in the steel tube is closest to 
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
A massless rod of rectangular cross-section is subjected to a force
at origin
as shown. The expression for the stress
at point
is given by 
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Open questionXE-EMCQ1 markNeeds review
Given
and
, thenYour answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
A paddle wheel is installed in a rigid insulated tank containing 10 kg air (
kJ/kg.K). A torque of 100 N.m is applied on the paddle wheel to rotate it at 60 revolutions per minute for 2 minutes. At the end of the process, the increase in temperature of air in °C isYour answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
Consider two systems each containing 20 kg of air at the same temperature and pressure. It is desired to increase the temperature of the air in both systems by 10°C. One system undergoes a constant pressure heat addition process and the other undergoes a constant volume heat addition. The difference in the values of heat transferred to the two systems in kJ is
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