Questions 411–420 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 42 of 130

Question 11

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For the integral

which of the following statements is TRUE?
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Question 11

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Let

be a scalar field, and

be a vector field. Which of the following identities is true for

?
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Question 12

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A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-point loads in the mid vertical plane as shown in the figure. Ignore the self-weight of the hanger. What is the maximum tensile stress in N/mm² anywhere in the hanger without considering stress concentration effects?
Diagram for Civil Engineering question 12

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Question 12

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Which of the following probability distribution functions (PDFs) has the mean greater than the median?
Diagram for Civil Engineering question 12

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Question 13

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Creep of concrete under compression is defined as the ________.
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Question 13

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A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without pollution clearance certificate. Further, even- and odd-numbered vehicles are operated on even- and odd-numbered dates, respectively.
If 100 vehicles are chosen at random on an even-numbered date, the number of vehicles expected without pollution clearance certificate is ______.
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Question 14

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A singly reinforced concrete beam of balanced section is made of M20 grade concrete and Fe415 grade steel bars. The magnitudes of the maximum compressive strain in concrete and the tensile strain in the steel at the ultimate state under flexure, as per IS 456: 2000 are ________, respectively. (round off to four decimal places)
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Question 14

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A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A torque T = 100 kN.m is applied at the free end. The shear modulus and polar moment of inertia of the section are denoted as G and J, respectively. The torsional rigidity GJ is 50,000 kN.m²/rad. The following are reported for this shaft:
Statement i) The rotation at the free end is 0.01 rad Statement ii) The torsional strain energy is 1.0 kN.m
With reference to the above statements, which of the following is true?
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Question 15

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In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE?
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Question 15

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M20 concrete as per IS 456: 2000 refers to concrete with a design mix having ________________
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