GATE XE 2019 Paper 1 — page 27

Questions 79–81 of 175. Imported answers require review unless explicitly marked reviewed.

A simply supported beam is subjected to a concentrated force P = 4800 N at the mid-span as shown. The flexural rigidity of the beam is EI = 11 × 10⁶ N·m². The curvature of the beam between points Q and R is given as κ = (Px/2EI). The magnitude of deflection (in mm) of the beam at x = 0.5 m is

Diagram for Engineering Sciences question 14

Your answerChoose one option.

0.5

1.0

1.5

2.0

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The shear force (V) diagram for a cantilever beam under certain loads applied at points B and C is shown.

Diagram for Engineering Sciences question 15

The magnitude of applied force at B (F_B), and the magnitude of applied force at C (F_C), are

Your answerChoose one option.

F_B = 500 N, F_C = 300 N

F_B = 200 N, F_C = 300 N

F_B = 300 N, F_C = 200 N

F_B = 300 N, F_C = 500 N

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A bar of length 1 m, having a uniform area of cross section 1000 mm², is fixed at one end and subjected to a uniaxial tensile load of 200 kN at the other end. Along with the tensile load, the rod also experiences a uniform temperature rise ΔT = 100 °C. The material of the rod has a Young’s modulus E = 200 GPa and coefficient of thermal expansion α = 1×10⁻⁵/°C. The elongation of the rod (in mm) is ________.

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2019 · Paper 1

Question 14

Question 15

Question 16