Questions 71–80 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 8 of 130

Question 36

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Let

be a continuous function defined in

and satisfying the equation

The value of

is
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Question 36

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Let

where p is a constant. The value of

is
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Question 37

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An ordinary differential equation is given below.

Considering

and

as arbitrary constants, the general solution of the equation is
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Question 37

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Vector field

is defined as

. The curl of

at point

is
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Question 38

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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.
Diagram for Civil Engineering question 38

After application of the boundary conditions, the stiffness matrix of the truss becomes:
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Question 38

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A simply supported, linearly elastic, homogeneous, prismatic beam of length L and flexural rigidity EI is shown in the figure.
Diagram for Civil Engineering question 38

The expression for the Influence Line Diagram (ILD) of the rotation

at the support B is
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Question 39

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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.
Diagram for Civil Engineering question 39

What is the absolute value of the maximum bending moment (in kN-m) in the frame?
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Question 39

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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.
Diagram for Civil Engineering question 39

The force (in kN) along with its nature in member JF is
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Question 40

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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
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Question 40

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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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