Questions 1111–1120 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 112 of 130

Question 26

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The value of the integral

is
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Question 26

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The matrix

has
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Question 27

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A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end. The vertical displacement at the free end is 5 mm. The beam is made of steel with Young’s modulus of 2.0×10

N/m

. The maximum bending stress at the fixed end of the cantilever is
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Question 27

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The Laplace transform

of the exponential function,

when

, where

is a constant and

, is
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Question 28

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A cylinder of radius 250 mm and weight, W = 10 kN is rolled up an obstacle of height 50 mm by applying a horizontal force P at its centre as shown in the figure.
Diagram for Civil Engineering question 28

All interfaces are assumed frictionless. The minimum value of P is
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Question 28

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The rank of the following matrix is

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Question 29

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A plate in equilibrium is subjected to uniform stress along its edges with magnitude

MPa and

MPa as shown in the figure.
Diagram for Civil Engineering question 29

The Young’s modulus of the material is 2×10

N/m

and the Poisson’s ratio is 0.3. If

is negligibly small and assumed to be zero, then the strain

is
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Question 29

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Two rigid bodies of mass 5 kg and 4 kg are at rest on a frictionless surface until acted upon by a force of 36 N as shown in the figure. The contact force generated between the two bodies is
Diagram for Civil Engineering question 29

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Question 30

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The figure shows a simply supported beam PQ of uniform flexural rigidity EI carry two moments M and 2M.
Diagram for Civil Engineering question 30

The slope at P will be
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Question 30

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Four bolts P, Q, R and S of equal diameter are used for a bracket subjected to a load of 130 kN as shown in the figure.
Diagram for Civil Engineering question 30

The force in bolt P is
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