Civil Engineering
GATE CE topic:infrastructure PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 1300. Imported answers require independent review unless marked reviewed.
Question 36
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Let
be a continuous function defined in
and satisfying the equation
The value of
isYour answerChoose one option.
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Let
where p is a constant. The value of
isYour answerChoose one option.
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An ordinary differential equation is given below.
Considering
and
as arbitrary constants, the general solution of the equation isYour answerChoose one option.
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Vector field
is defined as
. The curl of
at point
isYour answerChoose one option.
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A plane truss consists of two linearly elastic, homogeneous, identical members, namely PQ and QR. Both members have length
, cross-sectional area
, and modulus of elasticity
. The members are inclined at
as shown in the figure. The truss has hinge supports at P and R. The translational degrees-of-freedom (u and v) are shown at joint Q. 
After application of the boundary conditions, the stiffness matrix of the truss becomes:
Your answerChoose one option.
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A simply supported, linearly elastic, homogeneous, prismatic beam of length L and flexural rigidity EI is shown in the figure.

The expression for the Influence Line Diagram (ILD) of the rotation
at the support B isYour answerChoose one option.
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The plane frame has a hinge and a roller support, and is loaded as shown in the figure. Both the columns have same height.

What is the absolute value of the maximum bending moment (in kN-m) in the frame?
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The plane truss shown in the figure is hinge-supported at E and F. The truss is subjected to vertical downward force at R and horizontal force at G.

The force (in kN) along with its nature in member JF is
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For a hydraulic jump formed in a rectangular horizontal channel, the sequent depth ratio is 2. The Froude number of supercritical stream is
Your answerChoose one option.
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Consider the following statements with respect to rigid pavements:
Statement-1: Bottom-up cracking (BU) in rigid pavements is caused at the edge of the slab due to combined effect of single or tandem rear axle load and positive temperature differential.
Statement-2: Top-down fatigue cracking (TD) in rigid pavements is caused due to repeated cycles of axle loads and negative temperature differential.
The CORRECT option is:
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