GATE CE format:nat PYQs & Answers — Page 47

Questions 461–470 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 47 of 50

Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure.

Diagram for Civil Engineering question 38

The length of the image of the tower A on the photograph is 1.5 cm and of the tower B is 2.0 cm. The distance of the top of the tower A (as shown by the arrowhead) is 4.0 cm and the distance of the top of the tower B is 6.0 cm, as measured from the principal point

of the photograph. If the height of the tower B is 80 m, the height (in meters) of the tower A is

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Consider the stepped bar made with a linear elastic material and subjected to an axial load of 1 kN, as shown in the figure.

Diagram for Civil Engineering question 39

Segments 1 and 2 have cross-sectional area of 100 mm

and 60 mm

, Young’s modulus of 2×10

MPa and 3×10

MPa, and length of 400 mm and 900 mm, respectively. The strain energy (in N-m, up to one decimal place) in the bar due to the axial load is

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A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is

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The value of M in the beam ABC shown in the figure is such that the joint B does not rotate.

Diagram for Civil Engineering question 40

The value of support reaction (in kN) at B should be equal to

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A simply supported rectangular concrete beam of span 8 m has to be prestressed with a force of 1600 kN. The tendon is of parabolic profile having zero eccentricity at the supports. The beam has to carry an external uniformly distributed load of intensity 30 kN/m. Neglecting the self-weight of the beam, the maximum dip (in meters, up to two decimal places) of the tendon at the mid-span to balance the external load should be

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Consider the beam ABCD shown in the figure.

Diagram for Civil Engineering question 41

AB = BC = 4 m; CD = 10 m. For a moving concentrated load of 50 kN on the beam, the magnitude of the maximum bending moment (in kN-m) obtained at the support C will be equal to

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Two plates of 8 mm thickness each are connected by a fillet weld of 6 mm thickness as shown in the figure.

The permissible stresses in the plate and the weld are 150 MPa and 110 MPa, respectively. Assuming the length of the weld shown in the figure to be the effective length, the permissible load

(in kN) is

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Consider two axially loaded columns, namely, 1 and 2, made of a linear elastic material with Young’s modulus 2×10

MPa, square cross-section with side 10 mm, and length 1 m. For Column 1, one end is fixed and the other end is free. For Column 2, one end is fixed and the other end is pinned. Based on the Euler’s theory, the ratio (up to one decimal place) of the buckling load of Column 2 to the buckling load of Column 1 is

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Consider the portal frame shown in the figure and assume the modulus of elasticity,

MPa and the moment of inertia,

for all the members of the frame.

Diagram for Civil Engineering question 42

The rotation (in degrees, up to one decimal place) at the rigid joint Q would be

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A column is subjected to a load through a bracket as shown in the figure.

Diagram for Civil Engineering question 43

The resultant force (in kN, up to one decimal place) in the bolt 1 is

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GATE CE format:nat PYQs

Question 38

Question 39

Question 39

Question 40

Question 40

Question 41

Question 41

Question 42

Question 42

Question 43