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GATE Questions & Answers of Deflection of Beams

For any serious GATE exam candidate, it is imperative that he/she goes through the gate papers of previous years. This helps the students in planning his GATE exam preparation. The GATE syllabus is so huge that, without meticulous planning, GATE preparation will go for a toss.<br>

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GATE Questions & Answers of Deflection of Beams

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  1. Deflection of Beams

  2. GATE Question (ME-2014) A cantilever beam of length, L, with uniform cross-section and flexural rigidity, EI, is loaded uniformly by a vertical load, w per unit length. The maximum vertical deflection of the beam is given by

  3. GATE Question (ME-2012) A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is I and the young’s modulus is E. the magnitude of the maximum deflection is

  4. 2019

  5. 2019

  6. GATE Question (ME-2016) A cantilever beam having square cross-section of side a is subjected to an end load. If a is increased by 19%, the tip deflection decreases approximately by (A) 19% (B) 29% (C) 41% (D) 50%

  7. GATE Question (ME–2004) Common Data for Questions: A steel beam of breadth 120 mm and height 750 mm is loaded as shown in figure. Assume modulus of elasticity as 200 GPa. 120 kN/m 15 m

  8. GATE Question contd…(ME–2004) The beam is subjected to a maximum bending moment of (A) 3375 kN-m (C) 6750 kN-m (B) 4750 kN-m (D) 8750 kN-m

  9. GATE Question contd…(ME–2004) The value of maximum deflection of the beam is (A) 93.75 mm (C) 73.75 mm (B) 83.75 mm (D) 63.75 mm

  10. GATE Question (CE-2018-Set-1, 2Marks) A cantilever beam of length 2m with square section of side length 0.1 m is loaded vertically at free end. The vertical displacement at the free end is 5 mm. The beam is made of steel with Young’s modulus of .The maximum bending stress at the fixed end of the cantilever is (A) 20.0 MPa (B) 37.5 MPa(C) 60 MPa (D) 75 MPa

  11. GATE Question (ME-2015) A Cantilever beam with flexural rigidity of 2is loaded as shown in the figure. The deflection (in mm) at the tip of the beam is ____________

  12. 2020 ce

  13. GATE Question (ME-2014) The flexural rigidity (EI) of a cantilever beam is assumed to be constant over the length of the beam shown in figure. If a load P and bending moment PL/2 are applied at the free end of the beam then the value of the slope at the free end is

  14. GATE Question contd…(ME-2014)

  15. Example A Cantilever beam with Young’s modulus 2x, moment of inertia is loaded as shown in the figure. The deflection (in mm) at the tip of the beam is ____________ 4kN 2kN 2m 3m

  16. 2020

  17. GATE Question (ME-2015) A cantilever beam with square cross-section of 6 mm side is subjected to a load of 2 kN normal to the top surface as shown in the figure. The Young’s modulus of elasticity of the material of the beam is 210 GPa. The magnitude of slope (in radian) at Q (20 mm from the fixed end) is ________

  18. 2008

  19. GATE Question (ME-2011) Statement for Linked Data Questions A triangular-shaped cantilever beam of uniform-thickness is shown in the figure. The young’s modulus if the material of the beam is E. A concentrated load P is applied at the free end of the beam.

  20. GATE Question contd…(ME-2011) The area moment of inertia about the neutral axis of a cross-section at a distance x measure from the free end is

  21. GATE Question contd…(ME-2011) The maximum deflection of the beam is

  22. Example Calculate the deflection at the free end of the cantilever beam given below

  23. GATE Question (ME-2016) A simply supported beam of length 2L is subjected to a moment M at the mid-point x = 0 as shown in the figure. The deflection in the domain 0 ≤ x ≤ L is given by Where E is the Young’s modulus, I is the area moment of inertia and c is a constant (to be determined).

  24. GATE Question (ME-2016) The slope at the center x = 0 is (A) (C) (B) (D)

  25. GATE Question (ME-2007) A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are

  26. GATE Question contd…(ME-2007)

  27. GATE Question (ME-2014) A force P is applied at a distance x from the end of the beam as shown in the figure. What would be the value of x so that the displacement at ‘A’ is equal to zero?

  28. GATE Question contd…(ME-2014) (A) 0.5L (B) 0.25L (C) 0.33L (D) 0.66L

  29. GATE Question (CE-2015) Two beams are connected by a linear spring as shown in the following figure. For a load P as shown in the figure, the percentage of the applied load P carried by the spring is ___________.

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